×

zbMATH — the first resource for mathematics

Ruan, Shigui

Compute Distance To:
Author ID: ruan.shigui Recent zbMATH articles by "Ruan, Shigui"
Published as: Ruan, Shigui; Ruan, S.; Ruan, ShiGui; Shigui, Ruan
Homepage: http://www.math.miami.edu/~ruan/
External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp · GND
Documents Indexed: 250 Publications since 1988, including 12 Books
Reviewing Activity: 16 Reviews
all top 5

Co-Authors

22 single-authored
23 Magal, Pierre
15 Li, Wan-Tong
13 Huang, Jicai
13 Wu, Jianhong
13 Xiao, Dongmei
12 Wang, Zhi Cheng
12 Wei, Junjie
9 Cosner, Chris
9 Lin, Guo
9 Zou, Lan
8 Cantrell, Robert Stephen
8 Chen, Jing
8 Liu, Zhihua
8 Zhang, Weinian
7 Gao, Daozhou
7 Zhang, Xinan
6 Beier, John C.
6 Ducrot, Arnaud
6 Kang, Hao
6 Liu, Sanhong
5 Bi, Ping
5 Freedman, Herbert Irving
5 Jin, Zhen
5 Kuang, Yang
5 Li, Michael Yi
5 Wang, Hao
5 Wolkowicz, Gail S. K.
4 Gourley, Stephen A.
4 He, Xuezhong
4 Huo, Xi
4 Sun, Guiquan
4 Sun, Xiang-Dong
4 Tian, Canrong
4 Wang, Wendi
4 Webb, Glenn Francis
4 Zhang, Juan
4 Zhao, Guangyu
3 Adimy, Mostafa
3 Crauste, Fabien
3 D’Agata, Erika M. C.
3 Deng, Zongqi
3 Feng, Xiaomei
3 Huang, Qimin
3 Liu, Dan
3 Lou, Yuan
3 Lu, Gang
3 Ma, Wanbiao
3 Tang, Yilei
3 Teng, Zhi-dong
3 Xia, Huaxing
3 Xu, Wenbing
3 Zhao, Lin
3 Zhu, Deming
2 Bo, Wei-Jian
2 Chu, Jixun
2 Culshaw, Rebecca V.
2 DeAngelis, Donald L.
2 Deng, Zhongqi
2 Fuller, Douglas O.
2 Hsu, Szebi
2 Hu, Zhixing
2 Huang, Jianhua
2 Lenhart, Suzanne M.
2 Liu, Zijian
2 Lou, Yijun
2 Pang, Jianhua
2 Pang, Liuyong
2 Shi, Hongbo
2 Su, Qiuyi
2 Su, Ying
2 Wang, Yuanshi
2 Wu, Hong
2 Wu, Shiliang
2 Yang, Ting-Hui
2 Yang, Yu
2 Zhang, Guoyan
1 Ambrosio, Benjamin
1 Bai, Dingyong
1 Boushaba, Khalid
1 Cai, Liming
1 Campbell, Sue Ann
1 Cantrell, Stephen
1 Casas, Jérôme
1 Chamchod, Farida
1 Chen, Lansun
1 Chen, Xianyong
1 Chen, Xingwu
1 Clements, John C.
1 Erbe, Lynn Harry
1 Fang, Bin
1 Fang, Yile
1 Feng, Guangting
1 Filfil, Rami S.
1 Fu, Guifang
1 Gerardo-Giorda, Luca
1 Gong, Yijun
1 Guan, Yongtao
1 Haddock, John R.
1 Hadeler, Karl-Peter
1 Hassan, Ali N.
...and 76 more Co-Authors
all top 5

Serials

21 Journal of Differential Equations
19 Discrete and Continuous Dynamical Systems. Series B
16 Journal of Mathematical Biology
14 Mathematical Biosciences
12 SIAM Journal on Applied Mathematics
11 Journal of Mathematical Analysis and Applications
9 Bulletin of Mathematical Biology
9 The Canadian Applied Mathematics Quarterly
9 Mathematical Biosciences and Engineering
8 Journal of Theoretical Biology
6 Journal of Dynamics and Differential Equations
5 Journal of Central China Normal University. Natural Sciences
5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Nonlinear Analysis. Real World Applications
4 Journal of Biological Dynamics
3 Applied Mathematics and Computation
3 Proceedings of the American Mathematical Society
3 Physica D
3 Differential and Integral Equations
3 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
3 SIAM Journal on Mathematical Analysis
3 Journal of Nonlinear Science
3 Discrete and Continuous Dynamical Systems
3 SIAM Journal on Applied Dynamical Systems
3 Mathematical Modelling of Natural Phenomena
3 Science China. Mathematics
2 IMA Journal of Applied Mathematics
2 Nonlinearity
2 ZAMP. Zeitschrift für angewandte Mathematik und Physik
2 Annals of Differential Equations
2 Communications on Pure and Applied Analysis
2 Fields Institute Communications
1 Archive for Rational Mechanics and Analysis
1 Bulletin of the Australian Mathematical Society
1 Computers & Mathematics with Applications
1 Rocky Mountain Journal of Mathematics
1 Chaos, Solitons and Fractals
1 Acta Mathematica Sinica
1 Annali di Matematica Pura ed Applicata. Serie Quarta
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Gazette des Mathématiciens
1 IEEE Transactions on Automatic Control
1 Journal of Functional Analysis
1 Mathematische Annalen
1 Memoirs of the American Mathematical Society
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Quarterly of Applied Mathematics
1 Theoretical Population Biology
1 Transactions of the American Mathematical Society
1 Journal of Mathematics. Wuhan University
1 Acta Mathematicae Applicatae Sinica
1 Northeastern Mathematical Journal
1 IMA Journal of Mathematics Applied in Medicine and Biology
1 Mathematica Applicata
1 European Journal of Applied Mathematics
1 Applied Mathematical Modelling
1 Journal de Mathématiques Pures et Appliquées. Neuvième Série
1 Advances in Differential Equations
1 Differential Equations and Dynamical Systems
1 Chaos
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 Communications in Nonlinear Science and Numerical Simulation
1 Journal of Biological Systems
1 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
1 Mathematical Medicine and Biology
1 Applied Mathematical Sciences
1 Lecture Notes in Mathematics
1 Lecture Notes in Pure and Applied Mathematics
1 Computational & Mathematical Methods in Medicine
1 Discrete and Continuous Dynamical Systems. Series S
1 Journal of Nanjing University of Information Science and Technology. Natural Science Edition
1 Journal of Applied Analysis and Computation
1 Nonlinear Analysis. Theory, Methods & Applications
1 Journal of Shanghai Normal University. Natural Sciences
1 Proceedings of the American Mathematical Society. Series B
1 Chapman & Hall/CRC Mathematical and Computational Biology Series

Publications by Year

Citations contained in zbMATH Open

199 Publications have been cited 6,227 times in 3,971 Documents Cited by Year
On the zeros of transcendental functions with applications to stability of delay differential equations with two delays. Zbl 1068.34072
Ruan, Shigui; Wei, Junjie
357
2003
A delay-differential equation model of HIV infection of \(\text{CD}4^+\) T-cells. Zbl 0981.92009
Culshaw, Rebecca V.; Ruan, Shigui
243
2000
Dynamical behavior of an epidemic model with a nonlinear incidence rate. Zbl 1028.34046
Ruan, Shigui; Wang, Wendi
225
2003
Global analysis in a predator-prey system with nonmonotonic functional response. Zbl 0986.34045
Ruan, Shigui; Xiao, Dongmei
223
2001
Stability and bifurcation in a neural network model with two delays. Zbl 1066.34511
Wei, Junjie; Ruan, Shigui
200
1999
Global analysis of an epidemic model with nonmonotone incidence rate. Zbl 1119.92042
Xiao, Dongmei; Ruan, Shigui
174
2007
Uniform persistence and flows near a closed positively invariant set. Zbl 0811.34033
Freedman, H. I.; Ruan, Shigui; Tang, Moxun
168
1994
Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031
Xiao, Dongmei; Ruan, Shigui
133
2001
Travelling wave fronts in reaction-diffusion systems with spatio-temporal delays. Zbl 1100.35050
Wang, Zhi-Cheng; Li, Wan-Tong; Ruan, Shigui
132
2006
Existence of travelling wave solutions in delayed reaction-diffusion systems with applications to diffusion-competition systems. Zbl 1103.35049
Li, Wantong; Lin, Guo; Ruan, Shigui
127
2006
Uniform persistence in functional differential equations. Zbl 0814.34064
Freedman, H. I.; Ruan, Shigui
100
1995
Traveling fronts in monostable equations with nonlocal delayed effects. Zbl 1141.35058
Wang, Zhi-Cheng; Li, Wan-Tong; Ruan, Shigui
98
2008
Existence and stability of traveling wave fronts in reaction advection diffusion equations with nonlocal delay. Zbl 1124.35089
Wang, Zhi-Cheng; Li, Wan-Tong; Ruan, Shigui
93
2007
Predator-prey models with delay and prey harvesting. Zbl 1008.34066
Martin, Annik; Ruan, Shigui
91
2001
Bifurcations in an epidemic model with constant removal rate of the infectives. Zbl 1054.34071
Wang, Wendi; Ruan, Shigui
89
2004
Absolute stability, conditional stability and bifurcation in Kolmogorov-type predator-prey systems with discrete delays. Zbl 1035.34084
Ruan, Shigui
86
2001
On the zeros of a third degree exponential polynomial with applications to a delayed model for the control of testosterone secretion. Zbl 0982.92008
Ruan, Shigui; Wei, Junjie
83
2001
Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response. Zbl 1326.34082
Huang, Jicai; Ruan, Shigui; Song, Jing
75
2014
Entire solutions in bistable reaction-diffusion equations with nonlocal delayed nonlinearity. Zbl 1168.35023
Wang, Zhi-Cheng; Li, Wan-Tong; Ruan, Shigui
74
2009
Convergence and travelling fronts in functional differential equations with nonlocal terms: A competition model. Zbl 1040.92045
Gourley, Stephen A.; Ruan, Shigui
73
2003
Stability of steady states and existence of travelling waves in a vector-disease model. Zbl 1065.35059
Ruan, Shigui; Xiao, Dongmei
73
2004
Multiple bifurcation in a delayed predator-prey system with nonmonotonic functional response. Zbl 1003.34064
Xiao, Dongnei; Ruan, Shigui
73
2001
Delay differential equations in single species dynamics. Zbl 1130.34059
Ruan, S.
69
2006
Existence of traveling wave solutions in a diffusive predator-prey model. Zbl 1018.92026
Huang, Jianhua; Lu, Gang; Ruan, Shigui
68
2003
On the diffusive Nicholson’s blowflies equation with nonlocal delay. Zbl 1134.35064
Li, W.-T.; Ruan, S.; Wang, Z.-C.
67
2007
Persistence and coexistence in zooplankton-phytoplankton-nutrient models with instantaneous nutrient recycling. Zbl 0779.92021
Ruan, Shigui
64
1993
Optimal HIV treatment by maximising immune response. Zbl 1057.92035
Culshaw, Rebecca V.; Ruan, Shigui; Spiteri, Raymond J.
64
2004
Center manifolds for semilinear equations with non-dense domain and applications to Hopf bifurcation in age structured models. Zbl 1191.35045
Magal, Pierre; Ruan, Shigui
62
2009
Bogdanov-Takens bifurcations in predator-prey systems with constant rate harvesting. Zbl 0917.34029
Xiao, Dongmei; Ruan, Shigui
61
1999
On nonlinear dynamics of predator-prey models with discrete delay. Zbl 1172.34046
Ruan, S.
61
2009
On semilinear Cauchy problems with non-dense domain. Zbl 1225.47042
Magal, Pierre; Ruan, Shigui
57
2009
Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions. Zbl 1331.34160
Yang, Yu; Zou, Lan; Ruan, Shigui
56
2015
Periodic solutions of planar systems with two delays. Zbl 0946.34062
Ruan, Shigui; Wei, Junjie
55
1999
Competition in the chemostat: A distributed delay model and its global asymptotic behavior. Zbl 0893.34067
Wolkowicz, Gail S. K.; Xia, Huaxing; Ruan, Shigui
55
1997
Kamenev type theorems for second order matrix differential systems. Zbl 0777.34024
Erbe, Lynn H.; Kong, Qingkai; Ruan, Shigui
55
1993
Existence, uniqueness and asymptotic stability of time periodic traveling waves for a periodic Lotka-Volterra competition system with diffusion. Zbl 1227.35125
Zhao, Guangyu; Ruan, Shigui
55
2011
Dynamics of a two-neuron system with discrete and distributed delays. Zbl 1049.92004
Ruan, Shigui; Filfil, Rami S.
54
2004
A mathematical study of the hematopoiesis process with applications to chronic myelogenous leukemia. Zbl 1090.34058
Adimy, Mostafa; Crauste, Fabien; Ruan, Shigui
50
2005
Bifurcation analysis in a predator-prey model with constant-yield predator harvesting. Zbl 1417.34092
Huang, Jicai; Gong, Yijun; Ruan, Shigui
49
2013
On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040
Ruan, Shigui; Xiao, Dongmei; Beier, John C.
48
2008
An SIS patch model with variable transmission coefficients. Zbl 1218.92064
Gao, Daozhou; Ruan, Shigui
45
2011
Travelling wave solutions in multigroup age-structured epidemic models. Zbl 1181.92071
Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui
44
2010
The effects of human movement on the persistence of vector-borne diseases. Zbl 1402.92386
Cosner, C.; Beier, J. C.; Cantrell, R. S.; Impoinvil, D.; Kapitanski, L.; Potts, M. D.; Troyo, A.; Ruan, S.
41
2009
Dynamics of the diffusive Nicholson’s blowflies equation with distributed delay. Zbl 0973.34064
Gourley, S. A.; Ruan, S.
41
2000
Bifurcation analysis of a chemostat model with a distributed delay. Zbl 0879.92031
Ruan, Shigui; Wolkowicz, Gail S. K.
40
1996
A multipatch malaria model with logistic growth populations. Zbl 1250.92029
Gao, Daozhou; Ruan, Shigui
38
2012
Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference. Zbl 1327.35376
Shi, Hong-Bo; Ruan, Shigui
38
2015
Hopf bifurcation for non-densely defined Cauchy problems. Zbl 1242.34112
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
38
2011
Traveling wave solutions for delayed reaction-diffusion systems and applications to diffusive Lotka-Volterra competition models with distributed delays. Zbl 1311.35052
Lin, Guo; Ruan, Shigui
37
2014
The effect of delays on stability and persistence in plankton models. Zbl 0830.34067
Ruan, Shigui
36
1995
Analysis of SIR epidemic models with nonlinear incidence rate and treatment. Zbl 1250.92031
Hu, Zhixing; Ma, Wanbiao; Ruan, Shigui
35
2012
Qualitative analysis of a neural network model with multiple time delays. Zbl 1192.37115
Campbell, Sue Ann; Ruan, Shigui; Wei, Junjie
35
1999
Theory and applications of abstract semilinear Cauchy problems. Zbl 1447.34002
Magal, Pierre; Ruan, Shigui
34
2018
Intraspecific interference and consumer-resource dynamics. Zbl 1100.92061
Cantrell, Robert Stephen; Cosner, Chris; Ruan, Shigui
34
2004
The effect of global travel on the spread of SARS. Zbl 1089.92049
Ruan, Shigui; Wang, Wendi; Levin, Simon A.
34
2006
Time periodic traveling wave solutions for periodic advection-reaction-diffusion systems. Zbl 1304.35199
Zhao, Guangyu; Ruan, Shigui
33
2014
Modeling spatial spread of communicable disease involving animal hosts. Zbl 1183.92074
Ruan, Shigui; Wu, Jianhong
33
2010
On integrated semigroups and age structured models in \(L^p\) spaces. Zbl 1212.35238
Magal, Pierre; Ruan, Shigui
32
2007
Persistence and extinction in two species reaction-diffusion systems with delays. Zbl 0936.35092
Ruan, Shigui; Zhao, Xiao-Qiang
31
1999
Analysis of three species Lotka-Volterra food web models with omnivory. Zbl 1333.92046
Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui
31
2015
Reaction-diffusion equations with infinite delay. Zbl 0836.35158
Ruan, Shigui; Wu, Jianhong
30
1994
Stability and bifurcation in delay-differential equations with two delays. Zbl 0946.34066
Li, Xiangao; Ruan, Shigui; Wei, Junjie
30
1999
Global stability in chemostat-type equations with distributed delays. Zbl 0916.34064
He, Xue-Zhong; Ruan, Shigui; Xia, Huaxing
29
1998
Modeling the transmission dynamics and control of hepatitis B virus in China. Zbl 1403.92316
Zou, Lan; Zhang, Weinian; Ruan, Shigui
28
2010
Global stability in chemostat-type competition models with nutrient recycling. Zbl 0912.34062
Ruan, Shigui; He, Xue-Zhong
28
1998
Hopf bifurcation in three-species food chain models with group defense. Zbl 0761.92039
Freedman, H. I.; Ruan, Shigui
28
1992
Coexistence of limit cycles and homoclinic loops in a SIRS model with a nonlinear incidence rate. Zbl 1171.34033
Tang, Yilei; Huang, Deqing; Ruan, Shigui; Zhang, Weinian
28
2008
Stability and Hopf bifurcation in a mathematical model of pluripotent stem cell dynamics. Zbl 1074.92010
Adimy, Mostafa; Crauste, Fabien; Ruan, Shigui
27
2005
Global stability in chemostat-type plankton models with delayed nutrient recycling. Zbl 0935.92034
He, Xue-Zhong; Ruan, Shigui
27
1998
Codimension two bifurcations in a predator-prey system with group defense. Zbl 1091.92504
Xiao, Dongmei; Ruan, Shigui
27
2001
Interaction of diffusion and delay. Zbl 1128.92001
Hadeler, Karl P.; Ruan, Shigui
26
2007
Structured population models in biology and epidemiology. Zbl 1138.92029
Magal, Pierre (ed.); Ruan, Shigui (ed.)
26
2008
Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Zbl 1207.92040
Hu, Zhixing; Bi, Ping; Ma, Wanbiao; Ruan, Shigui
26
2011
The effects of harvesting and time delay on predator-prey systems with Holling type II functional response. Zbl 1203.34137
Xia, Jing; Liu, Zhihua; Yuan, Rong; Ruan, Shigui
26
2009
Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118
Bi, Ping; Ruan, Shigui
25
2013
Modeling seasonal rabies epidemics in China. Zbl 1237.92056
Zhang, Juan; Jin, Zhen; Sun, Gui-Quan; Sun, Xiang-Dong; Ruan, Shigui
25
2012
Oscillations of second order neutral differential equations. Zbl 0798.34079
Ruan, Shigui
24
1993
Turing instability and travelling waves in diffusive plankton models with delayed nutrient recycling. Zbl 0911.92028
Ruan, Shigui
24
1998
Hopf bifurcation in a size-structured population dynamic model with random growth. Zbl 1172.35322
Chu, Jixun; Ducrot, Arnaud; Magal, Pierre; Ruan, Shigui
24
2009
Spreading speeds and traveling waves in competitive recursion systems. Zbl 1232.92072
Lin, Guo; Li, Wan-Tong; Ruan, Shigui
24
2011
Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function. Zbl 1330.35480
Yang, Yu; Ruan, Shigui; Xiao, Dongmei
23
2015
Bifurcations of invariant tori in predator-prey models with seasonal prey harvesting. Zbl 1294.34050
Chen, Jing; Huang, Jicai; Ruan, Shigui; Wang, Jihua
21
2013
An age-structured model for the transmission dynamics of hepatitis B. Zbl 1210.35269
Zou, Lan; Ruan, Shigui; Zhang, Weinian
21
2010
Stability and backward bifurcation in a malaria transmission model with applications to the control of malaria in China. Zbl 1356.92081
Feng, Xiaomei; Ruan, Shigui; Teng, Zhidong; Wang, Kai
20
2015
Global dynamics of avian influenza epidemic models with psychological effect. Zbl 1344.92172
Liu, Sanhong; Pang, Liuyong; Ruan, Shigui; Zhang, Xinan
20
2015
Stability and global Hopf bifurcation for neutral differential equations. Zbl 1018.34068
Wei, Junjie; Ruan, Shigui
19
2002
Entire solutions for nonlocal dispersal equations with spatio-temporal delay: monostable case. Zbl 1318.34107
Wu, Shi-Liang; Ruan, Shigui
19
2015
Asymptotic behavior in nosocomial epidemic models with antibiotic resistance. Zbl 1212.35229
D’Agata, Erika M. C.; Magal, Pierre; Ruan, Shigui; Webb, Glenn
19
2006
Traveling wave solutions in a two-group epidemic model with latent period. Zbl 1367.35192
Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui
18
2017
Bifurcations in a discrete predator-prey model with nonmonotonic functional response. Zbl 1392.92077
Huang, Jicai; Liu, Sanhong; Ruan, Shigui; Xiao, Dongmei
17
2018
Traveling wave solutions in delayed lattice differential equations with partial monotonicity. Zbl 1084.34059
Huang, Jianhua; Lu, Gang; Ruan, Shigui
17
2005
Normal forms for semilinear equations with non-dense domain with applications to age structured models. Zbl 1347.37125
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
17
2014
Bifurcation of codimension 3 in a predator-prey system of Leslie type with simplified Holling type IV functional response. Zbl 1334.34099
Huang, Jicai; Xia, Xiaojing; Zhang, Xinan; Ruan, Shigui
17
2016
Nonlinear dynamics of avian influenza epidemic models. Zbl 1398.92242
Liu, Sanhong; Ruan, Shigui; Zhang, Xinan
16
2017
Versal unfoldings of predator-prey systems with ratio-dependent functional response. Zbl 1205.34038
Ruan, Shigui; Tang, Yilei; Zhang, Weinian
16
2010
Traveling wave solutions in a two-group SIR epidemic model with constant recruitment. Zbl 1406.35445
Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui
15
2018
Entire solutions in lattice delayed differential equations with nonlocal interaction: bistable cases. Zbl 1390.34219
Wang, Z.-C.; Li, W.-T.; Ruan, S.
15
2013
A periodic Ross-Macdonald model in a patchy environment. Zbl 1327.92059
Gao, Daozhou; Lou, Yijun; Ruan, Shigui
15
2014
Periodic and chaotic oscillations in a tumor and immune system interaction model with three delays. Zbl 1345.92073
Bi, Ping; Ruan, Shigui; Zhang, Xinan
15
2014
Existence, uniqueness and stability of pyramidal traveling fronts in reaction-diffusion systems. Zbl 1349.35198
Wang, ZhiCheng; Li, WanTong; Ruan, ShiGui
15
2016
Nonlinear age-structured population models with nonlocal diffusion and nonlocal boundary conditions. Zbl 1456.35083
Kang, Hao; Ruan, Shigui
2
2021
Spatial propagation in nonlocal dispersal Fisher-KPP equations. Zbl 1470.35118
Xu, Wen-Bing; Li, Wan-Tong; Ruan, Shigui
1
2021
Approximation of random diffusion by nonlocal diffusion in age-structured models. Zbl 1464.35391
Kang, Hao; Ruan, Shigui
1
2021
Nonlinear dynamics in tumor-immune system interaction models with delays. Zbl 1468.34115
Ruan, Shigui
1
2021
Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response. Zbl 1440.34052
Xiang, Chuang; Huang, Jicai; Ruan, Shigui; Xiao, Dongmei
2
2020
Spreading speed in an integrodifference predator-prey system without comparison principle. Zbl 1437.92154
Lin, Guo; Niu, Yibin; Pan, Shuxia; Ruan, Shigui
2
2020
On a network model of two competitors with applications to the invasion and competition of Aedes albopictus and Aedes aegypti mosquitoes in the United States. Zbl 1439.35495
Liu, Zuhan; Tian, Canrong; Ruan, Shigui
2
2020
Spatial propagation in an epidemic model with nonlocal diffusion: the influences of initial data and dispersals. Zbl 1464.35384
Xu, Wen-Bing; Li, Wan-Tong; Ruan, Shigui
2
2020
Dynamics of a time-periodic two-strain SIS epidemic model with diffusion and latent period. Zbl 1430.92119
Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui
1
2020
Dynamic analysis and optimal control of a three-age-class HIV/AIDS epidemic model in China. Zbl 1448.92366
Zhao, Hongyong; Wu, Peng; Ruan, Shigui
1
2020
Existence of periodic solutions in abstract semilinear equations and applications to biological models. Zbl 1450.35026
Su, Qiuyi; Ruan, Shigui
1
2020
Periodic solutions of an age-structured epidemic model with periodic infection rate. Zbl 1460.35353
Kang, Hao; Huang, Qimin; Ruan, Shigui
1
2020
Dynamics of a nonlocal dispersal SIS epidemic model with Neumann boundary conditions. Zbl 1416.35285
Yang, Fei-Ying; Li, Wan-Tong; Ruan, Shigui
11
2019
Pattern formation and synchronism in an allelopathic plankton model with delay in a network. Zbl 1416.34071
Tian, Canrong; Ruan, Shigui
7
2019
Bifurcation analysis of an SIRS epidemic model with a generalized nonmonotone and saturated incidence rate. Zbl 1421.92034
Lu, Min; Huang, Jicai; Ruan, Shigui; Yu, Pei
6
2019
Bifurcation analysis of a Mosquito population model with a saturated release rate of sterile mosquitoes. Zbl 1428.34066
Huang, Jicai; Ruan, Shigui; Yu, Pei; Zhang, Yuyue
6
2019
Local and global stabilities of a viral dynamics model with infection-age and immune response. Zbl 1417.35210
Pang, Jianhua; Chen, Jing; Liu, Zijian; Bi, Ping; Ruan, Shigui
5
2019
Modelling diapause in mosquito population growth. Zbl 1411.37070
Lou, Yijun; Liu, Kaihui; He, Daihai; Gao, Daozhou; Ruan, Shigui
2
2019
Optimal control of environmental cleaning and antibiotic prescription in an epidemiological model of methicillin-resistant Staphylococcus aureus infections in hospitals. Zbl 1425.92129
Huang, Qimin; Huo, Xi; Ruan, Shigui
1
2019
Theory and applications of abstract semilinear Cauchy problems. Zbl 1447.34002
Magal, Pierre; Ruan, Shigui
34
2018
Bifurcations in a discrete predator-prey model with nonmonotonic functional response. Zbl 1392.92077
Huang, Jicai; Liu, Sanhong; Ruan, Shigui; Xiao, Dongmei
17
2018
Traveling wave solutions in a two-group SIR epidemic model with constant recruitment. Zbl 1406.35445
Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui
15
2018
Traveling wave solutions for time periodic reaction-diffusion systems. Zbl 1397.35057
Bo, Wei-Jian; Lin, Guo; Ruan, Shigui
10
2018
Spatial and temporal dynamics of a nonlocal viral infection model. Zbl 1410.35261
Zhao, Guangyu; Ruan, Shigui
10
2018
Fast propagation for reaction-diffusion cooperative systems. Zbl 1388.35106
Xu, Wen-Bing; Li, Wan-Tong; Ruan, Shigui
5
2018
Analysis of a dengue model with vertical transmission and application to the 2014 dengue outbreak in Guangdong Province, China. Zbl 1400.92569
Zou, Lan; Chen, Jing; Feng, Xiaomei; Ruan, Shigui
3
2018
On an advection-reaction-diffusion competition system with double free boundaries modeling invasion and competition of Aedes albopictus and Aedes aegypti mosquitoes. Zbl 1403.35308
Tian, Canrong; Ruan, Shigui
2
2018
Modeling and analysis of a nonlinear age-structured model for tumor cell populations with quiescence. Zbl 1403.35304
Liu, Zijian; Chen, Jing; Pang, Jianhua; Bi, Ping; Ruan, Shigui
2
2018
Traveling wave solutions in a two-group epidemic model with latent period. Zbl 1367.35192
Zhao, Lin; Wang, Zhi-Cheng; Ruan, Shigui
18
2017
Nonlinear dynamics of avian influenza epidemic models. Zbl 1398.92242
Liu, Sanhong; Ruan, Shigui; Zhang, Xinan
16
2017
On the existence of axisymmetric traveling fronts in Lotka-Volterra competition-diffusion systems in \(\mathbb{R}^3\). Zbl 1360.35097
Wang, Zhi-Cheng; Niu, Hui-Ling; Ruan, Shigui
11
2017
Global properties of vector-host disease models with time delays. Zbl 1403.92287
Cai, Li-Ming; Li, Xue-Zhi; Fang, Bin; Ruan, Shigui
10
2017
Modeling the transmission dynamics and control of rabies in China. Zbl 1366.92130
Ruan, Shigui
6
2017
A mathematical model for the seasonal transmission of schistosomiasis in the lake and marshland regions of China. Zbl 1382.37100
Li, Yingke; Teng, Zhidong; Ruan, Shigui; Li, Mingtao; Feng, Xiaomei
5
2017
Avian influenza A H7N9 virus has been established in China. Zbl 1397.92701
Zhang, Xinan; Zou, Lan; Chen, Jing; Fang, Yile; Huang, Jicai; Zhang, Jinhui; Liu, Sanhong; Feng, Guangting; Yang, Cuihong; Ruan, Shigui
4
2017
A free boundary problem for Aedes aegypti mosquito invasion. Zbl 1443.92035
Tian, Canrong; Ruan, Shigui
4
2017
On the distribution of zeros of a third-degree exponential polynomial with applications to delayed biological systems. Zbl 1399.30020
Ruan, Shigui; Wei, Junjie; Xiao, Dongmei
2
2017
Linear and weakly nonlinear stability analyses of Turing patterns for diffusive predator-prey systems in freshwater marsh landscapes. Zbl 1373.92115
Zhang, Li; Zhang, Fan; Ruan, Shigui
1
2017
Bifurcation of codimension 3 in a predator-prey system of Leslie type with simplified Holling type IV functional response. Zbl 1334.34099
Huang, Jicai; Xia, Xiaojing; Zhang, Xinan; Ruan, Shigui
17
2016
Existence, uniqueness and stability of pyramidal traveling fronts in reaction-diffusion systems. Zbl 1349.35198
Wang, ZhiCheng; Li, WanTong; Ruan, ShiGui
15
2016
Modeling and control of local outbreaks of West Nile virus in the United States. Zbl 1351.37272
Chen, Jing; Huang, Jicai; Beier, John C.; Cantrell, Robert Stephen; Cosner, Chris; Fuller, Douglas O.; Zhang, Guoyan; Ruan, Shigui
12
2016
Oscillations in age-structured models of consumer-resource mutualisms. Zbl 1330.35473
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
11
2016
Bogdanov-Takens bifurcation of codimension 3 in a predator-prey model with constant-yield predator harvesting. Zbl 1347.34060
Huang, Jicai; Liu, Sanhong; Ruan, Shigui; Zhang, Xinan
10
2016
Normal forms for an age structured model. Zbl 1350.35021
Chu, Jixun; Liu, Zhihua; Magal, Pierre; Ruan, Shigui
8
2016
Coinfection dynamics of two diseases in a single host population. Zbl 1357.92070
Gao, Daozhou; Porco, Travis C.; Ruan, Shigui
6
2016
Global dynamics of a delayed within-host viral infection model with both virus-to-cell and cell-to-cell transmissions. Zbl 1331.34160
Yang, Yu; Zou, Lan; Ruan, Shigui
56
2015
Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference. Zbl 1327.35376
Shi, Hong-Bo; Ruan, Shigui
38
2015
Analysis of three species Lotka-Volterra food web models with omnivory. Zbl 1333.92046
Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui
31
2015
Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function. Zbl 1330.35480
Yang, Yu; Ruan, Shigui; Xiao, Dongmei
23
2015
Stability and backward bifurcation in a malaria transmission model with applications to the control of malaria in China. Zbl 1356.92081
Feng, Xiaomei; Ruan, Shigui; Teng, Zhidong; Wang, Kai
20
2015
Global dynamics of avian influenza epidemic models with psychological effect. Zbl 1344.92172
Liu, Sanhong; Pang, Liuyong; Ruan, Shigui; Zhang, Xinan
20
2015
Entire solutions for nonlocal dispersal equations with spatio-temporal delay: monostable case. Zbl 1318.34107
Wu, Shi-Liang; Ruan, Shigui
19
2015
Transmission dynamics and optimal control of measles epidemics. Zbl 1338.92135
Pang, Liuyong; Ruan, Shigui; Liu, Sanhong; Zhao, Zhong; Zhang, Xinan
14
2015
Spatial dynamics of a lattice population model with two age classes and maturation delay. Zbl 1375.92059
Wu, Shi-Liang; Weng, Peixuan; Ruan, Shigui
8
2015
Spatiotemporal dynamics of a diffusive Leslie-Gower predator-prey model with ratio-dependent functional response. Zbl 1317.35268
Shi, Hong-Bo; Ruan, Shigui; Su, Ying; Zhang, Jia-Fang
8
2015
On the sexual transmission dynamics of hepatitis B virus in China. Zbl 1406.92650
Zou, Lan; Ruan, Shigui; Zhang, Weinian
5
2015
The decay rates of traveling waves and spectral analysis for a class of nonlocal evolution equations. Zbl 1338.35236
Zhao, G.; Ruan, S.
5
2015
Bifurcations in a predator-prey system of Leslie type with generalized Holling type III functional response. Zbl 1326.34082
Huang, Jicai; Ruan, Shigui; Song, Jing
75
2014
Traveling wave solutions for delayed reaction-diffusion systems and applications to diffusive Lotka-Volterra competition models with distributed delays. Zbl 1311.35052
Lin, Guo; Ruan, Shigui
37
2014
Time periodic traveling wave solutions for periodic advection-reaction-diffusion systems. Zbl 1304.35199
Zhao, Guangyu; Ruan, Shigui
33
2014
Normal forms for semilinear equations with non-dense domain with applications to age structured models. Zbl 1347.37125
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
17
2014
A periodic Ross-Macdonald model in a patchy environment. Zbl 1327.92059
Gao, Daozhou; Lou, Yijun; Ruan, Shigui
15
2014
Periodic and chaotic oscillations in a tumor and immune system interaction model with three delays. Zbl 1345.92073
Bi, Ping; Ruan, Shigui; Zhang, Xinan
15
2014
A modeling approach to investigate epizootic outbreaks and enzootic maintenance of rift valley fever virus. Zbl 1300.92093
Chamchod, Farida; Cantrell, Robert Stephen; Cosner, Chris; Hassan, Ali N.; Beier, John C.; Ruan, Shigui
5
2014
Susceptible-infectious-recovered models revisited: from the individual level to the population level. Zbl 1315.92081
Magal, Pierre; Ruan, Shigui
2
2014
Bifurcation analysis in a predator-prey model with constant-yield predator harvesting. Zbl 1417.34092
Huang, Jicai; Gong, Yijun; Ruan, Shigui
49
2013
Bifurcations in delay differential equations and applications to tumor and immune system interaction models. Zbl 1284.34118
Bi, Ping; Ruan, Shigui
25
2013
Bifurcations of invariant tori in predator-prey models with seasonal prey harvesting. Zbl 1294.34050
Chen, Jing; Huang, Jicai; Ruan, Shigui; Wang, Jihua
21
2013
Entire solutions in lattice delayed differential equations with nonlocal interaction: bistable cases. Zbl 1390.34219
Wang, Z.-C.; Li, W.-T.; Ruan, S.
15
2013
On the dynamics of two-consumers-one-resource competing systems with Beddington-DeAngelis functional response. Zbl 1371.37140
Hsu, Sze-Bi; Ruan, Shigui; Yang, Ting-Hui
11
2013
Modeling the spatial spread of rift valley fever in Egypt. Zbl 1273.92033
Gao, Daozhou; Cosner, Chris; Cantrell, Robert Stephen; Beier, John C.; Ruan, Shigui
9
2013
Single species models with logistic growth and dissymmetric impulse dispersal. Zbl 1402.92378
Zhang, Long; Teng, Zhidong; DeAngelis, Donald L.; Ruan, Shigui
7
2013
Global dynamics and bifurcations in a four-dimensional replicator system. Zbl 1262.34052
Wang, Yuanshi; Wu, Hong; Ruan, Shigui
4
2013
A multipatch malaria model with logistic growth populations. Zbl 1250.92029
Gao, Daozhou; Ruan, Shigui
38
2012
Analysis of SIR epidemic models with nonlinear incidence rate and treatment. Zbl 1250.92031
Hu, Zhixing; Ma, Wanbiao; Ruan, Shigui
35
2012
Modeling seasonal rabies epidemics in China. Zbl 1237.92056
Zhang, Juan; Jin, Zhen; Sun, Gui-Quan; Sun, Xiang-Dong; Ruan, Shigui
25
2012
Projectors on the generalized eigenspaces for partial differential equations with time delay. Zbl 1272.35118
Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui
10
2012
Stable periodic oscillations in a two-stage cancer model of tumor and immune system interactions. Zbl 1259.34028
Liu, Dan; Ruan, Shigui; Zhu, Deming
8
2012
A delay equation model for oviposition habitat selection by mosquitoes. Zbl 1253.35187
Gourley, Stephen A.; Ruan, Shigui
7
2012
Dynamics of rabies epidemics and the impact of control efforts in Guangdong province, China. Zbl 1397.92638
Hou, Qiang; Jin, Zhen; Ruan, Shigui
5
2012
Center-unstable manifolds for nondensely defined Cauchy problems and applications to stability of Hopf bifurcation. Zbl 1341.34062
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
5
2012
Spatial spread of rabies in China. Zbl 1304.92126
Zhang, Juan; Jin, Zhen; Sun, Guiquan; Sun, Xiangdong; Ruan, Shigui
5
2012
Periodic orbits near heteroclinic cycles in a cyclic replicator system. Zbl 1259.34039
Wang, Yuanshi; Wu, Hong; Ruan, Shigui
2
2012
Existence, uniqueness and asymptotic stability of time periodic traveling waves for a periodic Lotka-Volterra competition system with diffusion. Zbl 1227.35125
Zhao, Guangyu; Ruan, Shigui
55
2011
An SIS patch model with variable transmission coefficients. Zbl 1218.92064
Gao, Daozhou; Ruan, Shigui
45
2011
Hopf bifurcation for non-densely defined Cauchy problems. Zbl 1242.34112
Liu, Zhihua; Magal, Pierre; Ruan, Shigui
38
2011
Bifurcations of an SIRS epidemic model with nonlinear incidence rate. Zbl 1207.92040
Hu, Zhixing; Bi, Ping; Ma, Wanbiao; Ruan, Shigui
26
2011
Spreading speeds and traveling waves in competitive recursion systems. Zbl 1232.92072
Lin, Guo; Li, Wan-Tong; Ruan, Shigui
24
2011
The within-host dynamics of malaria infection with immune response. Zbl 1259.34027
Li, Yilong; Ruan, Shigui; Xiao, Dongmei
13
2011
Monostable wavefronts in cooperative Lotka-Volterra systems with nonlocal delays. Zbl 1222.35104
Lin, Guo; Li, Wan-Tong; Ruan, Shigui
13
2011
Periodicity and synchronization in blood-stage malaria infection. Zbl 1311.92182
Su, Ying; Ruan, Shigui; Wei, Junjie
10
2011
Attractors for non-autonomous parabolic problems with singular initial data. Zbl 1233.35043
Li, Xiaojun; Ruan, Shigui
3
2011
Nongeneric bifurcations near heterodimensional cycles with inclination flip in \(\mathbb{R}^4\). Zbl 1257.34026
Liu, Dan; Ruan, Shigui; Zhu, Deming
2
2011
Dynamics of a model of allelopathy and bacteriocin with a single mutation. Zbl 1209.34061
Zou, Lan; Chen, Xingwu; Ruan, Shigui; Zhang, Weinian
1
2011
Travelling wave solutions in multigroup age-structured epidemic models. Zbl 1181.92071
Ducrot, Arnaut; Magal, Pierre; Ruan, Shigui
44
2010
Modeling spatial spread of communicable disease involving animal hosts. Zbl 1183.92074
Ruan, Shigui; Wu, Jianhong
33
2010
Modeling the transmission dynamics and control of hepatitis B virus in China. Zbl 1403.92316
Zou, Lan; Zhang, Weinian; Ruan, Shigui
28
2010
An age-structured model for the transmission dynamics of hepatitis B. Zbl 1210.35269
Zou, Lan; Ruan, Shigui; Zhang, Weinian
21
2010
Versal unfoldings of predator-prey systems with ratio-dependent functional response. Zbl 1205.34038
Ruan, Shigui; Tang, Yilei; Zhang, Weinian
16
2010
Stability and bifurcation analysis in hematopoietic stem cell dynamics with multiple delays. Zbl 1209.37058
Qu, Ying; Wei, Junjie; Ruan, Shigui
12
2010
...and 99 more Documents
all top 5

Cited by 4,109 Authors

113 Ruan, Shigui
99 Wei, Junjie
94 Li, Wan-Tong
60 Teng, Zhi-dong
43 Wu, Shiliang
41 Song, Yongli
40 Lin, Guo
40 Xu, Rui
39 Yuan, Rong
39 Yuan, Sanling
38 Ma, Wanbiao
38 Wang, Zhi Cheng
36 Cao, Jinde
35 Wang, Wendi
34 Chen, Lansun
34 Jiang, Weihua
31 Magal, Pierre
31 Song, Xinyu
29 Li, Xuezhi
28 Elaiw, Ahmed M.
28 Liu, Shengqiang
28 Wang, Weiming
27 Jin, Zhen
27 Takeuchi, Yasuhiro
27 Wu, Jianhong
26 Banerjee, Malay
26 Huo, Hai-Feng
26 Zou, Xingfu
25 Huang, Lihong
25 Liu, Zhihua
25 Meng, Fanwei
25 Zhao, Xiao-Qiang
24 Cui, Jingan
23 Samanta, Guru Prasad
23 Shi, Junping
23 Xiao, Dongmei
23 Xu, Changjin
22 Pan, Shuxia
22 Wang, Lin
21 Chen, Yuming
21 Guo, Shangjiang
21 Kar, Tapan Kumar
21 Zhang, Tonghua
20 Adimy, Mostafa
20 Jiang, Daqing
20 Yu, Zhixian
19 Hsu, Cheng-Hsiung
19 Huang, Jicai
19 Sun, Guiquan
19 Wang, Xia
19 Weng, Peixuan
19 Yan, Xiangping
18 Chen, Shanshan
18 Ducrot, Arnaud
18 Han, Maoan
18 Wang, Yuanshi
17 Chattopadhyay, Joydev
17 Lin, Yiping
17 Zhu, Huaiping
16 Cai, Yongli
16 Dai, Binxiang
16 Gao, Daozhou
16 Li, Michael Yi
16 Liao, Xiaofeng
16 Trofimchuk, Sergei I.
16 Wang, Jinliang
16 Xu, Zhiting
16 Yang, Yu
16 Zhang, Chunrui
16 Zhang, Fengqin
15 Kumar Upadhyay, Ranjit
15 Niu, Ben
15 Pal, Samaresh
15 Zhang, Long
15 Zhang, Tailei
14 Bairagi, Nandadulal
14 Buonomo, Bruno
14 Cai, Liming
14 Dai, Yunxian
14 Fan, Yonghong
14 Kuniya, Toshikazu
14 Lou, Yijun
14 Nakata, Yukihiko
14 Tian, Canrong
14 Wang, Kaifa
14 Zhang, Weinian
14 Zhao, Hongyong
13 Fan, Dejun
13 Feng, Zhaosheng
13 Shu, Hongying
13 Volpert, Vitaly A.
13 Xiao, Yanni
13 Zhang, Guobao
13 Zhou, Xueyong
12 Chaplain, Mark A. J.
12 Crauste, Fabien
12 Martcheva, Maia
12 Nie, Linfei
12 Qiu, Zhipeng
12 Rong, Libin
...and 4,009 more Authors
all top 5

Cited in 266 Serials

234 Applied Mathematics and Computation
205 Nonlinear Analysis. Real World Applications
184 Journal of Mathematical Analysis and Applications
165 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
153 Chaos, Solitons and Fractals
145 Journal of Differential Equations
134 Discrete and Continuous Dynamical Systems. Series B
125 Nonlinear Dynamics
116 International Journal of Biomathematics
112 Mathematical Biosciences
104 Discrete Dynamics in Nature and Society
103 Abstract and Applied Analysis
101 Advances in Difference Equations
100 Mathematical Biosciences and Engineering
89 Journal of Mathematical Biology
82 Bulletin of Mathematical Biology
74 Applied Mathematical Modelling
63 Computers & Mathematics with Applications
63 Journal of Theoretical Biology
60 Communications in Nonlinear Science and Numerical Simulation
55 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
52 Journal of Biological Dynamics
49 Mathematical and Computer Modelling
48 Applied Mathematics Letters
48 Journal of Dynamics and Differential Equations
43 Mathematical Methods in the Applied Sciences
42 Journal of Biological Systems
41 Journal of Applied Mathematics and Computing
41 Journal of Applied Analysis and Computation
38 Journal of Computational and Applied Mathematics
32 Mathematical Modelling of Natural Phenomena
30 Journal of Nonlinear Science
30 Journal of Applied Mathematics
29 Communications on Pure and Applied Analysis
26 ZAMP. Zeitschrift für angewandte Mathematik und Physik
26 Complexity
26 Chaos
26 Computational & Mathematical Methods in Medicine
24 Physica D
23 Differential Equations and Dynamical Systems
22 Applicable Analysis
21 Computational and Applied Mathematics
20 Discrete and Continuous Dynamical Systems. Series S
19 International Journal of Applied and Computational Mathematics
18 Journal of the Franklin Institute
18 Mathematics and Computers in Simulation
17 Discrete and Continuous Dynamical Systems
17 Mathematical Problems in Engineering
14 Proceedings of the American Mathematical Society
14 Acta Applicandae Mathematicae
14 Journal of Difference Equations and Applications
13 Rocky Mountain Journal of Mathematics
13 Neural Networks
13 SIAM Journal on Applied Mathematics
12 Acta Mathematicae Applicatae Sinica. English Series
12 Nonlinear Analysis. Modelling and Control
12 Nonlinear Analysis. Hybrid Systems
11 Nonlinearity
11 Physica A
11 Journal of Mathematical Chemistry
11 SIAM Journal on Applied Dynamical Systems
10 Japan Journal of Industrial and Applied Mathematics
10 Journal of Dynamical and Control Systems
10 Science China. Mathematics
9 Ricerche di Matematica
9 Applied Mathematics and Mechanics. (English Edition)
9 Journal of Evolution Equations
9 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
9 Journal of Nonlinear Science and Applications
8 International Journal of Mathematics and Mathematical Sciences
8 The ANZIAM Journal
7 Automatica
7 International Journal of Computer Mathematics
7 SIAM Journal on Mathematical Analysis
7 Qualitative Theory of Dynamical Systems
6 Transactions of the American Mathematical Society
6 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
6 Applied Mathematics. Series B (English Edition)
6 Calculus of Variations and Partial Differential Equations
6 Electronic Journal of Differential Equations (EJDE)
6 Journal of the Egyptian Mathematical Society
6 Mathematical Population Studies
6 Acta Mathematica Sinica. English Series
5 Journal of Mathematical Physics
5 European Journal of Applied Mathematics
5 Taiwanese Journal of Mathematics
5 Journal of Inequalities and Applications
5 International Journal of Nonlinear Sciences and Numerical Simulation
5 Boundary Value Problems
5 International Journal of Differential Equations
4 Theoretical Population Biology
4 Applied Numerical Mathematics
4 MCSS. Mathematics of Control, Signals, and Systems
4 Applications of Mathematics
4 Dynamical Systems
4 Journal of Systems Science and Complexity
4 Journal of Mathematics
4 Electronic Research Archive
3 Biological Cybernetics
3 Journal of Engineering Mathematics
...and 166 more Serials
all top 5

Cited in 42 Fields

3,136 Biology and other natural sciences (92-XX)
2,149 Ordinary differential equations (34-XX)
1,074 Partial differential equations (35-XX)
701 Dynamical systems and ergodic theory (37-XX)
198 Systems theory; control (93-XX)
195 Numerical analysis (65-XX)
113 Probability theory and stochastic processes (60-XX)
113 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
105 Calculus of variations and optimal control; optimization (49-XX)
103 Difference and functional equations (39-XX)
89 Operator theory (47-XX)
78 Integral equations (45-XX)
44 Computer science (68-XX)
20 Real functions (26-XX)
18 Operations research, mathematical programming (90-XX)
16 Global analysis, analysis on manifolds (58-XX)
15 Mechanics of particles and systems (70-XX)
14 Statistics (62-XX)
11 Fluid mechanics (76-XX)
10 Functional analysis (46-XX)
10 Mechanics of deformable solids (74-XX)
9 Statistical mechanics, structure of matter (82-XX)
7 Combinatorics (05-XX)
6 Optics, electromagnetic theory (78-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 General and overarching topics; collections (00-XX)
4 Integral transforms, operational calculus (44-XX)
4 Geophysics (86-XX)
4 Information and communication theory, circuits (94-XX)
2 Mathematical logic and foundations (03-XX)
2 Linear and multilinear algebra; matrix theory (15-XX)
2 Topological groups, Lie groups (22-XX)
2 Approximations and expansions (41-XX)
2 Differential geometry (53-XX)
2 Algebraic topology (55-XX)
2 Manifolds and cell complexes (57-XX)
2 Quantum theory (81-XX)
2 Mathematics education (97-XX)
1 History and biography (01-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Convex and discrete geometry (52-XX)

Citations by Year