×

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: 583 Publications (since 2007)
References Indexed: 567 Publications with 19,234 References.
all top 5

Authors

24 Martcheva, Maia
17 Cushing, Jim M.
13 Ackleh, Azmy S.
11 Elaydi, Saber Nasr
9 Allen, Linda J. S.
9 Jang, Sophia R.-J.
9 Yakubu, Abdul-Aziz
8 Banks, Harvey Thomas
8 Huo, Hai-Feng
8 Tuncer, Necibe
7 Lenhart, Suzanne M.
7 Li, Jia
7 van den Driessche, Pauline
7 Wang, Jin
7 Xiang, Hong
6 Brauer, Fred
6 Chen, Yuming
6 Henson, Shandelle Marie
6 Kuang, Yang
6 Livadiotis, George
6 Stadtländer, Christian T. K.-H.
5 Castillo-Chavez, Carlos
5 Gumel, Abba B.
5 Gyllenberg, Mats
5 Kang, Yun
5 Li, Xuezhi
5 Maxin, Daniel
5 Ruan, Shigui
5 Song, Xinyu
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 Kwessi, Eddy A.
4 Lutscher, Frithjof
4 Rong, Libin
4 Sacker, Robert J.
4 Sega, Laurentiu
4 Takeuchi, Yasuhiro
4 Teng, Zhi-dong
4 Thieme, Horst R.
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 Guo, Zhiming
3 Hayward, James L.
3 Hillen, Thomas
3 Holt, Robert D.
3 Hu, Shuhua
3 Huang, Mingzhan
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 Mohammed-Awel, Jemal
3 Pilyugin, Sergei S.
3 Salceanu, Paul Leonard
3 Sasaki, Toru
3 Schaffer, William Morris
3 Schreiber, Sebastian J.
3 Smith, Hal Leslie
3 Tian, Xiaohong
3 Tien, Joseph Hua
3 Tiwari, Pankaj Kumar
3 Wang, Jinliang
3 Wang, Xia
3 Xu, Rui
3 Xu, Shihe
3 Yang, Junyuan
3 Young, Todd R.
3 Zhang, Xinan
3 Zou, Xingfu
2 Abdurahman, Xamxinur
2 Adachi-Yamada, Takashi
2 Adhikari, Khagendra
2 Ali, Qasim
2 Alshorman, Areej
2 Anguelov, Roumen
2 Arino, Julien
2 Ashrafur Rahman, S. M.
2 Baglama, James
...and 1,005 more Authors

Publications by Year

Citations contained in zbMATH Open

385 Publications have been cited 2,343 times in 1,996 Documents Cited by Year
Pattern formation in prey-taxis systems. Zbl 1315.92064
Lee, J. M.; Hillen, T.; Lewis, M. A.
71
2009
Dynamics of a delay differential equation model of hepatitis B virus infection. Zbl 1140.92014
Gourley, Stephen A.; Kuang, Yang; Nagy, John D.
62
2008
The ideal free distribution as an evolutionarily stable strategy. Zbl 1122.92062
Cantrell, Robert Stephen; Cosner, Chris; Deangelis, Donald L.; Padron, Victor
45
2007
Population models with Allee effect: a new model. Zbl 1342.92166
Elaydi, Saber N.; Sacker, Robert J.
42
2010
Numerical integration of population models satisfying conservation laws: NSFD methods. Zbl 1284.92116
Mickens, Ronald E.
39
2007
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
On existence and uniqueness of the carrying simplex for competitive dynamical systems. Zbl 1152.92026
Hirsch, Morris W.
30
2008
Dynamics of a mechanistically derived stoichiometric producer-grazer model. Zbl 1402.92372
Wang, Hao; Kuang, Yang; Loladze, Irakli
30
2008
Multiple mixed-type attractors in a competition model. Zbl 1284.92108
Cushing, J. M.; Henson, Shandelle M.; Blackburn, Chantel C.
29
2007
Bioeconomic harvesting of a prey-predator fishery. Zbl 1342.91026
Das, Tapasi; Mukherjee, R. N.; Chaudhuri, K. S.
28
2009
Stability of a Ricker-type competition model and the competitive exclusion principle. Zbl 1236.92070
Luís, Rafael; Elaydi, Saber; Oliveira, Henrique
26
2011
A model for ovine brucellosis incorporating direct and indirect transmission. Zbl 1315.92072
Aïnseba, Bedr’Eddine; Benosman, Chahrazed; Magal, Pierre
26
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.
24
2008
Prion dynamics with size dependency-strain phenomena. Zbl 1315.92039
Calvez, V.; Lenuzza, N.; Doumic, M.; Deslys, J.-P.; Mouthon, F.; Perthame, B.
23
2010
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
23
2017
Evolution of dispersal in closed advective environments. Zbl 1448.92378
Lam, King-Yeung; Lou, Yuan; Lutscher, Frithjof
23
2015
A non-autonomous multi-strain SIS epidemic model. Zbl 1342.92258
Martcheva, Maia
22
2009
Population collapse to extinction: the catastrophic combination of parasitism and Allee effect. Zbl 1315.92060
Hilker, Frank M.
22
2010
Campus drinking: An epidemiological model. Zbl 1154.92323
Manthey, J. L.; Aidoo, A. Y.; Ward, K. Y.
21
2008
The basic reproduction number in epidemic models with periodic demographics. Zbl 1342.92287
Wesley, Curtis L.; Allen, Linda J. S.
21
2009
Two models of interfering predators in impulsive biological control. Zbl 1315.92066
Nundloll, S.; Mailleret, L.; Grognard, F.
21
2010
The transmission dynamic and optimal control of acute and chronic hepatitis B. Zbl 1447.92438
Khan, Tahir; Zaman, Gul; Chohan, M. Ikhlaq
21
2017
Differential equations models for interacting wild and transgenic mosquito populations. Zbl 1165.34027
Li, Jia
19
2008
Dynamics of interactive wild and sterile mosquitoes with time delay. Zbl 1448.92260
Yu, Jianshe; Li, Jia
19
2019
Dynamics of a plant-herbivore model. Zbl 1140.92322
Kang, Yun; Armbruster, Dieter; Kuang, Yang
18
2008
Robust permanence and impermanence for stochastic replicator dynamics. Zbl 1140.92025
Benaïm, Michel; Hofbauer, Josef; Sandholm, William H.
18
2008
Competition in a turbidostat for an inhibitory nutrient. Zbl 1140.92324
Li, Bingtuan
18
2008
Multi-patch deterministic and stochastic models for wildlife diseases. Zbl 1140.92022
McCormack, Robert K.; Allen, Linda J. S.
17
2007
Immune response to a malaria infection: Properties of a mathematical model. Zbl 1140.92013
De Leenheer, Patrick; Pilyugin, Sergei S.
17
2008
Stage-structured wild and sterile mosquito population models and their dynamics. Zbl 1448.92219
Li, Jia; Cai, Liming; Li, Yang
17
2017
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
16
2009
New revised simple models for interactive wild and sterile mosquito populations and their dynamics. Zbl 1448.92217
Li, Jia
16
2017
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
16
2012
Analysis of cholera epidemics with bacterial growth and spatial movement. Zbl 1448.92353
Wang, Xueying; Wang, Jin
16
2015
Dynamical analysis of a multi-strain model of HIV in the presence of anti-retroviral drugs. Zbl 1154.92033
Sharomi, O.; Gumel, A. B.
15
2008
Derivation of stochastic partial differential equations for size- and age-structured populations. Zbl 1157.60331
Allen, Edward J.
15
2009
Game theoretic modelling of infectious disease dynamics and intervention methods: a review. Zbl 1447.92405
Chang, Sheryl L.; Piraveenan, Mahendra; Pattison, Philippa; Prokopenko, Mikhail
15
2020
Classical solutions and steady states of an attraction-repulsion chemotaxis in one dimension. Zbl 1452.92010
Liu, Jia; Wang, Zhi-An
15
2012
Modelling releases of sterile mosquitoes with different strategies. Zbl 1448.92220
Li, Jia; Yuan, Zhiling
15
2015
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
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
14
2008
Enhanced modelling of the glucose-insulin system and its applications in insulin therapies. Zbl 1155.92333
Wang, Haiyan; Li, Jiaxu; Kuang, Yang
14
2009
Threshold dynamics of a delayed reaction diffusion equation subject to the Dirichlet condition. Zbl 1342.92214
Yi, Taishan; Chen, Yuming; Wu, Jianhong
14
2009
The dynamic nature of contact networks in infectious disease epidemiology. Zbl 1342.92225
Bansal, Shweta; Read, Jonathan; Pourbohloul, Babak; Meyers, Lauren Ancel
14
2010
An SIS epidemiology game with two subpopulations. Zbl 1342.92277
Reluga, Timothy C.
14
2009
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.
14
2017
Modelling and analysis of impulsive releases of sterile mosquitoes. Zbl 1448.92296
Huang, Mingzhan; Song, Xinyu; Li, Jia
14
2017
Extinction thresholds in deterministic and stochastic epidemic models. Zbl 1447.92388
Allen, Linda J. S.; Lahodny, Glenn E. jun.
14
2012
How flocculation can explain coexistence in the chemostat. Zbl 1140.92320
Haegeman, B.; Rapaport, A.
13
2008
Global dynamics of a staged-progression model with amelioration for infectious diseases. Zbl 1140.92020
Guo, Hongbin; Li, Michael Y.
13
2008
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.
13
2010
Backward bifurcations in simple vaccination/treatment models. Zbl 1225.92029
Brauer, Fred
12
2011
A discrete model of avian influenza with seasonal reproduction and transmission. Zbl 1342.92255
Ma, Xinling; Wang, Wendi
12
2010
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
12
2018
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.
12
2012
On the Neimark-Sacker bifurcation in a discrete predator-prey system. Zbl 1403.92247
Hone, A. N. W.; Irle, M. V.; Thurura, G. W.
11
2010
The role of host population heterogeneity in the evolution of virulence. Zbl 1403.92308
Pugliese, Andrea
11
2011
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.
11
2011
Optimal control applied to native-invasive population dynamics. Zbl 1284.92114
Kern, Daniel L.; Lenhart, Suzanne; Miller, Rachael; Yong, Jiongmin
11
2007
Flu epidemics: a two-strain flu model with a single vaccination. Zbl 1225.92028
Ashrafur Rahman, S. M.; Zou, Xingfu
11
2011
Global stability of models of humoral immunity against multiple viral strains. Zbl 1342.92110
Inoue, Toru; Kajiwara, Tsuyoshi; Sasaki, Toru
11
2010
Analysis of a tuberculosis model with a case study in Uganda. Zbl 1403.92286
Buonomo, Bruno; Lacitignola, Deborah
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
A sharp threshold for disease persistence in host metapopulations. Zbl 1284.92100
Dhirasakdanon, Thanate; Thieme, Horst R.; van den Driessche, Pauline
10
2007
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.
10
2009
Malaria model with periodic mosquito birth and death rates. Zbl 1342.92232
Dembele, Bassidy; Friedman, Avner; Yakubu, Abdul-Aziz
10
2009
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.
10
2009
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
Backward bifurcation, oscillations and chaos in an eco-epidemiological model with fear effect. Zbl 1447.92474
Sha, Amar; Samanta, Sudip; Martcheva, Maia; Chattopadhyay, Joydev
10
2019
Dynamic reduction with applications to mathematical biology and other areas. Zbl 1284.39009
Sacker, Robert J.; von Bremen, Hubertus F.
9
2007
Mathematical aspects of physiologically structured populations: The contributions of J. A. J. Metz. Zbl 1255.01017
Gyllenberg, Mats
9
2007
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.
9
2011
Scale transition theory with special reference to species coexistence in a variable environment. Zbl 1342.92162
Chesson, Peter
9
2009
A note on the nonautonomous delay Beverton-Holt model. Zbl 1345.92118
Kocic, V. L.
9
2010
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
Discrete three-stage population model: persistence and global stability results. Zbl 1315.92057
Ackleh, Azmy S.; De Leenheer, Patrick
9
2008
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.
9
2010
Two-sex mosquito model for the persistence of Wolbachia. Zbl 1447.92493
Xue, Ling; Manore, Carrie A.; Thongsripong, Panpim; Hyman, James M.
9
2017
Modelling cholera in periodic environments. Zbl 1448.92330
Posny, Drew; Wang, Jin
9
2014
Spatiotemporal dynamics of two generic predator-prey models. Zbl 1403.92245
Garvie, Marcus R.; Trenchea, C.
8
2010
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.
8
2007
A model for Chagas disease with controlled spraying. Zbl 1219.92056
Spagnuolo, Anna Maria; Shillor, Meir; Stryker, Gabrielle A.
8
2011
Global stability of pathogen-immune dynamics with absorption. Zbl 1342.92111
Kajiwara, Tsuyoshi; Sasaki, Toru
8
2010
Evolution of cross-diffusion and self-diffusion. Zbl 1342.92189
Lou, Yuan; Martínez, Salome
8
2009
A multi-scale model of erythropoiesis. Zbl 1315.92018
Demin, I.; Crauste, F.; Gandrillon, O.; Volpert, V.
8
2010
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.
8
2020
On several conjectures from evolution of dispersal. Zbl 1444.92132
Averill, Isabel; Lou, Yuan; Munther, Dan
8
2012
Evolutionary stability of ideal free nonlocal dispersal. Zbl 1447.92275
Cosner, Chris; Dávila, Juan; Martínez, Salomé
8
2012
A monotone approximation for a size-structured population model with a generalized environment. Zbl 1284.92077
Ackleh, Azmy S.; Deng, Keng; Thibodeaux, Jeremy J.
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
Modelling of transgenic mosquitoes and impact on malaria transmission. Zbl 1225.92033
Li, Jia
7
2011
Use of optimal control models to predict treatment time for managing tick-borne disease. Zbl 1225.92031
Gaff, Holly D.; Schaefer, Elsa; Lenhart, Suzanne
7
2011
Coexistence of competing juvenile-adult structured populations. Zbl 1122.92064
Cushing, J. M.; Henson, Shandelle M.; Roeger, Lih-Ing
7
2007
The global dynamics of a discrete juvenile-adult model with continuous and seasonal reproduction. Zbl 1342.92153
Ackleh, Azmy S.; Chiquet, Ross A.
7
2009
Age of infection epidemic models with heterogeneous mixing. Zbl 1342.92228
Brauer, Fred; Watmough, James
7
2009
The Beverton-Holt model with periodic and conditional harvesting. Zbl 1342.91025
AlSharawi, Ziyad; Rhouma, Mohamed B. H.
7
2009
Synchrony in tritrophic food chain metacommunities. Zbl 1342.92158
Belykh, Igor; Piccardi, Carlo; Rinaldi, Sergio
7
2009
Association between competition and obligate mutualism in a chemostat. Zbl 1315.92059
El Hajji, Miled; Harmand, Jérôme; Chaker, Hédia; Lobry, Claude
7
2009
Stability of a binge drinking model with delay. Zbl 1447.92430
Huo, Hai-Feng; Chen, Yong-Lan; Xiang, Hong
7
2017
Using an age-structured COVID-19 epidemic model and data to model virulence evolution in Wuhan, China. Zbl 1484.92106
Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia; Yuan, Sanling
1
2022
A stochastic predator-prey model with Holling II increasing function in the predator. Zbl 1490.92048
Huang, Youlin; Shi, Wanying; Wei, Chunjin; Zhang, Shuwen
2
2021
Effects of social-distancing on infectious disease dynamics: an evolutionary game theory and economic perspective. Zbl 1484.92124
Martcheva, Maia; Tuncer, Necibe; Ngonghala, Calistus N.
2
2021
Threshold dynamics of a HCV model with virus to cell transmission in both liver with CTL immune response and the extrahepatic tissue. Zbl 1489.92157
Hu, Xinli; Li, Jianquan; Feng, Xiaomei
1
2021
Complexity of host-vector dynamics in a two-strain dengue model. Zbl 1490.92114
Rashkov, Peter; Kooi, Bob W.
1
2021
A continuous-time mathematical model and discrete approximations for the aggregation of \(\beta \)-amyloid. Zbl 1484.92018
Ackleh, Azmy S.; Elaydi, Saber; Livadiotis, George; Veprauskas, Amy
1
2021
Stability and bifurcation analysis of an HIV-1 infection model with a general incidence and CTL immune response. Zbl 1484.92125
Ma, Xinsheng; Zhang, Yuhuai; Chen, Yuming
1
2021
Delay in budget allocation for vaccination and awareness induces chaos in an infectious disease model. Zbl 1484.92060
Misra, Arvind Kumar; Rai, Rajanish Kumar; Tiwari, Pankaj Kumar; Martcheva, Maia
1
2021
A delay non-autonomous model for the combined effects of fear, prey refuge and additional food for predator. Zbl 1484.92081
Sk, Nazmul; Tiwari, Pankaj Kumar; Pal, Samares; Martcheva, Maia
1
2021
A stage-structured population model for activity-dependent dendritic spines. Zbl 07484798
Rouhani, Morteza; Baer, Steven M.; Crook, Sharon M.
1
2021
Game theoretic modelling of infectious disease dynamics and intervention methods: a review. Zbl 1447.92405
Chang, Sheryl L.; Piraveenan, Mahendra; Pattison, Philippa; Prokopenko, Mikhail
15
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.
8
2020
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.
6
2020
Impulsive releases of sterile mosquitoes and interactive dynamics with time delay. Zbl 1448.92218
Li, Jia; Ai, Shangbing
6
2020
The role of asymptomatic class, quarantine and isolation in the transmission of COVID-19. Zbl 1447.92387
Ali, Mohsin; Shah, Syed Touqeer H.; Imran, Mudassar; Khan, Adnan
4
2020
Stability analysis in a mosquito population suppression model. Zbl 1447.92349
Lin, Genghong; Hui, Yuanxian
4
2020
Optimal control strategies for the transmission risk of COVID-19. Zbl 1447.92465
Obsu, Legesse Lemecha; Balcha, Shiferaw Feyissa
4
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
2
2020
Backward bifurcation in a malaria transmission model. Zbl 1447.92492
Xing, Yanyuan; Guo, Zhiming; Liu, Jian
2
2020
Global stability of the boundary solution of a nonautonomous predator-prey system with Beddington-DeAngelis functional response. Zbl 1448.92166
Bai, Dingyong; Li, Jinshui; Zeng, Wenrui
2
2020
A Wolbachia infection model with free boundary. Zbl 1447.92447
Liu, Yunfeng; Guo, Zhiming; El Smaily, Mohammad; Wang, Lin
2
2020
A Lyapunov-Schmidt method for detecting backward bifurcation in age-structured population models. Zbl 1447.92450
Martcheva, Maia; Inaba, Hisashi
2
2020
Bistable wave speed of the Lotka-Volterra competition model. Zbl 1448.92230
Ma, Manjun; Zhang, Qiming; Yue, Jiajun; Ou, Chunhua
2
2020
Coinfection dynamics of heroin transmission and HIV infection in a single population. Zbl 1447.92415
Duan, Xi-Chao; Li, Xue-Zhi; Martcheva, Maia
1
2020
A generalized within-host model of dengue infection with a non-constant monocyte production rate. Zbl 1447.92477
Thibodeaux, Jeremy J.; Nuñez, Daniel; Rivera, Andres
1
2020
Balance simplices of 3-species May-Leonard systems. Zbl 1448.92167
Baigent, Stephen; Ching, Atheeta
1
2020
Dynamical analysis on a predator-prey model with stage structure and mutual interference. Zbl 1447.92382
Zhang, Xinzhe; Huang, Gang; Dong, Yueping
1
2020
The competition model with Holling type II competitive response to interfering time. Zbl 1448.92181
Castillo-Alvino, Hamlet; Marvá, Marcos
1
2020
Global stability analysis for a model with carriers and non-linear incidence rate. Zbl 1448.92282
Cerón Gómez, Miller; Ibarguen Mondragon, Eduardo; Lopez Molano, Patricia
1
2020
Chaotic attractors in Atkinson-Allen model of four competing species. Zbl 1447.92340
Gyllenberg, Mats; Jiang, Jifa; Niu, Lei
1
2020
Discrete evolutionary population models: a new approach. Zbl 1442.92106
Mokni, Karima; Elaydi, Saber; Ch-Chaoui, Mohamed; Eladdadi, Amina
1
2020
Dynamics of interactive wild and sterile mosquitoes with time delay. Zbl 1448.92260
Yu, Jianshe; Li, Jia
19
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
10
2019
Difference equations as models of evolutionary population dynamics. Zbl 1447.92333
Cushing, J. M.
7
2019
A simplified stochastic optimization model for logistic dynamics with control-dependent carrying capacity. Zbl 1448.92388
Yoshioka, Hidekazu
5
2019
Influence of non-homogeneous mixing on final epidemic size in a meta-population model. Zbl 1447.92410
Cui, Jingan; Zhang, Yanan; Feng, Zhilan
5
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.
5
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
4
2019
Optimal control of a delayed smoking model with immigration. Zbl 1447.92476
Sun, Caixia; Jia, Jianwen
4
2019
Methods for deriving necessary and sufficient conditions for backward bifurcation. Zbl 1447.92449
Martcheva, Maia
4
2019
Weather-driven malaria transmission model with gonotrophic and sporogonic cycles. Zbl 1447.92466
Okuneye, Kamaldeen; Eikenberry, Steffen E.; Gumel, Abba B.
4
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
3
2019
A stochastic model for the transmission dynamics of hepatitis B virus. Zbl 1448.92309
Khan, Tahir; Jung, Ii Hyo; Zaman, Gul
3
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
3
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
3
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
3
2019
Modeling the seasonality of Methicillin-resistant Staphylococcus aureus infections in hospitals with environmental contamination. Zbl 1447.92429
Huang, Qimin; Huo, Xi; Miller, Darlene; Ruan, Shigui
3
2019
Dynamical behaviour of a Lotka-Volterra competitive-competitive-cooperative model with feedback controls and time delays. Zbl 1447.92545
Wang, Changyou; Li, Linrui; Zhang, Qiuyan; Li, Rui
2
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
2
2019
Early estimates of epidemic final sizes. Zbl 1447.92399
Brauer, Fred
2
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.
2
2019
Demographic population cycles and \(\mathcal{R}_0\) in discrete-time epidemic models. Zbl 1447.92481
van den Driessche, P.; Yakubu, Abdul-Aziz
2
2019
Cooperative hunting in a discrete predator-prey system. II. Zbl 1441.92031
Chow, Yunshyong; Jang, Sophia R.-J.; Wang, Hua-Ming
2
2019
Dengue transmission: mathematical model with discrete time delays and estimation of the reproduction number. Zbl 1447.92489
Wu, Chunqing; Wong, Patricia J. Y.
1
2019
Consumer-resource coexistence as a means of reducing infectious disease. Zbl 1447.92416
Duffy, Kevin J.; Collins, Obiora C.
1
2019
Modelling the dynamics of direct and pathogens-induced dysentery diarrhoea epidemic with controls. Zbl 1447.92398
Berhe, Hailay Weldegiorgis; Makinde, Oluwole Daniel; Theuri, David Mwangi
1
2019
Oscillatory regimes in a mosquito population model with larval feedback on egg hatching. Zbl 1448.92251
Strugarek, Martin; Dufour, Laetitia; Vauchelet, Nicolas; Almeida, Luis; Perthame, Benoît; Villela, Daniel A. M.
1
2019
On hybrid stochastic population models with impulsive perturbations. Zbl 1448.92198
Hu, Guixin; Tian, Kuanhou
1
2019
Bifurcation analysis for a delayed SEIR epidemic model with saturated incidence and saturated treatment function. Zbl 1447.92445
Liu, Juan
1
2019
A model of insect control with imperfect treatment. Zbl 1447.92225
Oduro, Bismark; Grijalva, Mario J.; Just, Winfried
1
2019
Epidemic dynamics with a time-varying susceptibility due to repeated infections. Zbl 1447.92461
Nakata, Yukihiko; Omori, Ryosuke
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
Contributions to nonstationary community theory. Zbl 1447.92330
Chesson, Peter
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
12
2018
Periodic solution of a stochastic SIRS epidemic model with seasonal variation. Zbl 1447.92437
Jin, Manli; Lin, Yuguo
7
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
7
2018
A mathematical model of malaria transmission in a periodic environment. Zbl 1448.92275
Bakary, Traoré; Boureima, Sangaré; Sado, Traoré
6
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
5
2018
Homogenization techniques for population dynamics in strongly heterogeneous landscapes. Zbl 1447.92547
Yurk, Brian P.; Cobbold, Christina A.
4
2018
Dynamics of populations with individual variation in dispersal on bounded domains. Zbl 1447.92329
Cantrell, Robert Stephen; Cosner, Chris; Yu, Xiao
4
2018
Epidemic models with heterogeneous mixing and indirect transmission. Zbl 1447.92412
David, Jummy Funke
4
2018
Characterization of Wolbachia enhancing domain in mosquitoes with imperfect maternal transmission. Zbl 1447.92501
Zheng, Bo; Yu, Jianshe
4
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.
4
2018
Global stability with selection in integro-differential Lotka-Volterra systems modelling trait-structured populations. Zbl 1447.92360
Pouchol, Camille; Trélat, Emmanuel
4
2018
Backward bifurcation and oscillations in a nested immuno-eco-epidemiological model. Zbl 1447.92396
Barfield, Michael; Martcheva, Maia; Tuncer, Necibe; Holt, Robert D.
3
2018
A mathematical model of tumour growth with Beddington-DeAngelis functional response: a case of cancer without disease. Zbl 1448.92106
Wei, Hsiu-Chuan
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.
3
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
3
2018
Dengue in the Philippines: model and analysis of parameters affecting transmission. Zbl 1447.92414
de los Reyes, Aurelio A. V; Escaner, Jose Maria L. IV
3
2018
Efficacy of control measures in the control of Ebola, Liberia 2014–2015. Zbl 1447.92479
Tuncer, Necibe; Mohanakumar, Chindu; Swanson, Samuel; Martcheva, Maia
3
2018
Discrete stochastic analogs of Erlang epidemic models. Zbl 1447.92423
Getz, Wayne M.; Dougherty, Eric R.
2
2018
Global dynamics of an epidemiological model with age of infection and disease relapse. Zbl 1447.92494
Xu, Rui
2
2018
Dynamics of malaria transmission model with sterile mosquitoes. Zbl 1448.92363
Yin, Hongyan; Yang, Cuihong; Zhang, Xin’an; Li, Jia
2
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
2
2018
Asynchronous exponential growth for a two-phase size-structured population model and comparison with the corresponding one-phase model. Zbl 1448.92168
Bai, Meng; Xu, Shihe
2
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
2
2018
Bifurcation analysis of an age-structured alcoholism model. Zbl 1447.92425
Guo, Zhong-Kai; Huo, Hai-Feng; Xiang, Hong
2
2018
A delayed HIV infection model with apoptosis and viral loss. Zbl 1448.92065
Sahani, Saroj Kumar; Yashi
2
2018
Singular stochastic control model for algae growth management in dam downstream. Zbl 1448.92389
Yoshioka, Hidekazu; Yaegashi, Yuta
1
2018
Hierarchical competition models with the Allee effect. III: Multispecies. Zbl 1448.92190
Elaydi, S.; Kwessi, E.; Livadiotis, G.
1
2018
A comparative study of integrated pest management strategies based on impulsive control. Zbl 1447.92558
Páez Chávez, Joseph; Jungmann, Dirk; Siegmund, Stefan
1
2018
Global exponential stability of positive periodic solution of the \(n\)-species impulsive Gilpin-Ayala competition model with discrete and distributed time delays. Zbl 1448.92263
Zhao, Kaihong
1
2018
An SIR pairwise epidemic model with infection age and demography. Zbl 1447.92436
Jing, Wenjun; Jin, Zhen; Zhang, Juping
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
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
Stochastic differential game for management of non-renewable fishery resource under model ambiguity. Zbl 1445.91037
Yoshioka, Hidekazu; Yaegashi, Yuta
1
2018
Combination of singularly perturbed vector field method and method of directly defining the inverse mapping applied to complex ODE system prostate cancer model. Zbl 1447.92204
Nave, Ophir; Elbaz, Miriam
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
23
2017
The transmission dynamic and optimal control of acute and chronic hepatitis B. Zbl 1447.92438
Khan, Tahir; Zaman, Gul; Chohan, M. Ikhlaq
21
2017
...and 285 more Documents
all top 5

Cited by 3,234 Authors

21 Ackleh, Azmy S.
20 Banks, Harvey Thomas
18 Cushing, Jim M.
18 Jang, Sophia R.-J.
18 Kang, Yun
17 Elaydi, Saber Nasr
17 Huo, Hai-Feng
17 Wang, Hao
16 Li, Jia
16 Lou, Yuan
15 Kuang, Yang
15 Martcheva, Maia
15 Ruan, Shigui
15 Yu, Jian-She
14 Gyllenberg, Mats
14 Schreiber, Sebastian J.
13 Jin, Zhen
13 Teng, Zhi-dong
12 Gumel, Abba B.
12 Jiang, Daqing
12 Rong, Libin
12 Sari, Tewfik
12 Yakubu, Abdul-Aziz
11 Allen, Linda J. S.
11 Cosner, Chris
11 Elaiw, Ahmed M.
11 Kengne, Jacques
11 Peace, Angela
11 Thieme, Horst R.
11 Xiang, Hong
11 Yuan, Sanling
11 Zaman, Gul
10 Chattopadhyay, Joydev
10 Jiang, Jifa
10 Metz, Johan A. Jacob
10 Niu, Lei
10 Sun, Guiquan
9 Hilker, Frank M.
9 Lam, King-Yeung
9 Parvinen, Kalle
9 Qiu, Zhipeng
9 Takeuchi, Yasuhiro
9 Tiwari, Pankaj Kumar
9 Wang, Jin
9 Wang, Jinfeng
9 Wang, Xueying
9 Zhang, Juan
8 Cantrell, Robert Stephen
8 Castillo-Chavez, Carlos
8 Din, Qamar
8 Fekih-Salem, Radhouane
8 Flores, Kevin B.
8 Hening, Alexandru
8 Lewis, Mark Alun
8 Li, Zuxiong
8 Livadiotis, George
8 Luís, Rafael
8 Macías-Díaz, Jorge Eduardo
8 Nie, Hua
8 Sacker, Robert J.
8 Samanta, Sudip K.
8 Xu, Rui
8 Young, Todd R.
8 Zhang, Tonghua
8 Zou, Xingfu
7 Agusto, Folashade B.
7 Ali, Nigar
7 Diekmann, Odo
7 Fan, Meng
7 Klebaner, Fima C.
7 Kwessi, Eddy A.
7 Lubuma, Jean Mbaro-Saman
7 Lutscher, Frithjof
7 Misra, Arvind Kumar
7 Nguyen, Dang Hai
7 Ngwa, Gideon Akumah
7 Song, Xinyu
7 Teboh-Ewungkem, Miranda I.
7 Tridane, Abdessamad
7 Tuncer, Necibe
7 Wang, Jinliang
7 Wu, Jianhong
7 Yang, Junyuan
7 Zhao, Hongyong
6 Allen, Edward James
6 Alshamrani, Noura H.
6 Alsharawi, Ziyad
6 Arenas, Abraham J.
6 Assas, Laila M. B.
6 Baigent, Stephen A.
6 Chen, Yuming
6 Chow, Yunshyong
6 Farkas, József Zoltán
6 Feng, Zhilan
6 González-Parra, Gilberto C.
6 Grognard, Frédéric
6 Hadeler, Karl-Peter
6 Henson, Shandelle Marie
6 Huang, Mingzhan
6 Jornet, Marc
...and 3,134 more Authors
all top 5

Cited in 232 Journals

119 Journal of Biological Dynamics
115 Journal of Mathematical Biology
108 Mathematical Biosciences and Engineering
99 Bulletin of Mathematical Biology
94 Journal of Theoretical Biology
83 Discrete and Continuous Dynamical Systems. Series B
67 Mathematical Biosciences
66 Journal of Difference Equations and Applications
62 Chaos, Solitons and Fractals
60 International Journal of Biomathematics
50 Advances in Difference Equations
48 Physica A
46 Applied Mathematics and Computation
44 Nonlinear Analysis. Real World Applications
42 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
37 Journal of Biological Systems
35 Journal of Mathematical Analysis and Applications
27 Mathematics and Computers in Simulation
25 Journal of Differential Equations
25 Applied Mathematics Letters
25 Mathematical Modelling of Natural Phenomena
24 Theoretical Population Biology
24 Communications in Nonlinear Science and Numerical Simulation
20 Discrete Dynamics in Nature and Society
16 Computers & Mathematics with Applications
16 Journal of Applied Mathematics and Computing
15 Nonlinear Dynamics
15 SIAM Journal on Applied Dynamical Systems
14 Applied Mathematical Modelling
14 International Journal of Applied and Computational Mathematics
13 SIAM Journal on Applied Mathematics
12 Journal of Dynamics and Differential Equations
12 Fractals
12 Complexity
10 Mathematical Methods in the Applied Sciences
10 Journal of Computational and Applied Mathematics
10 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
10 Computational and Applied Mathematics
10 Abstract and Applied Analysis
10 Journal of Applied Mathematics
9 Discrete and Continuous Dynamical Systems
9 Differential Equations and Dynamical Systems
8 Acta Applicandae Mathematicae
8 Journal of Applied Nonlinear Dynamics
8 AIMS Mathematics
7 Journal of the Franklin Institute
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
7 Ricerche di Matematica
7 Chaos
7 Qualitative Theory of Dynamical Systems
6 Mathematical and Computer Modelling
6 The Annals of Applied Probability
6 SIAM Journal on Mathematical Analysis
6 Nonlinear Analysis. Modelling and Control
6 Computational & Mathematical Methods in Medicine
6 Discrete and Continuous Dynamical Systems. Series S
6 International Journal of Differential Equations
6 Journal of Applied Analysis and Computation
5 Applicable Analysis
5 Stochastic Analysis and Applications
5 Journal of Nonlinear Science
5 Mathematical Problems in Engineering
5 Mathematical Population Studies
5 Dynamic Games and Applications
4 Advances in Applied Probability
4 International Journal of Control
4 Nonlinearity
4 Proceedings of the American Mathematical Society
4 Physica D
4 Numerical Methods for Partial Differential Equations
4 International Journal of Computer Mathematics
4 Filomat
4 Boundary Value Problems
4 Journal of Mathematics
4 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
3 International Journal of Mathematics and Mathematical Sciences
3 SIAM Journal on Control and Optimization
3 Computational Mechanics
3 Electronic Journal of Differential Equations (EJDE)
3 Journal of Inequalities and Applications
3 Stochastic Models
3 Communications on Pure and Applied Analysis
3 Inverse Problems in Science and Engineering
3 Differential Equations and Applications
3 Journal of Function Spaces
2 International Journal of Mathematical Education in Science and Technology
2 Journal of Computational Physics
2 Physics Letters. A
2 Physics Reports
2 Numerical Functional Analysis and Optimization
2 Systems & Control Letters
2 Acta Mathematicae Applicatae Sinica. English Series
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 the Egyptian Mathematical Society
2 Georgian Mathematical Journal
2 Journal of Inverse and Ill-Posed Problems
2 Journal of Mathematical Chemistry
...and 132 more Journals
all top 5

Cited in 47 Fields

1,726 Biology and other natural sciences (92-XX)
657 Ordinary differential equations (34-XX)
354 Partial differential equations (35-XX)
303 Dynamical systems and ergodic theory (37-XX)
154 Difference and functional equations (39-XX)
144 Probability theory and stochastic processes (60-XX)
133 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
131 Numerical analysis (65-XX)
80 Calculus of variations and optimal control; optimization (49-XX)
72 Systems theory; control (93-XX)
49 Statistical mechanics, structure of matter (82-XX)
33 Operator theory (47-XX)
30 Integral equations (45-XX)
29 Statistics (62-XX)
16 Operations research, mathematical programming (90-XX)
15 Real functions (26-XX)
14 Information and communication theory, circuits (94-XX)
11 Combinatorics (05-XX)
11 Fluid mechanics (76-XX)
10 Computer science (68-XX)
6 Mechanics of deformable solids (74-XX)
5 Linear and multilinear algebra; matrix theory (15-XX)
3 History and biography (01-XX)
3 Mathematical logic and foundations (03-XX)
3 Functional analysis (46-XX)
3 Mechanics of particles and systems (70-XX)
3 Geophysics (86-XX)
3 Mathematics education (97-XX)
2 Field theory and polynomials (12-XX)
2 Commutative algebra (13-XX)
2 \(K\)-theory (19-XX)
2 Measure and integration (28-XX)
2 Differential geometry (53-XX)
2 Manifolds and cell complexes (57-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Optics, electromagnetic theory (78-XX)
2 Classical thermodynamics, heat transfer (80-XX)
1 General and overarching topics; collections (00-XX)
1 Algebraic geometry (14-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Integral transforms, operational calculus (44-XX)
1 Convex and discrete geometry (52-XX)

Citations by Year