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Xiao, Dongmei

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 Author ID: xiao.dongmei Published as: Xiao, Dongmei; Xiao, D.; Xiao, Dong-Mei
 Documents Indexed: 111 Publications since 1988
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Co-Authors

 5 single-authored 14 Li, Wenxia 13 Ruan, Shigui 9 Han, Maoan 5 Xu, Zhaoquan 5 Zhou, Peng 4 Françoise, Jean-Pierre 4 Koltracht, Israel 4 Li, Yilong 4 Llibre, Jaume 4 Ma, Jiying 4 Yang, Yu 4 Zhao, Xiao-Qiang 3 Huang, Jicai 3 Neumann, Michael 3 Tang, Yilei 3 Wang, Jihua 3 Wu, Chufen 3 Yu, Jiang 2 Chen, Hebai 2 Deng, Lianwang 2 He, Lin 2 Khan, Abdul Qadeer 2 Liu, Changjian 2 Liu, Xiaoli 2 Magal, Pierre 2 Wang, Na 2 Wei, Junjie 2 Xiong, Yanqin 2 Zhang, Weinian 2 Zhang, Zhifen 2 Zhou, Yugui 1 Beier, John C. 1 Bi, Ping 1 Bossert, William H. 1 Cai, Linlin 1 Chen, Guoting 1 Dekking, Frederik Michel 1 Deng, Zongqi 1 Elsner, Ludwig F. 1 Feng, Beiye 1 Fumanelli, Laura 1 Gao, Bo 1 Gavrilov, Lubomir 1 Gohberg, Israel 1 Gui, Yongxin 1 Han, Xinli 1 He, Hongjin 1 Jennings, Leslie Stephen 1 Ji, Hongjun 1 Li, Baoyi 1 Liu, Lingling 1 Liu, Sanhong 1 Liu, Weishi 1 Liu, Zhihua 1 Lou, Yuan 1 Patrikeev, E. M. 1 Song, Caiqin 1 Tang, De 1 Teng, Zhi-dong 1 Wang, Ruiping 1 Wang, Zhaocai 1 Wei, Fengying 1 Xia, Yonghui 1 Xiang, Chuang 1 Xu, Shenglin 1 Yang, Junmin 1 Yi, Yingfei 1 Yu, Pei 1 Yu, Xiao 1 Yuan, Sanling 1 Zang, Hong 1 Zhang, Kate Fang 1 Zhang, Zhifeng 1 Zhu, Di 1 Zhu, Huaiping 1 Zhu, Zuonong
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Serials

 19 Journal of Differential Equations 7 Discrete and Continuous Dynamical Systems. Series B 5 Chaos, Solitons and Fractals 4 Journal of Mathematical Analysis and Applications 4 Journal of Central China Normal University. Natural Sciences 4 SIAM Journal on Applied Mathematics 4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 4 Mathematical Biosciences and Engineering 3 Journal of Dynamics and Differential Equations 3 Acta Mathematica Scientia. Series B. (English Edition) 2 Journal of Mathematical Biology 2 Linear and Multilinear Algebra 2 Mathematical Biosciences 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Nonlinearity 2 Bulletin of Mathematical Biology 2 Acta Mathematica Sinica 2 Applied Mathematics and Computation 2 Proceedings of the American Mathematical Society 2 SIAM Journal on Matrix Analysis and Applications 2 Bulletin des Sciences Mathématiques 2 Discrete and Continuous Dynamical Systems 2 Communications in Nonlinear Science and Numerical Simulation 1 Computer Methods in Applied Mechanics and Engineering 1 IMA Journal of Applied Mathematics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Mathematische Nachrichten 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Pacific Journal of Mathematics 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Transactions of the American Mathematical Society 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematicae Applicatae Sinica. English Series 1 Journal of Shanghai Jiaotong University (Chinese Edition) 1 Differential and Integral Equations 1 Automation and Remote Control 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Acta Mathematica Scientia 1 The Canadian Applied Mathematics Quarterly 1 Nonlinear Dynamics 1 Discrete Dynamics in Nature and Society 1 Qualitative Theory of Dynamical Systems 1 International Journal of Applied Mechanics and Engineering 1 Journal of Biological Dynamics 1 Journal of Nanjing University of Information Science and Technology. Natural Science Edition 1 Journal of Applied Analysis and Computation
all top 5

Fields

 69 Ordinary differential equations (34-XX) 61 Biology and other natural sciences (92-XX) 28 Dynamical systems and ergodic theory (37-XX) 20 Partial differential equations (35-XX) 7 Measure and integration (28-XX) 4 Integral equations (45-XX) 3 Algebraic geometry (14-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Operator theory (47-XX) 2 Numerical analysis (65-XX) 2 Computer science (68-XX) 1 Combinatorics (05-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Fluid mechanics (76-XX) 1 Operations research, mathematical programming (90-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX)

Citations contained in zbMATH Open

87 Publications have been cited 1,956 times in 1,476 Documents Cited by Year
Global analysis in a predator-prey system with nonmonotonic functional response. Zbl 0986.34045
Ruan, Shigui; Xiao, Dongmei
2001
Global analysis of an epidemic model with nonmonotone incidence rate. Zbl 1119.92042
Xiao, Dongmei; Ruan, Shigui
2007
Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031
Xiao, Dongmei; Ruan, Shigui
2001
Complex dynamic behaviors of a discrete-time predator-prey system. Zbl 1130.92056
Liu, Xiaoli; Xiao, Dongmei
2007
Bifurcations of a ratio-dependent predator-prey system with constant rate harvesting. Zbl 1094.34024
Xiao, Dongmei; Jennings, Leslie Stephen
2005
Dynamics in a ratio-dependent predator–prey model with predator harvesting. Zbl 1122.34035
Xiao, Dongmei; Li, Wenxia; Han, Maoan
2006
Stability of steady states and existence of travelling waves in a vector-disease model. Zbl 1065.35059
Ruan, Shigui; Xiao, Dongmei
2004
Bifurcations of a predator-prey system of Holling and Leslie types. Zbl 1156.34029
Li, Yilong; Xiao, Dongmei
2007
Bogdanov-Takens bifurcations in predator-prey systems with constant rate harvesting. Zbl 0917.34029
Xiao, Dongmei; Ruan, Shigui
1999
The diffusive logistic model with a free boundary in heterogeneous environment. Zbl 1316.35156
Zhou, Peng; Xiao, Dongmei
2014
On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040
Ruan, Shigui; Xiao, Dongmei; Beier, John C.
2008
Limit cycles for the competitive three dimensional Lotka-Volterra system. Zbl 0960.34022
Xiao, Dongmei; Li, Wenxia
2000
On the uniqueness and nonexistence of limit cycles for predator-prey systems. Zbl 1042.34060
Xiao, Dongmei; Zhang, Zhifeng
2003
Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment. Zbl 1322.35072
Zhou, Peng; Xiao, Dongmei; Lou, Yuan
2016
Relaxation oscillations in a class of predator-prey systems. Zbl 1094.34025
Liu, Weishi; Xiao, Dongmei; Yi, Yingfei
2003
Multiple focus and Hopf bifurcations in a predator-prey system with nonmonotonic functional response. Zbl 1109.34034
Xiao, Dongmei; Zhu, Huaiping
2006
Analyses of bifurcations and stability in a predator-prey system with Holling type-IV functional response. Zbl 1062.92070
Huang, Jicai; Xiao, Dongmei
2004
Global dynamics of a classical Lotka-Volterra competition-diffusion-advection system. Zbl 1390.35166
Zhou, Peng; Xiao, Dongmei
2018
On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems with one nilpotent saddle. Zbl 1217.34051
Wang, Jihua; Xiao, Dongmei
2011
The asymptotic speed of spread and traveling waves for a vector disease model. Zbl 1114.45001
Zhao, Xiao-Qiang; Xiao, Dongmei
2006
Codimension two bifurcations in a predator-prey system with group defense. Zbl 1091.92504
Xiao, Dongmei; Ruan, Shigui
2001
Multiparametric bifurcations of an epidemiological model with strong Allee effect. Zbl 1283.34049
Cai, Linlin; Chen, Guoting; Xiao, Dongmei
2013
Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function. Zbl 1330.35480
Yang, Yu; Ruan, Shigui; Xiao, Dongmei
2015
On Melnikov functions of a homoclinic loop through a nilpotent saddle for planar near-Hamiltonian systems. Zbl 1155.34026
Zang, Hong; Han, Maoan; Xiao, Dongmei
2008
Bifurcations on a five-parameter family of planar vector field. Zbl 1163.34024
Xiao, Dongmei
2008
Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle. Zbl 1258.34078
Han, Maoan; Yang, Junmin; Xiao, Dongmei
2012
Influence of latent period and nonlinear incidence rate on the dynamics of SIRS epidemiological models. Zbl 1187.34121
Yang, Yu; Xiao, Dongmei
2010
Bifurcations in a discrete predator-prey model with nonmonotonic functional response. Zbl 1392.92077
Huang, Jicai; Liu, Sanhong; Ruan, Shigui; Xiao, Dongmei
2018
Stability and bifurcation in a delayed ratio-dependent predator-prey system. Zbl 1041.92028
Xiao, Dongmei; Li, Wenxia
2003
Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action. Zbl 1195.92058
Zhou, Yugui; Xiao, Dongmei; Li, Yilong
2007
Global dynamics of a Lotka-Volterra model with two predators competing for one prey. Zbl 1303.37037
Llibre, Jaume; Xiao, Dongmei
2014
Four small limit cycles around a Hopf singular point in 3-dimensional competitive Lotka-Volterra systems. Zbl 1334.34072
Yu, Pei; Han, Maoan; Xiao, Dongmei
2016
Bifurcation of limit cycles and separatrix loops in singular Liénard systems. Zbl 1048.34082
Han, Maoan; Bi, Ping; Xiao, Dongmei
2004
Bifurcations in a discrete time Lotka-Volterra predator-prey system. Zbl 1100.37054
Liu, Xiaoli; Xiao, Dongmei
2006
The within-host dynamics of malaria infection with immune response. Zbl 1259.34027
Li, Yilong; Ruan, Shigui; Xiao, Dongmei
2011
On the existence and uniqueness of limit cycles for generalized Liénard systems. Zbl 1143.34020
Xiao, Dongmei; Zhang, Zhifen
2008
Bifurcations and chaotic dynamics in a 4-dimensional competitive Lotka-Volterra system. Zbl 1183.92086
Wang, Ruiping; Xiao, Dongmei
2010
Regular traveling waves for a nonlocal diffusion equation. Zbl 1323.35089
Xu, Zhaoquan; Xiao, Dongmei
2015
Spreading speeds and uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delays. Zbl 1439.35281
Xu, Zhaoquan; Xiao, Dongmei
2016
Spreading speeds of a partially degenerate reaction-diffusion system in a periodic habitat. Zbl 1317.35131
Wu, Chufen; Xiao, Dongmei; Zhao, Xiao-Qiang
2013
Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor. Zbl 1112.34062
Yuan, Sanling; Xiao, Dongmei; Han, Maoan
2006
Multiple bifurcations of a predator-prey system. Zbl 1142.34032
Xiao, Dongmei; Zhang, Kate Fang
2007
Minimal wave speed and uniqueness of traveling waves for a nonlocal diffusion population model with spatio-temporal delays. Zbl 1340.35155
Xu, Zhaoquan; Xiao, Dongmei
2014
On accurate computations of the Perron root. Zbl 0774.65016
Elsner, L.; Koltracht, I.; Neumann, M.; Xiao, D.
1993
The monotonicity of the ratio of two abelian integrals. Zbl 1283.34026
Liu, Changjian; Xiao, Dongmei
2013
Travelling wave solutions in a non-local and time-delayed reaction-diffusion model. Zbl 1282.35388
Wu, Chufen; Xiao, Dongmei
2013
A mathematical model with delays for schistosomiasis japonicum transmission. Zbl 1213.34103
Yang, Yu; Xiao, Dongmei
2010
On existence of multiple positive solutions for $$\phi$$-Laplacian multipoint boundary value. Zbl 1173.34315
Yang, Yu; Xiao, Dongmei
2009
Limit cycles bifurcating from a non-isolated zero-Hopf equilibrium of three-dimensional differential systems. Zbl 1305.37045
Llibre, Jaume; Xiao, Dongmei
2014
Perturbation theory of a symmetric center within Liénard equations. Zbl 1387.34088
Françoise, Jean-Pierre; Xiao, Dongmei
2015
The exact bounds on the number of zeros of complete hyperelliptic integrals of the first kind. Zbl 1270.34058
Wang, Na; Wang, Jihua; Xiao, Dongmei
2013
Bogdanov-Takens bifurcation in a predator-prey model. Zbl 1358.35205
Liu, Zhihua; Magal, Pierre; Xiao, Dongmei
2016
Dynamics and bifurcations on a class of population model with seasonal constant-yield harvesting. Zbl 1331.34101
Xiao, Dongmei
2016
Errata to “The asymptotic speed of spread and traveling waves for a vector disease model”. Zbl 1168.45302
Zhao, Xiao-Qiang; Xiao, Dongmei
2008
Qualitative analysis of an epidemic model. Zbl 1134.92032
Xiao, Dongmei; Zhou, Yugui
2006
Persistence and average persistence of a nonautonomous Kolmogorov system. Zbl 1154.92039
Han, Xinli; Teng, Zhidong; Xiao, Dongmei
2006
Intersection of translations of Cantor triadic set. Zbl 0930.28007
Li, Wenxia; Xiao, Dongmei
1999
DNA ternary addition. Zbl 1113.68053
Li, Wenxia; Xiao, Dongmei; He, Lin
2006
Asymptotic pattern of a migratory and nonmonotone population model. Zbl 1304.35082
Wu, Chufen; Xiao, Dongmei; Zhao, Xiao-Qiang
2014
Generation of heteroclinic cycles from a heteroclinic cycle by bifurcation. Zbl 0782.34043
Feng, Beiye; Xiao, Dongmei
1992
On a question of Boyle and Handelman concerning eigenvalues of nonnegative matrices. Zbl 0802.15009
Koltracht, I.; Neumann, M.; Xiao, D.
1993
A DNA procedure for solving the shortest path problem. Zbl 1112.90090
Wang, Zhaocai; Xiao, Dongmei; Li, Wenxia; He, Lin
2006
An intra-host mathematical model on interaction between HIV and malaria. Zbl 1202.92053
Xiao, Dongmei; Bossert, William H.
2010
Limit cycle bifurcations by perturbing a quadratic integrable system with a triangle. Zbl 1339.34052
Xiong, Yanqin; Han, Maoan; Xiao, Dongmei
2016
The monotonicity of the ratio of hyperelliptic integrals. Zbl 1316.34032
Wang, Na; Xiao, Dongmei; Yu, Jiang
2014
Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation. Zbl 07257354
Song, Cai-Qin; Xiao, Dong-Mei; Zhu, Zuo-Nong
2017
Non-differentiability of devil’s staircases and dimensions of subsets of Moran sets. Zbl 1014.28004
Li, Wenxia; Xiao, Dongmei; Dekking, F. M.
2002
Dimensions of subsets of a class of Cantor-type sets. Zbl 1008.28009
Li, Wenxia; Xiao, Dongmei
2000
Uniqueness of epidemic waves in a host-vector disease model. Zbl 1393.35108
Xu, Zhaoquan; Xiao, Dongmei
2018
The number of zeros of abelian integrals for a perturbation of hyperelliptic Hamiltonian system with degenerated polycycle. Zbl 1270.34057
Wang, Jihua; Xiao, Dongmei; Han, Maoan
2013
Nonlinear dynamics of a mathematical model on action potential duration and calcium transient in paced cardiac cells. Zbl 1305.92030
Ma, Jiying; Xiao, Dongmei
2013
Periodic solutions for a predator-prey model with periodic harvesting rate. Zbl 1300.34117
Tang, Yilei; Xiao, Dongmei
2014
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
2017
Global dynamics of a piecewise smooth system for brain lactate metabolism. Zbl 1416.34038
Françoise, J.-P.; Ji, Hongjun; Xiao, Dongmei; Yu, Jiang
2019
Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response. Zbl 1440.34052
Xiang, Chuang; Huang, Jicai; Ruan, Shigui; Xiao, Dongmei
2020
Global dynamics and bifurcation analysis of a host-parasitoid model with strong Allee effect. Zbl 1448.92377
Khan, Abdul Qadeer; Ma, Jiying; Xiao, Dongmei
2017
Bifurcations of a two-dimensional discrete time plant-herbivore system. Zbl 07249760
Khan, Abdul Qadeer; Ma, Jiying; Xiao, Dongmei
2016
Condition and accuracy of algorithms for computing Schur coefficients of Toeplitz matrices. Zbl 0807.65042
Gohberg, I.; Koltracht, I.; Xiao, D.
1994
Corrections: On a question of Boyle and Handelman concerning eigenvalues of nonnegative matrices. Zbl 0847.15008
Koltracht, I.; Neumann, M.; Xiao, D.
1995
Bifurcations of a class of nongeneric quadratic Hamiltonian systems under quadratic perturbations. Zbl 0855.34048
Li, Baoyi; Xiao, Dongmei; Zhang, Zhifen
1996
Hopf bifurcation in a diffusive predator-prey model with group defence. Zbl 0986.92038
Ruan, Shigui; Wei, Junjie; Xiao, Dongmei
1998
Dynamics of epidemic models with asymptomatic infection and seasonal succession. Zbl 1365.92135
Tang, Yilei; Xiao, Dongmei; Zhang, Weinian; Zhu, Di
2017
Dynamics, integrability and topology for some classes of Kolmogorov Hamiltonian systems in $$\mathbb{R}_+^4$$. Zbl 1354.37061
Llibre, Jaume; Xiao, Dongmei
2017
Identification of focus and center in a 3-dimensional system. Zbl 1287.34023
Liu, Lingling; Gao, Bo; Xiao, Dongmei; Zhang, Weinian
2014
Dichotomous solutions for semilinear ill-posed equations with sectorially dichotomous operator. Zbl 07055541
Deng, Lianwang; Xiao, Dongmei
2019
Global dynamics of an asymmetry piecewise linear differential system: theory and applications. Zbl 1437.34036
Chen, Hebai; Wei, Fengying; Xia, Yong-Hui; Xiao, Dongmei
2020
The smallest upper bound on the number of zeros of abelian integrals. Zbl 1464.34057
Liu, Changjian; Xiao, Dongmei
2020
Bifurcation analysis in a host-generalist parasitoid model with Holling II functional response. Zbl 1440.34052
Xiang, Chuang; Huang, Jicai; Ruan, Shigui; Xiao, Dongmei
2020
Global dynamics of an asymmetry piecewise linear differential system: theory and applications. Zbl 1437.34036
Chen, Hebai; Wei, Fengying; Xia, Yong-Hui; Xiao, Dongmei
2020
The smallest upper bound on the number of zeros of abelian integrals. Zbl 1464.34057
Liu, Changjian; Xiao, Dongmei
2020
Global dynamics of a piecewise smooth system for brain lactate metabolism. Zbl 1416.34038
Françoise, J.-P.; Ji, Hongjun; Xiao, Dongmei; Yu, Jiang
2019
Dichotomous solutions for semilinear ill-posed equations with sectorially dichotomous operator. Zbl 07055541
Deng, Lianwang; Xiao, Dongmei
2019
Global dynamics of a classical Lotka-Volterra competition-diffusion-advection system. Zbl 1390.35166
Zhou, Peng; Xiao, Dongmei
2018
Bifurcations in a discrete predator-prey model with nonmonotonic functional response. Zbl 1392.92077
Huang, Jicai; Liu, Sanhong; Ruan, Shigui; Xiao, Dongmei
2018
Uniqueness of epidemic waves in a host-vector disease model. Zbl 1393.35108
Xu, Zhaoquan; Xiao, Dongmei
2018
Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation. Zbl 07257354
Song, Cai-Qin; Xiao, Dong-Mei; Zhu, Zuo-Nong
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
2017
Global dynamics and bifurcation analysis of a host-parasitoid model with strong Allee effect. Zbl 1448.92377
Khan, Abdul Qadeer; Ma, Jiying; Xiao, Dongmei
2017
Dynamics of epidemic models with asymptomatic infection and seasonal succession. Zbl 1365.92135
Tang, Yilei; Xiao, Dongmei; Zhang, Weinian; Zhu, Di
2017
Dynamics, integrability and topology for some classes of Kolmogorov Hamiltonian systems in $$\mathbb{R}_+^4$$. Zbl 1354.37061
Llibre, Jaume; Xiao, Dongmei
2017
Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment. Zbl 1322.35072
Zhou, Peng; Xiao, Dongmei; Lou, Yuan
2016
Four small limit cycles around a Hopf singular point in 3-dimensional competitive Lotka-Volterra systems. Zbl 1334.34072
Yu, Pei; Han, Maoan; Xiao, Dongmei
2016
Spreading speeds and uniqueness of traveling waves for a reaction diffusion equation with spatio-temporal delays. Zbl 1439.35281
Xu, Zhaoquan; Xiao, Dongmei
2016
Bogdanov-Takens bifurcation in a predator-prey model. Zbl 1358.35205
Liu, Zhihua; Magal, Pierre; Xiao, Dongmei
2016
Dynamics and bifurcations on a class of population model with seasonal constant-yield harvesting. Zbl 1331.34101
Xiao, Dongmei
2016
Limit cycle bifurcations by perturbing a quadratic integrable system with a triangle. Zbl 1339.34052
Xiong, Yanqin; Han, Maoan; Xiao, Dongmei
2016
Bifurcations of a two-dimensional discrete time plant-herbivore system. Zbl 07249760
Khan, Abdul Qadeer; Ma, Jiying; Xiao, Dongmei
2016
Global stability of an age-structured virus dynamics model with Beddington-DeAngelis infection function. Zbl 1330.35480
Yang, Yu; Ruan, Shigui; Xiao, Dongmei
2015
Regular traveling waves for a nonlocal diffusion equation. Zbl 1323.35089
Xu, Zhaoquan; Xiao, Dongmei
2015
Perturbation theory of a symmetric center within Liénard equations. Zbl 1387.34088
Françoise, Jean-Pierre; Xiao, Dongmei
2015
The diffusive logistic model with a free boundary in heterogeneous environment. Zbl 1316.35156
Zhou, Peng; Xiao, Dongmei
2014
Global dynamics of a Lotka-Volterra model with two predators competing for one prey. Zbl 1303.37037
Llibre, Jaume; Xiao, Dongmei
2014
Minimal wave speed and uniqueness of traveling waves for a nonlocal diffusion population model with spatio-temporal delays. Zbl 1340.35155
Xu, Zhaoquan; Xiao, Dongmei
2014
Limit cycles bifurcating from a non-isolated zero-Hopf equilibrium of three-dimensional differential systems. Zbl 1305.37045
Llibre, Jaume; Xiao, Dongmei
2014
Asymptotic pattern of a migratory and nonmonotone population model. Zbl 1304.35082
Wu, Chufen; Xiao, Dongmei; Zhao, Xiao-Qiang
2014
The monotonicity of the ratio of hyperelliptic integrals. Zbl 1316.34032
Wang, Na; Xiao, Dongmei; Yu, Jiang
2014
Periodic solutions for a predator-prey model with periodic harvesting rate. Zbl 1300.34117
Tang, Yilei; Xiao, Dongmei
2014
Identification of focus and center in a 3-dimensional system. Zbl 1287.34023
Liu, Lingling; Gao, Bo; Xiao, Dongmei; Zhang, Weinian
2014
Multiparametric bifurcations of an epidemiological model with strong Allee effect. Zbl 1283.34049
Cai, Linlin; Chen, Guoting; Xiao, Dongmei
2013
Spreading speeds of a partially degenerate reaction-diffusion system in a periodic habitat. Zbl 1317.35131
Wu, Chufen; Xiao, Dongmei; Zhao, Xiao-Qiang
2013
The monotonicity of the ratio of two abelian integrals. Zbl 1283.34026
Liu, Changjian; Xiao, Dongmei
2013
Travelling wave solutions in a non-local and time-delayed reaction-diffusion model. Zbl 1282.35388
Wu, Chufen; Xiao, Dongmei
2013
The exact bounds on the number of zeros of complete hyperelliptic integrals of the first kind. Zbl 1270.34058
Wang, Na; Wang, Jihua; Xiao, Dongmei
2013
The number of zeros of abelian integrals for a perturbation of hyperelliptic Hamiltonian system with degenerated polycycle. Zbl 1270.34057
Wang, Jihua; Xiao, Dongmei; Han, Maoan
2013
Nonlinear dynamics of a mathematical model on action potential duration and calcium transient in paced cardiac cells. Zbl 1305.92030
Ma, Jiying; Xiao, Dongmei
2013
Limit cycle bifurcations near a double homoclinic loop with a nilpotent saddle. Zbl 1258.34078
Han, Maoan; Yang, Junmin; Xiao, Dongmei
2012
On the number of limit cycles in small perturbations of a class of hyper-elliptic Hamiltonian systems with one nilpotent saddle. Zbl 1217.34051
Wang, Jihua; Xiao, Dongmei
2011
The within-host dynamics of malaria infection with immune response. Zbl 1259.34027
Li, Yilong; Ruan, Shigui; Xiao, Dongmei
2011
Influence of latent period and nonlinear incidence rate on the dynamics of SIRS epidemiological models. Zbl 1187.34121
Yang, Yu; Xiao, Dongmei
2010
Bifurcations and chaotic dynamics in a 4-dimensional competitive Lotka-Volterra system. Zbl 1183.92086
Wang, Ruiping; Xiao, Dongmei
2010
A mathematical model with delays for schistosomiasis japonicum transmission. Zbl 1213.34103
Yang, Yu; Xiao, Dongmei
2010
An intra-host mathematical model on interaction between HIV and malaria. Zbl 1202.92053
Xiao, Dongmei; Bossert, William H.
2010
On existence of multiple positive solutions for $$\phi$$-Laplacian multipoint boundary value. Zbl 1173.34315
Yang, Yu; Xiao, Dongmei
2009
On the delayed Ross-Macdonald model for malaria transmission. Zbl 1142.92040
Ruan, Shigui; Xiao, Dongmei; Beier, John C.
2008
On Melnikov functions of a homoclinic loop through a nilpotent saddle for planar near-Hamiltonian systems. Zbl 1155.34026
Zang, Hong; Han, Maoan; Xiao, Dongmei
2008
Bifurcations on a five-parameter family of planar vector field. Zbl 1163.34024
Xiao, Dongmei
2008
On the existence and uniqueness of limit cycles for generalized Liénard systems. Zbl 1143.34020
Xiao, Dongmei; Zhang, Zhifen
2008
Errata to “The asymptotic speed of spread and traveling waves for a vector disease model”. Zbl 1168.45302
Zhao, Xiao-Qiang; Xiao, Dongmei
2008
Global analysis of an epidemic model with nonmonotone incidence rate. Zbl 1119.92042
Xiao, Dongmei; Ruan, Shigui
2007
Complex dynamic behaviors of a discrete-time predator-prey system. Zbl 1130.92056
Liu, Xiaoli; Xiao, Dongmei
2007
Bifurcations of a predator-prey system of Holling and Leslie types. Zbl 1156.34029
Li, Yilong; Xiao, Dongmei
2007
Bifurcations of an epidemic model with non-monotonic incidence rate of saturated mass action. Zbl 1195.92058
Zhou, Yugui; Xiao, Dongmei; Li, Yilong
2007
Multiple bifurcations of a predator-prey system. Zbl 1142.34032
Xiao, Dongmei; Zhang, Kate Fang
2007
Dynamics in a ratio-dependent predator–prey model with predator harvesting. Zbl 1122.34035
Xiao, Dongmei; Li, Wenxia; Han, Maoan
2006
Multiple focus and Hopf bifurcations in a predator-prey system with nonmonotonic functional response. Zbl 1109.34034
Xiao, Dongmei; Zhu, Huaiping
2006
The asymptotic speed of spread and traveling waves for a vector disease model. Zbl 1114.45001
Zhao, Xiao-Qiang; Xiao, Dongmei
2006
Bifurcations in a discrete time Lotka-Volterra predator-prey system. Zbl 1100.37054
Liu, Xiaoli; Xiao, Dongmei
2006
Competition between plasmid-bearing and plasmid-free organisms in a chemostat with nutrient recycling and an inhibitor. Zbl 1112.34062
Yuan, Sanling; Xiao, Dongmei; Han, Maoan
2006
Qualitative analysis of an epidemic model. Zbl 1134.92032
Xiao, Dongmei; Zhou, Yugui
2006
Persistence and average persistence of a nonautonomous Kolmogorov system. Zbl 1154.92039
Han, Xinli; Teng, Zhidong; Xiao, Dongmei
2006
DNA ternary addition. Zbl 1113.68053
Li, Wenxia; Xiao, Dongmei; He, Lin
2006
A DNA procedure for solving the shortest path problem. Zbl 1112.90090
Wang, Zhaocai; Xiao, Dongmei; Li, Wenxia; He, Lin
2006
Bifurcations of a ratio-dependent predator-prey system with constant rate harvesting. Zbl 1094.34024
Xiao, Dongmei; Jennings, Leslie Stephen
2005
Stability of steady states and existence of travelling waves in a vector-disease model. Zbl 1065.35059
Ruan, Shigui; Xiao, Dongmei
2004
Analyses of bifurcations and stability in a predator-prey system with Holling type-IV functional response. Zbl 1062.92070
Huang, Jicai; Xiao, Dongmei
2004
Bifurcation of limit cycles and separatrix loops in singular Liénard systems. Zbl 1048.34082
Han, Maoan; Bi, Ping; Xiao, Dongmei
2004
On the uniqueness and nonexistence of limit cycles for predator-prey systems. Zbl 1042.34060
Xiao, Dongmei; Zhang, Zhifeng
2003
Relaxation oscillations in a class of predator-prey systems. Zbl 1094.34025
Liu, Weishi; Xiao, Dongmei; Yi, Yingfei
2003
Stability and bifurcation in a delayed ratio-dependent predator-prey system. Zbl 1041.92028
Xiao, Dongmei; Li, Wenxia
2003
Non-differentiability of devil’s staircases and dimensions of subsets of Moran sets. Zbl 1014.28004
Li, Wenxia; Xiao, Dongmei; Dekking, F. M.
2002
Global analysis in a predator-prey system with nonmonotonic functional response. Zbl 0986.34045
Ruan, Shigui; Xiao, Dongmei
2001
Global dynamics of a ratio-dependent predator-prey system. Zbl 1007.34031
Xiao, Dongmei; Ruan, Shigui
2001
Codimension two bifurcations in a predator-prey system with group defense. Zbl 1091.92504
Xiao, Dongmei; Ruan, Shigui
2001
Limit cycles for the competitive three dimensional Lotka-Volterra system. Zbl 0960.34022
Xiao, Dongmei; Li, Wenxia
2000
Dimensions of subsets of a class of Cantor-type sets. Zbl 1008.28009
Li, Wenxia; Xiao, Dongmei
2000
Bogdanov-Takens bifurcations in predator-prey systems with constant rate harvesting. Zbl 0917.34029
Xiao, Dongmei; Ruan, Shigui
1999
Intersection of translations of Cantor triadic set. Zbl 0930.28007
Li, Wenxia; Xiao, Dongmei
1999
Hopf bifurcation in a diffusive predator-prey model with group defence. Zbl 0986.92038
Ruan, Shigui; Wei, Junjie; Xiao, Dongmei
1998
Bifurcations of a class of nongeneric quadratic Hamiltonian systems under quadratic perturbations. Zbl 0855.34048
Li, Baoyi; Xiao, Dongmei; Zhang, Zhifen
1996
Corrections: On a question of Boyle and Handelman concerning eigenvalues of nonnegative matrices. Zbl 0847.15008
Koltracht, I.; Neumann, M.; Xiao, D.
1995
Condition and accuracy of algorithms for computing Schur coefficients of Toeplitz matrices. Zbl 0807.65042
Gohberg, I.; Koltracht, I.; Xiao, D.
1994
On accurate computations of the Perron root. Zbl 0774.65016
Elsner, L.; Koltracht, I.; Neumann, M.; Xiao, D.
1993
On a question of Boyle and Handelman concerning eigenvalues of nonnegative matrices. Zbl 0802.15009
Koltracht, I.; Neumann, M.; Xiao, D.
1993
Generation of heteroclinic cycles from a heteroclinic cycle by bifurcation. Zbl 0782.34043
Feng, Beiye; Xiao, Dongmei
1992
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Cited by 1,889 Authors

 41 Xiao, Dongmei 31 Ruan, Shigui 28 Han, Maoan 28 Li, Wan-Tong 18 Wang, Weiming 16 Huang, Jicai 16 Sun, Xianbo 16 Teng, Zhi-dong 15 Jiang, Jifa 15 Zhao, Xiao-Qiang 13 Kar, Tapan Kumar 13 Samanta, Guru Prasad 13 Song, Yongli 13 Wang, Wendi 13 Yu, Pei 13 Yuan, Rong 13 Yuan, Sanling 12 Chen, Lansun 12 González-Olivares, Eduardo 12 Jin, Zhen 11 Banerjee, Malay 11 Fan, Yonghong 11 Huo, Hai-Feng 11 Llibre, Jaume 11 Niu, Lei 11 Wu, Jianhua 10 Baek, Hunki 10 Bairagi, Nandadulal 10 Chen, Boshan 10 Din, Qamar 10 Jiang, Daqing 10 Shi, Junping 10 Wei, Junjie 10 Weng, Peixuan 10 Wu, Chufen 9 Cai, Yongli 9 Jiang, Weihua 9 Nie, Hua 9 Rojas-Palma, Alejandro 9 Wang, Mingxin 9 Wang, Zhi Cheng 9 Xu, Zhaoquan 9 Yan, Ping 9 Yang, Junmin 8 Asheghi, Rasoul 8 Ding, Xiaoquan 8 Gyllenberg, Mats 8 Liu, Zhihua 8 Maiti, Alakes 8 Tang, De 8 Wang, Linlin 8 Xia, Yonghui 8 Zhang, Qingling 8 Zhao, Liqin 8 Zhou, Peng 7 Chen, Hebai 7 Chen, Yuming 7 Guin, Lakshmi Narayan 7 Guo, Shangjiang 7 Huang, Lihong 7 Liu, Changjian 7 Liu, Shengqiang 7 Sun, Guiquan 7 Tang, Yilei 7 Tian, Yanling 7 Xu, Rui 7 Yang, Yu 7 Zhang, Tonghua 7 Zhang, Xue 7 Zhao, Min 7 Zou, Xingfu 6 Bakhshalizadeh, Ali 6 Buonomo, Bruno 6 Cai, Liming 6 Cao, Jinde 6 Dai, Binxiang 6 d’Onofrio, Alberto 6 Elsadany, Abdelalim A. 6 Feng, Zhaosheng 6 He, Zhimin 6 Hu, Zengyun 6 Kang, Yun 6 Kazemi, Rasool 6 Li, Xuezhi 6 Lin, Zhigui 6 Liu, Sanyang 6 Rao, Feng 6 Ren, Jingli 6 Tripathi, Jai Prakash 6 Wang, Kaifa 6 Wang, Lin 6 Wei, Chunjin 6 Xiao, Yanni 6 Xu, Zhiting 6 Zhang, Huayong 6 Zhang, Long 6 Zhang, Weinian 6 Zhang, Xinan 6 Zhu, Huaiping 5 Abbas, Syed ...and 1,789 more Authors
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Cited in 160 Serials

 86 Applied Mathematics and Computation 86 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 82 Nonlinear Analysis. Real World Applications 69 Journal of Mathematical Analysis and Applications 66 Journal of Differential Equations 65 Chaos, Solitons and Fractals 61 Discrete and Continuous Dynamical Systems. Series B 54 Discrete Dynamics in Nature and Society 52 Advances in Difference Equations 51 Nonlinear Dynamics 49 International Journal of Biomathematics 34 Abstract and Applied Analysis 30 Journal of Mathematical Biology 29 Mathematical Biosciences and Engineering 27 Computers & Mathematics with Applications 27 Applied Mathematical Modelling 26 Mathematical Biosciences 19 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 18 Journal of Dynamics and Differential Equations 18 Journal of Applied Analysis and Computation 17 Qualitative Theory of Dynamical Systems 16 Mathematical Methods in the Applied Sciences 16 Communications in Nonlinear Science and Numerical Simulation 16 Journal of Biological Dynamics 15 Bulletin of Mathematical Biology 15 Journal of Biological Systems 15 Journal of Theoretical Biology 13 Applied Mathematics Letters 13 Journal of Applied Mathematics and Computing 12 Acta Applicandae Mathematicae 12 Mathematical Problems in Engineering 11 Complexity 10 Journal of the Franklin Institute 10 Journal of Computational and Applied Mathematics 10 Journal of Nonlinear Science 9 Proceedings of the American Mathematical Society 9 Communications on Pure and Applied Analysis 8 Mathematics and Computers in Simulation 8 Journal of Difference Equations and Applications 8 Discrete and Continuous Dynamical Systems 8 Differential Equations and Dynamical Systems 8 Chaos 8 Discrete and Continuous Dynamical Systems. Series S 7 ZAMP. Zeitschrift für angewandte Mathematik und Physik 7 Acta Mathematicae Applicatae Sinica. English Series 7 Mathematical and Computer Modelling 7 Computational and Applied Mathematics 6 Applicable Analysis 6 Nonlinearity 6 Calculus of Variations and Partial Differential Equations 6 Journal of Dynamical and Control Systems 6 Journal of Applied Mathematics 6 Mathematical Modelling of Natural Phenomena 5 Bulletin des Sciences Mathématiques 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Journal of Mathematics 4 Physica A 4 Journal of Functional Analysis 4 Transactions of the American Mathematical Society 4 Physica D 4 Nonlinear Analysis. Modelling and Control 4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 4 SIAM Journal on Applied Dynamical Systems 4 Boundary Value Problems 4 Computational & Mathematical Methods in Medicine 4 International Journal of Applied and Computational Mathematics 3 Theoretical Population Biology 3 SIAM Journal on Applied Mathematics 3 SIAM Journal on Mathematical Analysis 3 Acta Mathematica Sinica. English Series 3 Dynamical Systems 3 Nonlinear Analysis. Hybrid Systems 2 Rocky Mountain Journal of Mathematics 2 International Journal of Mathematics and Mathematical Sciences 2 Rendiconti del Circolo Matemàtico di Palermo. Serie II 2 Ricerche di Matematica 2 Studies in Applied Mathematics 2 Applied Mathematics and Mechanics. (English Edition) 2 Journal of Integral Equations and Applications 2 Japan Journal of Industrial and Applied Mathematics 2 Applications of Mathematics 2 Electronic Journal of Differential Equations (EJDE) 2 Journal of the Egyptian Mathematical Society 2 Random Operators and Stochastic Equations 2 Journal of Mathematical Chemistry 2 Mathematical Population Studies 2 Taiwanese Journal of Mathematics 2 Journal of Inequalities and Applications 2 Wuhan University Journal of Natural Sciences (WUJNS) 2 Natural Resource Modeling 2 The ANZIAM Journal 2 Mathematical Modelling and Analysis 2 Advances in Mathematical Physics 2 International Journal of Differential Equations 2 Science China. Mathematics 2 Journal of Function Spaces 2 Computational Methods for Differential Equations 2 Open Mathematics 1 International Journal of Modern Physics B 1 General Relativity and Gravitation ...and 60 more Serials
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Cited in 34 Fields

 1,160 Biology and other natural sciences (92-XX) 837 Ordinary differential equations (34-XX) 355 Partial differential equations (35-XX) 353 Dynamical systems and ergodic theory (37-XX) 77 Difference and functional equations (39-XX) 59 Systems theory; control (93-XX) 47 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 45 Numerical analysis (65-XX) 43 Probability theory and stochastic processes (60-XX) 29 Operator theory (47-XX) 24 Calculus of variations and optimal control; optimization (49-XX) 16 Integral equations (45-XX) 13 Mechanics of particles and systems (70-XX) 9 Operations research, mathematical programming (90-XX) 8 Real functions (26-XX) 6 Measure and integration (28-XX) 4 Algebraic geometry (14-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Computer science (68-XX) 4 Mechanics of deformable solids (74-XX) 3 Combinatorics (05-XX) 2 Functional analysis (46-XX) 2 Statistics (62-XX) 2 Fluid mechanics (76-XX) 2 Relativity and gravitational theory (83-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Integral transforms, operational calculus (44-XX) 1 Algebraic topology (55-XX) 1 Optics, electromagnetic theory (78-XX) 1 Astronomy and astrophysics (85-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)