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Journal of Biological Dynamics

Short Title: J. Biol. Dyn.
Publisher: Taylor & Francis, Abingdon, Oxfordshire
ISSN: 1751-3758; 1751-3766/e
Online: http://www.tandfonline.com/loi/tjbd20
Comments: This journal is available open access.
Documents Indexed: 518 Publications (since 2007)
References Indexed: 503 Publications with 16,788 References.
all top 5

Authors

18 Martcheva, Maia
16 Cushing, Jim M.
12 Ackleh, Azmy S.
10 Elaydi, Saber Nasr
9 Allen, Linda J. S.
9 Jang, Sophia R.-J.
8 Banks, Harvey Thomas
8 Huo, Hai-Feng
8 Yakubu, Abdul-Aziz
7 Lenhart, Suzanne M.
7 van den Driessche, Pauline
7 Xiang, Hong
6 Brauer, Fred
6 Henson, Shandelle M.
6 Li, Jia
6 Stadtländer, Christian T. K.-H.
6 Wang, Jin
5 Castillo-Chavez, Carlos
5 Chen, Yuming
5 Gyllenberg, Mats
5 Kuang, Yang
5 Livadiotis, George
5 Maxin, Daniel
5 Tuncer, Necibe
5 Wang, Xueying
4 Chattopadhyay, Joydev
4 De Leenheer, Patrick
4 Feng, Zhilan
4 Gautam, Raju
4 Hadeler, Karl-Peter
4 Hyman, James M.
4 Kang, Yun
4 Kwessi, Eddy A.
4 Li, Xuezhi
4 Lutscher, Frithjof
4 Rong, Libin
4 Ruan, Shigui
4 Sacker, Robert J.
4 Sega, Laurentiu
4 Song, Xinyu
4 Takeuchi, Yasuhiro
4 Thieme, Horst R.
4 Tien, Joseph H.
4 Webb, Glenn Francis
4 Yoshioka, Hidekazu
4 Zaman, Gul
3 Assas, Laila M. B.
3 Bai, Meng
3 Barfield, Michael
3 Bronnikova, T. V.
3 Cohen, Yosef
3 Cosner, Chris
3 Deng, Keng
3 Diekmann, Odo
3 Dong, Yueping
3 Eisenberg, Marisa C.
3 Elaiw, Ahmed M.
3 Gross, Louis J.
3 Gumel, Abba B.
3 Hayward, James L.
3 Hillen, Thomas
3 Holt, Robert D.
3 Hu, Shuhua
3 Ivanek, Renata
3 Kajiwara, Tsuyoshi
3 Khan, Tahir Saeed
3 Lahodny, Glenn E. jun.
3 Lou, Yuan
3 Makinde, Oluwole Daniel
3 Manore, Carrie A.
3 Mickens, Ronald Elbert
3 Pilyugin, Sergei S.
3 Salceanu, Paul Leonard
3 Sasaki, Toru
3 Schaffer, William Morris
3 Schreiber, Sebastian J.
3 Smith, Hal Leslie
3 Teng, Zhi-dong
3 Tian, Xiaohong
3 Wang, Jinliang
3 Wang, Xia
3 Xu, Rui
3 Xu, Shihe
3 Yang, Junyuan
3 Zou, Xingfu
2 Abdurahman, Xamxinur
2 Adachi-Yamada, Takashi
2 Ali, Qasim
2 Alshorman, Areej
2 Anguelov, Roumen
2 Arino, Julien
2 Ashrafur Rahman, S. M.
2 Baglama, James
2 Bai, Fan
2 Baigent, Stephen A.
2 Banks, John E.
2 Boczko, Erik M.
2 Breda, Dimitri
2 Cai, Liming
2 Cantrell, Robert Stephen
...and 864 more Authors

Publications by Year

Citations contained in zbMATH Open

298 Publications have been cited 1,604 times in 1,416 Documents Cited by Year
Pattern formation in prey-taxis systems. Zbl 1315.92064
Lee, J. M.; Hillen, T.; Lewis, M. A.
54
2009
Dynamics of a delay differential equation model of hepatitis B virus infection. Zbl 1140.92014
Gourley, Stephen A.; Kuang, Yang; Nagy, John D.
53
2008
The ideal free distribution as an evolutionarily stable strategy. Zbl 1122.92062
Cantrell, Robert Stephen; Cosner, Chris; Deangelis, Donald L.; Padron, Victor
43
2007
Population models with Allee effect: a new model. Zbl 1342.92166
Elaydi, Saber N.; Sacker, Robert J.
41
2010
Species decline and extinction: synergy of infectious disease and Allee effect? Zbl 1342.92206
Thieme, Horst R.; Dhirasakdanon, Thanate; Han, Zhun; Trevino, Roy
35
2009
Numerical integration of population models satisfying conservation laws: NSFD methods. Zbl 1284.92116
Mickens, Ronald E.
33
2007
On existence and uniqueness of the carrying simplex for competitive dynamical systems. Zbl 1152.92026
Hirsch, Morris W.
29
2008
Multiple mixed-type attractors in a competition model. Zbl 1284.92108
Cushing, J. M.; Henson, Shandelle M.; Blackburn, Chantel C.
28
2007
Stability of a Ricker-type competition model and the competitive exclusion principle. Zbl 1236.92070
Luís, Rafael; Elaydi, Saber; Oliveira, Henrique
25
2011
A model for ovine brucellosis incorporating direct and indirect transmission. Zbl 1315.92072
Aïnseba, Bedr’Eddine; Benosman, Chahrazed; Magal, Pierre
24
2010
Modelling HIV immune response and validation with clinical data. Zbl 1315.92050
Banks, H. T.; Davidian, M.; Hu, Shuhua; Kepler, Grace M.; Rosenberg, E. S.
23
2008
Prion dynamics with size dependency-strain phenomena. Zbl 1315.92039
Calvez, V.; Lenuzza, N.; Doumic, M.; Deslys, J.-P.; Mouthon, F.; Perthame, B.
22
2010
Bioeconomic harvesting of a prey-predator fishery. Zbl 1342.91026
Das, Tapasi; Mukherjee, R. N.; Chaudhuri, K. S.
21
2009
Dynamics of a mechanistically derived stoichiometric producer-grazer model. Zbl 1402.92372
Wang, Hao; Kuang, Yang; Loladze, Irakli
20
2008
Population collapse to extinction: the catastrophic combination of parasitism and Allee effect. Zbl 1315.92060
Hilker, Frank M.
19
2010
Two models of interfering predators in impulsive biological control. Zbl 1315.92066
Nundloll, S.; Mailleret, L.; Grognard, F.
19
2010
A non-autonomous multi-strain SIS epidemic model. Zbl 1342.92258
Martcheva, Maia
19
2009
The basic reproduction number in epidemic models with periodic demographics. Zbl 1342.92287
Wesley, Curtis L.; Allen, Linda J. S.
18
2009
Dynamics of a plant-herbivore model. Zbl 1140.92322
Kang, Yun; Armbruster, Dieter; Kuang, Yang
17
2008
Immune response to a malaria infection: Properties of a mathematical model. Zbl 1140.92013
De Leenheer, Patrick; Pilyugin, Sergei S.
17
2008
Robust permanence and impermanence for stochastic replicator dynamics. Zbl 1140.92025
Benaïm, Michel; Hofbauer, Josef; Sandholm, William H.
17
2008
Competition in a turbidostat for an inhibitory nutrient. Zbl 1140.92324
Li, Bingtuan
15
2008
Differential equations models for interacting wild and transgenic mosquito populations. Zbl 1165.34027
Li, Jia
15
2008
Campus drinking: An epidemiological model. Zbl 1154.92323
Manthey, J. L.; Aidoo, A. Y.; Ward, K. Y.
15
2008
Stochasticity in the adaptive dynamics of evolution: the bare bones. Zbl 1403.92180
Klebaner, Fima C.; Sagitov, Serik; Vatutin, Vladimir A.; Haccou, Patsy; Jagers, Peter
14
2011
Dynamics of an HIV-1 therapy model of fighting a virus with another virus. Zbl 1342.92095
Jiang, Xiamei; Yu, Pei; Yuan, Zhaohui; Zou, Xingfu
14
2009
Enhanced modelling of the glucose-insulin system and its applications in insulin therapies. Zbl 1155.92333
Wang, Haiyan; Li, Jiaxu; Kuang, Yang
13
2009
Derivation of stochastic partial differential equations for size- and age-structured populations. Zbl 1157.60331
Allen, Edward J.
13
2009
A mathematical model for the dynamics of malaria in mosquitoes feeding on a heterogeneous host population. Zbl 1154.92030
Chitnis, Nakul; Smith, Thomas; Steketee, Richard
13
2008
Dynamical analysis of a multi-strain model of HIV in the presence of anti-retroviral drugs. Zbl 1154.92033
Sharomi, O.; Gumel, A. B.
13
2008
Threshold dynamics of a delayed reaction diffusion equation subject to the Dirichlet condition. Zbl 1342.92214
Yi, Taishan; Chen, Yuming; Wu, Jianhong
13
2009
An SIS epidemiology game with two subpopulations. Zbl 1342.92277
Reluga, Timothy C.
13
2009
Multi-patch deterministic and stochastic models for wildlife diseases. Zbl 1140.92022
McCormack, Robert K.; Allen, Linda J. S.
12
2007
How flocculation can explain coexistence in the chemostat. Zbl 1140.92320
Haegeman, B.; Rapaport, A.
11
2008
Evolution of dispersal in closed advective environments. Zbl 1448.92378
Lam, King-Yeung; Lou, Yuan; Lutscher, Frithjof
11
2015
The dynamic nature of contact networks in infectious disease epidemiology. Zbl 1342.92225
Bansal, Shweta; Read, Jonathan; Pourbohloul, Babak; Meyers, Lauren Ancel
11
2010
Global dynamics of a staged-progression model with amelioration for infectious diseases. Zbl 1140.92020
Guo, Hongbin; Li, Michael Y.
10
2008
Optimal control applied to native-invasive population dynamics. Zbl 1284.92114
Kern, Daniel L.; Lenhart, Suzanne; Miller, Rachael; Yong, Jiongmin
10
2007
Competition of hospital-acquired and community-acquired methicillin-resistant Staphylococcus aureus strains in hospitals. Zbl 1315.92071
Webb, Glenn F.; Horn, Mary Ann; D’Agata, Erika M. C.; Moellering, Robert C. jun.; Ruan, Shigui
10
2010
A simple fitness proxy for structured populations with continuous traits, with case studies on the evolution of haplo-diploids and genetic dimorphisms. Zbl 1403.92182
Metz, J. A. J.; Leimar, Olof
10
2011
Mathematical analysis of an HIV latent infection model including both virus-to-cell infection and cell-to-cell transmission. Zbl 1447.92487
Wang, Xia; Tang, Sanyi; Song, Xinyu; Rong, Libin
10
2017
Flu epidemics: a two-strain flu model with a single vaccination. Zbl 1225.92028
Ashrafur Rahman, S. M.; Zou, Xingfu
10
2011
Backward bifurcations in simple vaccination/treatment models. Zbl 1225.92029
Brauer, Fred
10
2011
ODE, RDE and SDE models of cell cycle dynamics and clustering in yeast. Zbl 1342.92119
Boczko, Erik M.; Gedeon, Tomas; Stowers, Chris C.; Young, Todd R.
10
2010
Malaria model with periodic mosquito birth and death rates. Zbl 1342.92232
Dembele, Bassidy; Friedman, Avner; Yakubu, Abdul-Aziz
10
2009
Mathematical aspects of physiologically structured populations: The contributions of J. A. J. Metz. Zbl 1255.01017
Gyllenberg, Mats
9
2007
Dynamic reduction with applications to mathematical biology and other areas. Zbl 1284.39009
Sacker, Robert J.; von Bremen, Hubertus F.
9
2007
A stochastic SIR model with contact-tracing: large population limits and statistical inference. Zbl 1315.92075
Clémençon, Stéphan; Tran, Viet Chi; de Arazoza, Hector
9
2008
On the Neimark-Sacker bifurcation in a discrete predator-prey system. Zbl 1403.92247
Hone, A. N. W.; Irle, M. V.; Thurura, G. W.
9
2010
On the relationship between \(r\) and \(R_0\) and its role in the bifurcation of stable equilibria of Darwinian matrix models. Zbl 1403.92239
Cushing, J. M.
9
2011
A note on the nonautonomous delay Beverton-Holt model. Zbl 1345.92118
Kocic, V. L.
9
2010
Scale transition theory with special reference to species coexistence in a variable environment. Zbl 1342.92162
Chesson, Peter
9
2009
A sharp threshold for disease persistence in host metapopulations. Zbl 1284.92100
Dhirasakdanon, Thanate; Thieme, Horst R.; van den Driessche, Pauline
8
2007
A mathematical model for malaria involving differential susceptibility, exposedness and infectivity of human host. Zbl 1315.92076
Ducrot, A.; Sirima, S. B.; Somé, B.; Zongo, P.
8
2009
A multi-scale model of erythropoiesis. Zbl 1315.92018
Demin, I.; Crauste, F.; Gandrillon, O.; Volpert, V.
8
2010
A mathematical model of the population dynamics of disease-transmitting vectors with spatial consideration. Zbl 1219.92054
Nourridine, Siewe; Teboh-Ewungkem, Miranda I.; Ngwa, Gideon A.
8
2011
The role of host population heterogeneity in the evolution of virulence. Zbl 1403.92308
Pugliese, Andrea
8
2011
Classical solutions and steady states of an attraction-repulsion chemotaxis in one dimension. Zbl 1452.92010
Liu, Jia; Wang, Zhi-An
8
2012
Reproduction numbers for infections with free-living pathogens growing in the environment. Zbl 1447.92395
Bani-Yaghoub, Majid; Gautam, Raju; Shuai, Zhisheng; van den Driessche, P.; Ivanek, Renata
8
2012
Analysis of cholera epidemics with bacterial growth and spatial movement. Zbl 1448.92353
Wang, Xueying; Wang, Jin
8
2015
A discrete model of avian influenza with seasonal reproduction and transmission. Zbl 1342.92255
Ma, Xinling; Wang, Wendi
8
2010
Coexistence of competing juvenile-adult structured populations. Zbl 1122.92064
Cushing, J. M.; Henson, Shandelle M.; Roeger, Lih-Ing
7
2007
An apparent paradox of horizontal and vertical disease transmission. Zbl 1140.92019
Faeth, Stanley H.; Hadeler, Karl P.; Thieme, Horst R.
7
2007
Infection-age structured epidemic models with behavior change or treatment. Zbl 1140.92021
Hyman, James M.; Li, Jia
7
2007
Rabies in raccoons: optimal control for a discrete time model on a spatial grid. Zbl 1284.92101
Ding, Wandi; Gross, Louis J.; Langston, Keith; Lenhart, Suzanne; Real, Leslie A.
7
2007
A model for Chagas disease with controlled spraying. Zbl 1219.92056
Spagnuolo, Anna Maria; Shillor, Meir; Stryker, Gabrielle A.
7
2011
Spatiotemporal dynamics of two generic predator-prey models. Zbl 1403.92245
Garvie, Marcus R.; Trenchea, C.
7
2010
Analysis of a tuberculosis model with a case study in Uganda. Zbl 1403.92286
Buonomo, Bruno; Lacitignola, Deborah
7
2010
Modelling and analysis of impulsive releases of sterile mosquitoes. Zbl 1448.92296
Huang, Mingzhan; Song, Xinyu; Li, Jia
7
2017
Two-sex mosquito model for the persistence of Wolbachia. Zbl 1447.92493
Xue, Ling; Manore, Carrie A.; Thongsripong, Panpim; Hyman, James M.
7
2017
Dynamics of interactive wild and sterile mosquitoes with time delay. Zbl 1448.92260
Yu, Jianshe; Li, Jia
7
2019
Extinction thresholds in deterministic and stochastic epidemic models. Zbl 1447.92388
Allen, Linda J. S.; Lahodny, Glenn E. jun.
7
2012
Global stability of pathogen-immune dynamics with absorption. Zbl 1342.92111
Kajiwara, Tsuyoshi; Sasaki, Toru
7
2010
Global stability of models of humoral immunity against multiple viral strains. Zbl 1342.92110
Inoue, Toru; Kajiwara, Tsuyoshi; Sasaki, Toru
7
2010
A comparison of probabilistic and stochastic formulations in modelling growth uncertainty and variability. Zbl 1342.92156
Banks, H. T.; Davis, J. L.; Ernstberger, S. L.; Hu, Shuhua; Artimovich, E.; Dhar, A. K.; Browdy, C. L.
7
2009
Age of infection epidemic models with heterogeneous mixing. Zbl 1342.92228
Brauer, Fred; Watmough, James
7
2009
Synchrony in tritrophic food chain metacommunities. Zbl 1342.92158
Belykh, Igor; Piccardi, Carlo; Rinaldi, Sergio
7
2009
Bistable waves for a class of cooperative reaction-diffusion systems. Zbl 1140.92028
Jin, Yu; Zhao, Xiao-Qiang
6
2008
A monotone approximation for a size-structured population model with a generalized environment. Zbl 1284.92077
Ackleh, Azmy S.; Deng, Keng; Thibodeaux, Jeremy J.
6
2007
Discrete three-stage population model: persistence and global stability results. Zbl 1315.92057
Ackleh, Azmy S.; De Leenheer, Patrick
6
2008
Association between competition and obligate mutualism in a chemostat. Zbl 1315.92059
El Hajji, Miled; Harmand, Jérôme; Chaker, Hédia; Lobry, Claude
6
2009
Optimal control of a rabies epidemic model with a birth pulse. Zbl 1315.92074
Clayton, Tim; Duke-Sylvester, Scott; Gross, Louis J.; Lenhart, Suzanne; Real, Leslie A.
6
2010
Dynamic vaccination games and variational inequalities on time-dependent sets. Zbl 1403.92116
Barbagallo, Annamaria; Cojocaru, Monica-Gabriela
6
2010
Stage-structured wild and sterile mosquito population models and their dynamics. Zbl 1448.92219
Li, Jia; Cai, Liming; Li, Yang
6
2017
Dynamics analysis of a predator-prey system with harvesting prey and disease in prey species. Zbl 1448.92235
Meng, Xin-You; Qin, Ni-Ni; Huo, Hai-Feng
6
2018
New revised simple models for interactive wild and sterile mosquito populations and their dynamics. Zbl 1448.92217
Li, Jia
6
2017
Modelling of transgenic mosquitoes and impact on malaria transmission. Zbl 1225.92033
Li, Jia
6
2011
Depletion of forestry resource biomass due to industrialization pressure: a ratio-dependent mathematical model. Zbl 1342.91023
Agarwal, Manju; Fatima, Tazeen; Freedman, H. I.
6
2010
The logistic, two-sex, age-structured population model. Zbl 1342.92213
Yang, Kai; Milner, Fabio
6
2009
The Beverton-Holt model with periodic and conditional harvesting. Zbl 1342.91025
AlSharawi, Ziyad; Rhouma, Mohamed B. H.
6
2009
The importance of census times in discrete-time growth-dispersal models. Zbl 1140.92029
Lutscher, Frithjof; Petrovskii, Sergei V.
5
2008
Monotone bifurcation graphs. Zbl 1141.92005
Enciso, G. A.; Sontag, E. D.
5
2008
Stochastic hybrid delay population dynamics: well-posed models and extinction. Zbl 1155.92044
Yuan, Chenggui; Mao, Xuerong; Lygeros, John
5
2009
Continuous-time predator-prey models with parasites. Zbl 1155.92042
Jang, Sophia R.-J.; Baglama, James
5
2009
Analysis of HIV models with two time delays. Zbl 1447.92390
Alshorman, Areej; Wang, Xia; Meyer, M. Joseph; Rong, Libin
5
2017
On several conjectures from evolution of dispersal. Zbl 1444.92132
Averill, Isabel; Lou, Yuan; Munther, Dan
5
2012
Evolutionary stability of ideal free nonlocal dispersal. Zbl 1447.92275
Cosner, Chris; Dávila, Juan; Martínez, Salomé
5
2012
On the formulation of epidemic models (an appraisal of Kermack and McKendrick). Zbl 1447.92401
Breda, D.; Diekmann, O.; De Graaf, W. F.; Pugliese, A.; Vermiglio, R.
5
2012
Modelling cholera in periodic environments. Zbl 1448.92330
Posny, Drew; Wang, Jin
5
2014
Modelling releases of sterile mosquitoes with different strategies. Zbl 1448.92220
Li, Jia; Yuan, Zhiling
5
2015
Stability of a certain class of a host-parasitoid models with a spatial refuge effect. Zbl 1448.92174
Bešo, E.; Kalabušić, S.; Mujić, N.; Pilav, E.
2
2020
Game theoretic modelling of infectious disease dynamics and intervention methods: a review. Zbl 1447.92405
Chang, Sheryl L.; Piraveenan, Mahendra; Pattison, Philippa; Prokopenko, Mikhail
2
2020
Optimal control strategies for the transmission risk of COVID-19. Zbl 1447.92465
Obsu, Legesse Lemecha; Balcha, Shiferaw Feyissa
2
2020
Global dynamics and optimal harvesting in a stochastic two-predators one-prey system with distributed delays and Lévy noise. Zbl 1447.92371
Tuerxun, Nafeisha; Abdurahman, Xamxinur; Teng, Zhidong
1
2020
Modelling malaria dynamics with partial immunity and protected travellers: optimal control and cost-effectiveness analysis. Zbl 1447.92467
Olaniyi, S.; Okosun, K. O.; Adesanya, S. O.; Lebelo, R. S.
1
2020
Impulsive releases of sterile mosquitoes and interactive dynamics with time delay. Zbl 1448.92218
Li, Jia; Ai, Shangbing
1
2020
Chaotic attractors in Atkinson-Allen model of four competing species. Zbl 1447.92340
Gyllenberg, Mats; Jiang, Jifa; Niu, Lei
1
2020
Stability analysis in a mosquito population suppression model. Zbl 1447.92349
Lin, Genghong; Hui, Yuanxian
1
2020
Dynamics of interactive wild and sterile mosquitoes with time delay. Zbl 1448.92260
Yu, Jianshe; Li, Jia
7
2019
Difference equations as models of evolutionary population dynamics. Zbl 1447.92333
Cushing, J. M.
3
2019
Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect. Zbl 1447.92474
Sha, Amar; Samanta, Sudip; Martcheva, Maia; Chattopadhyay, Joydev
3
2019
A simplified stochastic optimization model for logistic dynamics with control-dependent carrying capacity. Zbl 1448.92388
Yoshioka, Hidekazu
2
2019
Influence of non-homogeneous mixing on final epidemic size in a meta-population model. Zbl 1447.92410
Cui, Jingan; Zhang, Yanan; Feng, Zhilan
2
2019
Weather-driven malaria transmission model with gonotrophic and sporogonic cycles. Zbl 1447.92466
Okuneye, Kamaldeen; Eikenberry, Steffen E.; Gumel, Abba B.
2
2019
Optimal control of a vectored plant disease model for a crop with continuous replanting. Zbl 1447.92552
Bokil, V. A.; Allen, L. J. S.; Jeger, M. J.; Lenhart, S.
2
2019
Mathematical model to assess vaccination and effective contact rate impact in the spread of tuberculosis. Zbl 1447.92224
Nkamba, Leontine Nkague; Manga, Thomas Timothee; Agouanet, Franklin; Manyombe, Martin Luther Mann
1
2019
Global dynamics of an age-structured cholera model with multiple transmissions, saturation incidence and imperfect vaccination. Zbl 1447.92444
Lin, Jiazhe; Xu, Rui; Tian, Xiaohong
1
2019
Consumer-resource coexistence as a means of reducing infectious disease. Zbl 1447.92416
Duffy, Kevin J.; Collins, Obiora C.
1
2019
Hopf bifurcation of an age-structured HIV infection model with logistic target-cell growth. Zbl 1447.92426
Guo, Zhong-Kai; Huo, Hai-Feng; Xiang, Hong
1
2019
Global asymptotical stability of almost periodic solutions for a non-autonomous competing model with time-varying delays and feedback controls. Zbl 1448.92256
Xu, Changjin; Li, Peiluan; Guo, Ying
1
2019
Optimal control of a delayed smoking model with immigration. Zbl 1447.92476
Sun, Caixia; Jia, Jianwen
1
2019
Bifurcation analysis and chaos control for a plant-herbivore model with weak predator functional response. Zbl 1448.92371
Din, Qamar; Shabbir, M. Sajjad; Khan, M. Asif; Ahmad, Khalil
1
2019
IPM strategies to a discrete switching predator-prey model induced by a mate-finding Allee effect. Zbl 1447.92361
Qin, Wenjie; Tan, Xuewen; Shi, Xiaotao; Xiang, Changcheng
1
2019
Global stability of discrete virus dynamics models with humoural immunity and latency. Zbl 1448.92286
Elaiw, A. M.; Alshaikh, M. A.
1
2019
Backward Hopf bifurcation in a mathematical model for oncolytic virotherapy with the infection delay and innate immune effects. Zbl 1448.92098
Guo, Yuxiao; Niu, Ben; Tian, Jianjun Paul
1
2019
Early estimates of epidemic final sizes. Zbl 1447.92399
Brauer, Fred
1
2019
The effect of delay in viral production in within-host models during early infection. Zbl 1447.92393
Bai, Fan; Huff, Krystin E. S.; Allen, Linda J. S.
1
2019
Cooperative hunting in a discrete predator-prey system. II. Zbl 1441.92031
Chow, Yunshyong; Jang, Sophia R.-J.; Wang, Hua-Ming
1
2019
Dynamics analysis of a predator-prey system with harvesting prey and disease in prey species. Zbl 1448.92235
Meng, Xin-You; Qin, Ni-Ni; Huo, Hai-Feng
6
2018
Periodic solution of a stochastic SIRS epidemic model with seasonal variation. Zbl 1447.92437
Jin, Manli; Lin, Yuguo
4
2018
An age-structured within-host HIV-1 infection model with virus-to-cell and cell-to-cell transmissions. Zbl 1448.92358
Xu, Rui; Tian, Xiaohong; Zhang, Shihua
3
2018
Dynamics of populations with individual variation in dispersal on bounded domains. Zbl 1447.92329
Cantrell, Robert Stephen; Cosner, Chris; Yu, Xiao
3
2018
How noise and coupling influence leading indicators of population extinction in a spatially extended ecological system. Zbl 1447.92535
O’Regan, Suzanne M.
2
2018
A mathematical model of malaria transmission in a periodic environment. Zbl 1448.92275
Bakary, Traoré; Boureima, Sangaré; Sado, Traoré
2
2018
Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations. Zbl 1447.92360
Pouchol, Camille; Trélat, Emmanuel
2
2018
Global dynamics of an epidemiological model with age of infection and disease relapse. Zbl 1447.92494
Xu, Rui
1
2018
Stability and Hopf bifurcation for a five-dimensional virus infection model with Beddington-DeAngelis incidence and three delays. Zbl 1447.92455
Miao, Hui; Teng, Zhidong; Abdurahman, Xamxinur
1
2018
Homogenization techniques for population dynamics in strongly heterogeneous landscapes. Zbl 1447.92547
Yurk, Brian P.; Cobbold, Christina A.
1
2018
Hierarchical competition models with the Allee effect. III: Multispecies. Zbl 1448.92190
Elaydi, S.; Kwessi, E.; Livadiotis, G.
1
2018
Epidemic models with heterogeneous mixing and indirect transmission. Zbl 1447.92412
David, Jummy Funke
1
2018
On the dynamics of one-prey-\(n\)-predator impulsive reaction-diffusion predator-prey system with ratio-dependent functional response. Zbl 1447.92352
Liu, Zijian; Zhang, Lei; Bi, Ping; Pang, Jianhua; Li, Bing; Fang, Chengling
1
2018
The transmission dynamic of different hepatitis B-infected individuals with the effect of hospitalization. Zbl 1447.92439
Khan, Tahir; Zaman, Gul; Chohan, Muhammad Ikhlaq
1
2018
A particle model analysing the behavioural rules underlying the collective flight of a bee swarm towards the new nest. Zbl 1447.92563
Bernardi, Sara; Colombi, Annachiara; Scianna, Marco
1
2018
Analysis of latent CHIKV dynamics models with general incidence rate and time delays. Zbl 1447.92419
Elaiw, Ahmed M.; Alade, Taofeek O.; Alsulami, Saud M.
1
2018
Theoretical and numerical results for an age-structured SIVS model with a general nonlinear incidence rate. Zbl 1447.92496
Yang, Junyuan; Chen, Yuming
1
2018
A mathematical study to control Guinea worm disease: a case study on Chad. Zbl 1447.92424
Ghosh, Indrajit; Tiwari, Pankaj Kumar; Mandal, Sandip; Martcheva, Maia; Chattopadhyay, Joydev
1
2018
Efficacy of control measures in the control of Ebola, Liberia 2014–2015. Zbl 1447.92479
Tuncer, Necibe; Mohanakumar, Chindu; Swanson, Samuel; Martcheva, Maia
1
2018
Mathematical analysis of an HIV latent infection model including both virus-to-cell infection and cell-to-cell transmission. Zbl 1447.92487
Wang, Xia; Tang, Sanyi; Song, Xinyu; Rong, Libin
10
2017
Modelling and analysis of impulsive releases of sterile mosquitoes. Zbl 1448.92296
Huang, Mingzhan; Song, Xinyu; Li, Jia
7
2017
Two-sex mosquito model for the persistence of Wolbachia. Zbl 1447.92493
Xue, Ling; Manore, Carrie A.; Thongsripong, Panpim; Hyman, James M.
7
2017
Stage-structured wild and sterile mosquito population models and their dynamics. Zbl 1448.92219
Li, Jia; Cai, Liming; Li, Yang
6
2017
New revised simple models for interactive wild and sterile mosquito populations and their dynamics. Zbl 1448.92217
Li, Jia
6
2017
Analysis of HIV models with two time delays. Zbl 1447.92390
Alshorman, Areej; Wang, Xia; Meyer, M. Joseph; Rong, Libin
5
2017
A simple mathematical model for Ebola in Africa. Zbl 1448.92276
Berge, T.; Lubuma, J. M.-S.; Moremedi, G. M.; Morris, N.; Kondera-Shava, R.
3
2017
Modelling the spatiotemporal dynamics of chemovirotherapy cancer treatment. Zbl 1447.92200
Malinzi, Joseph; Eladdadi, Amina; Sibanda, Precious
3
2017
An HIV model with age-structured latently infected cells. Zbl 1447.92191
Alshorman, Areej; Samarasinghe, Chathuri; Lu, Wenlian; Rong, Libin
3
2017
Dual role of delay effects in a tumour-immune system. Zbl 1447.92111
Yu, Min; Dong, Yueping; Takeuchi, Yasuhiro
3
2017
Global Hopf bifurcation analysis of an susceptible-infective-removed epidemic model incorporating media coverage with time delay. Zbl 1448.92367
Zhao, Huitao; Zhao, Miaochan
2
2017
Optimal control of the Lotka-Volterra system: turnpike property and numerical simulations. Zbl 1448.92200
Ibañez, Aitziber
2
2017
Steady states and outbreaks of two-phase nonlinear age-structured model of population dynamics with discrete time delay. Zbl 1447.92323
Akimenko, Vitalii; Anguelov, Roumen
2
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
2
2017
The transmission dynamic and optimal control of acute and chronic hepatitis B. Zbl 1447.92438
Khan, Tahir; Zaman, Gul; Chohan, M. Ikhlaq
2
2017
Global stability of the coexistence equilibrium for a general class of models of facultative mutualism. Zbl 1447.92354
Maxin, D.; Georgescu, P.; Sega, L.; Berec, L.
2
2017
Media alert in an SIS epidemic model with logistic growth. Zbl 1448.92352
Wang, Lianwen; Zhou, Da; Liu, Zhijun; Xu, Dashun; Zhang, Xinan
2
2017
Disease dynamics in a coupled cholera model linking within-host and between-host interactions. Zbl 1447.92228
Wang, Xueying; Wang, Jin
2
2017
Stability of a binge drinking model with delay. Zbl 1447.92430
Huo, Hai-Feng; Chen, Yong-Lan; Xiang, Hong
1
2017
A dynamical model of the transport of asbestos fibres in the human body. Zbl 1444.92022
Destefano, Alisa; Martin, Clyde F.; Wallace, Dorothy I.
1
2017
Analysis of a time-delayed mathematical model for tumour growth with an almost periodic supply of external nutrients. Zbl 1447.92110
Xu, Shihe; Bai, Meng; Zhang, Fangwei
1
2017
Optimal control applied to community-acquired methicillin-resistant Staphylococcus aureus in hospitals. Zbl 1447.92217
Ding, Wandi; Webb, Glenn F.
1
2017
A new epidemic model with indirect transmission. Zbl 1447.92400
Brauer, Fred
1
2017
A mathematical model for the interplay of Nosema infection and forager losses in honey bee colonies. Zbl 1447.92469
Petric, Alex; Guzman-Novoa, Ernesto; Eberl, Hermann J.
1
2017
The travelling wave of gray-Scott systems – existence, multiplicity and stability. Zbl 1448.92400
Qi, Yuanwei; Zhu, Yi
1
2017
Modelling and optimal control of pneumonia disease with cost-effective strategies. Zbl 1447.92227
Tilahun, Getachew Teshome; Makinde, Oluwole Daniel; Malonza, David
1
2017
A model of the Ebola epidemics in West Africa incorporating age of infection. Zbl 1448.92354
Webb, G. F.; Browne, C. J.
2
2016
Analysis of a model of gambiense sleeping sickness in humans and cattle. Zbl 1448.92326
Ndondo, A. M.; Munganga, J. M. W.; Mwambakana, J. N.; Saad-Roy, C. M.; van den Driessche, P.; Walo, R. O.
2
2016
A mathematical model for Crimean-Congo haemorrhagic fever: tick-borne dynamics with conferred host immunity. Zbl 1448.92344
Switkes, J.; Nannyonga, B.; Mugisha, J. Y. T.; Nakakawa, J.
1
2016
Modelling the biological invasion of Carcinus maenas (the European green crab). Zbl 1448.92232
Marculis, Nathan G.; Lui, Roger
1
2016
Stochastic models for the Trojan Y-Chromosome eradication strategy of an invasive species. Zbl 1448.92386
Wang, Xueying; Walton, Jay R.; Parshad, Rana D.
1
2016
The impact of spatial arrangements on epidemic disease dynamics and intervention strategies. Zbl 1448.92306
Kelly, Michael R. jun.; Tien, Joseph H.; Eisenberg, Marisa C.; Lenhart, Suzanne
1
2016
Complex dynamics in biological systems arising from multiple limit cycle bifurcation. Zbl 1448.92364
Yu, P.; Lin, W.
1
2016
Direct and inverse relationships between Riccati systems coupled with multiplicative terms. Zbl 1448.92242
Navickas, Z.; Vilkas, R.; Telksnys, T.; Ragulskis, M.
1
2016
An immuno-eco-epidemiological model of competition. Zbl 1448.92277
Bhattacharya, Souvik; Martcheva, Maia
1
2016
Finite-time Lyapunov exponents and metabolic control coefficients for threshold detection of stimulus-response curves. Zbl 1448.92074
Duc, Luu Hoang; Páez Chávez, Joseph; Son, Doan Thai; Siegmund, Stefan
1
2016
Uniqueness of Nash equilibrium in vaccination games. Zbl 1448.92120
Bai, Fan
1
2016
Competitive exclusion in a multi-strain immuno-epidemiological influenza model with environmental transmission. Zbl 1448.92284
Dang, Yan-Xia; Li, Xue-Zhi; Martcheva, Maia
1
2016
Stability analysis of pine wilt disease model by periodic use of insecticides. Zbl 1448.92274
Awan, Aziz Ullah; Ozair, Muhammad; Din, Qamar; Hussain, Takasar
1
2016
Evolution of dispersal in closed advective environments. Zbl 1448.92378
Lam, King-Yeung; Lou, Yuan; Lutscher, Frithjof
11
2015
Analysis of cholera epidemics with bacterial growth and spatial movement. Zbl 1448.92353
Wang, Xueying; Wang, Jin
8
2015
Modelling releases of sterile mosquitoes with different strategies. Zbl 1448.92220
Li, Jia; Yuan, Zhiling
5
2015
A discrete-time host-parasitoid model with an Allee effect. Zbl 1448.92226
Livadiotis, G.; Assas, L.; Dennis, B.; Elaydi, S.; Kwessi, E.
4
2015
Modelling and control of cholera on networks with a common water source. Zbl 1448.92340
Shuai, Zhisheng; van den Driessche, P.
3
2015
Estimating the probability of an extinction or major outbreak for an environmentally transmitted infectious disease. Zbl 1448.92313
Lahodny, Glenn E. jun.; Gautam, R.
3
2015
Allee effects and population spread in patchy landscapes. Zbl 1448.92229
Maciel, Gabriel Andreguetto; Lutscher, Frithjof
1
2015
Global behaviour of a predator-prey like model with piecewise constant arguments. Zbl 1448.92207
Kartal, Senol; Gurcan, Fuat
1
2015
A stage-structured predator-prey model with distributed maturation delay and harvesting. Zbl 1448.92162
Al-Omari, J. F. M.
1
2015
A second-order characteristic line scheme for solving a juvenile-adult model of amphibians. Zbl 1448.92186
Deng, Keng; Wang, Yi
1
2015
Sticky surface: sphere-sphere adhesion dynamics. Zbl 1448.92082
Sircar, Sarthok; Younger, John G.; Bortz, David M.
1
2015
A second-order high-resolution finite difference scheme for a size-structured model for the spread of Mycobacterium marinum. Zbl 1444.92131
Ackleh, Azmy S.; Delcambre, Mark L.; Sutton, Karyn L.
1
2015
A seasonal SIR metapopulation model with an Allee effect with application to controlling plague in prairie dog colonies. Zbl 1448.92189
Ekanayake, A. J.; Ekanayake, D. B.
1
2015
Modelling cholera in periodic environments. Zbl 1448.92330
Posny, Drew; Wang, Jin
5
2014
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Cited by 2,279 Authors

20 Ackleh, Azmy S.
20 Banks, Harvey Thomas
17 Elaydi, Saber Nasr
16 Cushing, Jim M.
16 Kang, Yun
15 Jang, Sophia R.-J.
14 Gyllenberg, Mats
14 Kuang, Yang
13 Lou, Yuan
13 Ruan, Shigui
13 Schreiber, Sebastian J.
11 Gumel, Abba B.
10 Cosner, Chris
10 Jiang, Jifa
10 Jin, Zhen
10 Kengne, Jacques
10 Metz, Johan A. Jacob
10 Niu, Lei
10 Yakubu, Abdul-Aziz
9 Allen, Linda J. S.
9 Huo, Hai-Feng
9 Parvinen, Kalle
9 Qiu, Zhipeng
9 Sari, Tewfik
9 Thieme, Horst R.
9 Wang, Hao
9 Yu, Jian-She
8 Castillo-Chavez, Carlos
8 Chattopadhyay, Joydev
8 Flores, Kevin B.
8 Hilker, Frank M.
8 Lam, King-Yeung
8 Li, Zuxiong
8 Livadiotis, George
8 Luís, Rafael
8 Sun, Guiquan
8 Zou, Xingfu
7 Cantrell, Robert Stephen
7 Diekmann, Odo
7 Din, Qamar
7 Fekih-Salem, Radhouane
7 Hening, Alexandru
7 Klebaner, Fima C.
7 Kwessi, Eddy A.
7 Li, Jia
7 Macías-Díaz, Jorge Eduardo
7 Martcheva, Maia
7 Peace, Angela
7 Rong, Libin
7 Sacker, Robert J.
7 Takeuchi, Yasuhiro
7 Wu, Jianhong
7 Xu, Rui
6 Allen, Edward James
6 Alsharawi, Ziyad
6 Arenas, Abraham J.
6 Assas, Laila M. B.
6 Baigent, Stephen A.
6 Chen, Yuming
6 Farkas, József Zoltán
6 Feng, Zhilan
6 Grognard, Frédéric
6 Hadeler, Karl-Peter
6 Henson, Shandelle M.
6 Mailleret, Ludovic
6 Manna, Kalyan
6 Mickens, Ronald Elbert
6 Nguyen, Dang Hai
6 Ngwa, Gideon Akumah
6 Ruiz-Herrera, Alfonso
6 Samanta, Sudip K.
6 Teboh-Ewungkem, Miranda I.
6 Tridane, Abdessamad
6 Wang, Hailing
6 Wang, Jin
6 Wang, Jinfeng
6 Young, Todd R.
6 Yu, Pei
6 Yuan, Sanling
6 Zhang, Juan
6 Zhang, Xinan
5 Blyuss, Konstantin B.
5 Chandra, Peeyush
5 Chow, Yunshyong
5 Dénes, Attila
5 Doumic, Marie
5 Fan, Meng
5 Franco, Daniel H. T.
5 González-Parra, Gilberto C.
5 Gupta, Rajendra P.
5 Hou, Qiang
5 Huang, Mingzhan
5 Jagers, Peter
5 Ji, Yu
5 Kajiwara, Tsuyoshi
5 Lazaryan, Nika
5 Lewis, Mark Alun
5 Liu, Sanhong
5 Liz, Eduardo
5 Lubuma, Jean Mbaro-Saman
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Cited in 181 Journals

102 Journal of Mathematical Biology
94 Journal of Biological Dynamics
79 Journal of Theoretical Biology
77 Bulletin of Mathematical Biology
68 Mathematical Biosciences and Engineering
64 Discrete and Continuous Dynamical Systems. Series B
61 Mathematical Biosciences
61 Journal of Difference Equations and Applications
35 Applied Mathematics and Computation
34 Nonlinear Analysis. Real World Applications
32 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
32 International Journal of Biomathematics
27 Journal of Mathematical Analysis and Applications
27 Journal of Biological Systems
24 Mathematical Modelling of Natural Phenomena
23 Theoretical Population Biology
21 Advances in Difference Equations
19 Journal of Differential Equations
18 Chaos, Solitons and Fractals
18 Discrete Dynamics in Nature and Society
18 Communications in Nonlinear Science and Numerical Simulation
16 Applied Mathematics Letters
15 Computers & Mathematics with Applications
15 Nonlinear Dynamics
12 Applied Mathematical Modelling
12 Complexity
11 Mathematics and Computers in Simulation
11 Journal of Dynamics and Differential Equations
11 International Journal of Applied and Computational Mathematics
10 Mathematical Methods in the Applied Sciences
10 Abstract and Applied Analysis
9 SIAM Journal on Applied Dynamical Systems
8 Journal of Computational and Applied Mathematics
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 SIAM Journal on Applied Mathematics
8 Computational and Applied Mathematics
8 Discrete and Continuous Dynamical Systems
8 Differential Equations and Dynamical Systems
7 Ricerche di Matematica
7 Acta Applicandae Mathematicae
7 Chaos
7 Journal of Applied Mathematics
6 Physica A
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 Mathematical and Computer Modelling
6 Computational & Mathematical Methods in Medicine
5 Journal of the Franklin Institute
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 International Journal of Mathematics and Mathematical Sciences
5 Stochastic Analysis and Applications
5 The Annals of Applied Probability
5 Mathematical Problems in Engineering
5 Nonlinear Analysis. Modelling and Control
5 International Journal of Differential Equations
5 Journal of Applied Analysis and Computation
4 Advances in Applied Probability
4 Nonlinearity
4 Proceedings of the American Mathematical Society
4 Numerical Methods for Partial Differential Equations
4 SIAM Journal on Mathematical Analysis
4 Mathematical Population Studies
4 Qualitative Theory of Dynamical Systems
4 Discrete and Continuous Dynamical Systems. Series S
3 International Journal of Control
3 International Journal of Computer Mathematics
3 Communications on Pure and Applied Analysis
3 Journal of Applied Mathematics and Computing
3 Inverse Problems in Science and Engineering
2 Physics Letters. A
2 Physics Reports
2 SIAM Journal on Control and Optimization
2 Computational Mechanics
2 Japan Journal of Industrial and Applied Mathematics
2 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
2 SIAM Review
2 Journal of Nonlinear Science
2 Journal of the Egyptian Mathematical Society
2 Journal of Inverse and Ill-Posed Problems
2 Journal of Mathematical Chemistry
2 European Journal of Control
2 Natural Resource Modeling
2 Acta Mathematica Sinica. English Series
2 International Journal of Applied Mathematics and Computer Science
2 Optimization and Engineering
2 The ANZIAM Journal
2 Journal of Evolution Equations
2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis
2 Stochastic Models
2 Stochastics and Dynamics
2 Nonlinear Analysis. Hybrid Systems
2 Differential Equations and Applications
2 Journal of Mathematics
2 ISRN Biomathematics
2 Open Mathematics
2 Cogent Mathematics
2 Results in Applied Mathematics
1 Applicable Analysis
1 Computers and Fluids
1 Communications in Mathematical Physics
1 International Journal of Mathematical Education in Science and Technology
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Cited in 41 Fields

1,231 Biology and other natural sciences (92-XX)
473 Ordinary differential equations (34-XX)
246 Partial differential equations (35-XX)
225 Dynamical systems and ergodic theory (37-XX)
122 Difference and functional equations (39-XX)
107 Probability theory and stochastic processes (60-XX)
101 Numerical analysis (65-XX)
94 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
57 Systems theory; control (93-XX)
56 Calculus of variations and optimal control; optimization (49-XX)
25 Statistics (62-XX)
20 Operator theory (47-XX)
17 Integral equations (45-XX)
13 Information and communication theory, circuits (94-XX)
10 Statistical mechanics, structure of matter (82-XX)
10 Operations research, mathematical programming (90-XX)
9 Combinatorics (05-XX)
8 Fluid mechanics (76-XX)
6 Computer science (68-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
5 Real functions (26-XX)
4 Mechanics of deformable solids (74-XX)
3 History and biography (01-XX)
3 Mathematical logic and foundations (03-XX)
3 Mechanics of particles and systems (70-XX)
3 Geophysics (86-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 Functional analysis (46-XX)
2 Differential geometry (53-XX)
2 Manifolds and cell complexes (57-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Quantum theory (81-XX)
2 Mathematics education (97-XX)
1 General and overarching topics; collections (00-XX)
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1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)

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