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Author ID: watmough.james Recent zbMATH articles by "Watmough, James"
Published as: Watmough, James; Watmough, J.

Publications by Year

Citations contained in zbMATH Open

21 Publications have been cited 4,018 times in 3,658 Documents Cited by Year
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Zbl 1015.92036
van den Driessche, P.; Watmough, James
2002
A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029
van den Driessche, P.; Watmough, James
152
2000
Global stability of a nonlinear viral infection model with infinitely distributed intracellular delays and CTL immune responses. Zbl 1272.92031
Shu, Hongying; Wang, Lin; Watmough, James
117
2013
Further notes on the basic reproduction number. Zbl 1206.92038
van den Driessche, P.; Watmough, James
105
2008
Role of incidence function in vaccine-induced backward bifurcation in some HIV models. Zbl 1134.92026
Sharomi, O.; Podder, C. N.; Gumel, A. B.; Elbasha, E. H.; Watmough, James
80
2007
An SVEIR model for assessing potential impact of an imperfect anti-SARS vaccine. Zbl 1092.92039
Gumel, A. B.; McCluskey, C. Connell; Watmough, James
61
2006
A final size relation for epidemic models. Zbl 1123.92030
Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong
55
2007
A model for influenza with vaccination and antiviral treatment. Zbl 1398.92147
Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong
53
2008
Delay induced stability switch, multitype bistability and chaos in an intraguild predation model. Zbl 1355.92097
Shu, Hongying; Hu, Xi; Wang, Lin; Watmough, James
46
2015
Sustained and transient oscillations and chaos induced by delayed antiviral immune response in an immunosuppressive infection model. Zbl 1280.92027
Shu, Hongying; Wang, Lin; Watmough, James
30
2014
Do travelling band solutions describe cohesive swarms? An investigation for migratory locusts. Zbl 1002.92562
Edelstein-Keshet, Leah; Watmough, James; Grunbaum, Daniel
26
1998
A one-dimensional model of trail propagation by army ants. Zbl 0818.92027
Watmough, James; Edelstein-Keshet, Leah
13
1995
Age of infection epidemic models with heterogeneous mixing. Zbl 1342.92228
Brauer, Fred; Watmough, James
11
2009
Epidemic solutions and endemic catastrophies. Zbl 1162.92325
van den Driessche, P.; Watmough, James
9
2003
Examination of a simple model of condom usage and individual withdrawal for the HIV epidemic. Zbl 1167.92029
Musgrave, Jeff; Watmough, James
6
2009
Bifurcation analysis and transient spatio-temporal dynamics for a diffusive plant-herbivore system with Dirichlet boundary conditions. Zbl 1329.35054
Wang, Lin; Watmough, James; Yu, Fang
4
2015
Transient spatio-temporal dynamics of a diffusive plant-herbivore system with Neumann boundary conditions. Zbl 1448.92259
Yu, Fang; Wang, Lin; Watmough, James
2
2016
Pandemic influenza: modelling and public health perspectives. Zbl 1260.92046
Arino, Julien; Bauch, Chris; Brauer, Fred; Driedger, S. Michelle; Greer, Amy L.; Moghadas, S. M.; Pizzi, Nick J.; Sander, Beate; Tuite, Ashleigh; Van den Driessche, P.; Watmough, James; Wu, Jianhong; Yan, Ping
2
2011
Current trends in mathematical epidemiology. Zbl 1428.00051
1
2019
Evaluating the risk of reopening the border: a case study of Ontario (Canada) to New York (USA) using mathematical modeling. Zbl 1497.92323
Yuan, Pei; Aruffo, Elena; Li, Qi; Li, Juan; Tan, Yi; Zheng, Tingting; David, Jummy; Ogden, Nick; Gatov, Evgenia; Gournis, Effie; Collier, Sarah; Sander, Beate; Fan, Guihong; Heffernan, Jane M.; Li, Jun; Kong, Jude Dzevela; Arino, Julien; Bélair, Jacques; Watmough, James; Zhu, Huaiping
1
2022
Pandemic modelling for regions implementing an elimination strategy. Zbl 1507.92095
Hurford, Amy; Martignoni, Maria M.; Loredo-Osti, J. Concepción; Anokye, Francis; Arino, Julien; Husain, Bilal Saleh; Gaas, Brian; Watmough, James
1
2023
Pandemic modelling for regions implementing an elimination strategy. Zbl 1507.92095
Hurford, Amy; Martignoni, Maria M.; Loredo-Osti, J. Concepción; Anokye, Francis; Arino, Julien; Husain, Bilal Saleh; Gaas, Brian; Watmough, James
1
2023
Evaluating the risk of reopening the border: a case study of Ontario (Canada) to New York (USA) using mathematical modeling. Zbl 1497.92323
Yuan, Pei; Aruffo, Elena; Li, Qi; Li, Juan; Tan, Yi; Zheng, Tingting; David, Jummy; Ogden, Nick; Gatov, Evgenia; Gournis, Effie; Collier, Sarah; Sander, Beate; Fan, Guihong; Heffernan, Jane M.; Li, Jun; Kong, Jude Dzevela; Arino, Julien; Bélair, Jacques; Watmough, James; Zhu, Huaiping
1
2022
Current trends in mathematical epidemiology. Zbl 1428.00051
1
2019
Transient spatio-temporal dynamics of a diffusive plant-herbivore system with Neumann boundary conditions. Zbl 1448.92259
Yu, Fang; Wang, Lin; Watmough, James
2
2016
Delay induced stability switch, multitype bistability and chaos in an intraguild predation model. Zbl 1355.92097
Shu, Hongying; Hu, Xi; Wang, Lin; Watmough, James
46
2015
Bifurcation analysis and transient spatio-temporal dynamics for a diffusive plant-herbivore system with Dirichlet boundary conditions. Zbl 1329.35054
Wang, Lin; Watmough, James; Yu, Fang
4
2015
Sustained and transient oscillations and chaos induced by delayed antiviral immune response in an immunosuppressive infection model. Zbl 1280.92027
Shu, Hongying; Wang, Lin; Watmough, James
30
2014
Global stability of a nonlinear viral infection model with infinitely distributed intracellular delays and CTL immune responses. Zbl 1272.92031
Shu, Hongying; Wang, Lin; Watmough, James
117
2013
Pandemic influenza: modelling and public health perspectives. Zbl 1260.92046
Arino, Julien; Bauch, Chris; Brauer, Fred; Driedger, S. Michelle; Greer, Amy L.; Moghadas, S. M.; Pizzi, Nick J.; Sander, Beate; Tuite, Ashleigh; Van den Driessche, P.; Watmough, James; Wu, Jianhong; Yan, Ping
2
2011
Age of infection epidemic models with heterogeneous mixing. Zbl 1342.92228
Brauer, Fred; Watmough, James
11
2009
Examination of a simple model of condom usage and individual withdrawal for the HIV epidemic. Zbl 1167.92029
Musgrave, Jeff; Watmough, James
6
2009
Further notes on the basic reproduction number. Zbl 1206.92038
van den Driessche, P.; Watmough, James
105
2008
A model for influenza with vaccination and antiviral treatment. Zbl 1398.92147
Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong
53
2008
Role of incidence function in vaccine-induced backward bifurcation in some HIV models. Zbl 1134.92026
Sharomi, O.; Podder, C. N.; Gumel, A. B.; Elbasha, E. H.; Watmough, James
80
2007
A final size relation for epidemic models. Zbl 1123.92030
Arino, Julien; Brauer, Fred; van den Driessche, P.; Watmough, James; Wu, Jianhong
55
2007
An SVEIR model for assessing potential impact of an imperfect anti-SARS vaccine. Zbl 1092.92039
Gumel, A. B.; McCluskey, C. Connell; Watmough, James
61
2006
Epidemic solutions and endemic catastrophies. Zbl 1162.92325
van den Driessche, P.; Watmough, James
9
2003
Reproduction numbers and sub-threshold endemic equilibria for compartmental models of disease transmission. Zbl 1015.92036
van den Driessche, P.; Watmough, James
2002
A simple SIS epidemic model with a backward bifurcation. Zbl 0961.92029
van den Driessche, P.; Watmough, James
152
2000
Do travelling band solutions describe cohesive swarms? An investigation for migratory locusts. Zbl 1002.92562
Edelstein-Keshet, Leah; Watmough, James; Grunbaum, Daniel
26
1998
A one-dimensional model of trail propagation by army ants. Zbl 0818.92027
Watmough, James; Edelstein-Keshet, Leah
13
1995
all top 5

Cited by 4,810 Authors

65 Gumel, Abba B.
55 Jin, Zhen
44 Khan, Muhammad Altaf
43 Elaiw, Ahmed M.
42 Wu, Jianhong
41 van den Driessche, Pauline
39 Huo, Hai-Feng
39 Ruan, Shigui
38 Zhu, Huaiping
37 Xiao, Yanni
36 Mushayabasa, Steady
34 Cui, Jingan
34 Wang, Jin
33 Li, Xuezhi
32 Bowong, Samuel
32 Teng, Zhi-dong
31 Bhunu, Claver Pedzisai
31 Qiu, Zhipeng
30 Nyabadza, Farai
30 Wang, Wendi
28 Wang, Lin
27 Allen, Linda J. S.
26 Martcheva, Maia
25 Wang, Jinliang
24 Xu, Rui
23 Gao, Daozhou
23 Ghosh, Mini
23 Lubuma, Jean Mbaro-Saman
22 Kuniya, Toshikazu
22 Rong, Libin
22 Tchuenche, Jean Michel
22 Zhao, Xiao-Qiang
22 Zhou, Yicang
21 Lenhart, Suzanne M.
21 Luboobi, Livingstone Serwadda
21 Mukandavire, Zindoga
21 Okuonghae, Daniel
21 Xiang, Hong
20 Cao, Jinde
20 Mugisha, Joseph Y. T.
20 Shu, Hongying
20 Smith?, Stacey R.
20 Sun, Guiquan
20 Zou, Xingfu
19 Cai, Liming
19 Chen, Yuming
19 Misra, Arvind Kumar
19 Pinto, Carla M. A.
19 Wang, Xueying
19 Wang, Yi
18 Agusto, Folashade B.
18 Feng, Zhilan
18 Li, Jianquan
18 Li, Michael Yi
18 Liu, Shengqiang
18 Liu, Xianning
18 Makinde, Oluwole Daniel
18 Vaidya, Naveen K.
17 Buonomo, Bruno
17 Chattopadhyay, Joydev
17 Garira, Winston S.
17 Lin, Zhigui
17 Liu, Maoxing
17 Ma, Wanbiao
17 Ngonghala, Calistus N.
17 Tang, Sanyi
17 Tiwari, Pankaj Kumar
17 Torres, Delfim Fernando Marado
17 Xue, Ling
17 Yang, Junyuan
17 Zhang, Fengqin
16 Alshamrani, Noura H.
16 Cai, Yongli
16 He, Daihai
16 Ma, Junling
16 Okosun, Kazeem Oare
16 Sharomi, Oluwaseun Y.
16 Shuai, Zhisheng
16 Takeuchi, Yasuhiro
16 Tsanou, Berge
16 Wang, Hao
16 Wang, Weiming
16 Zhang, Tailei
15 Wang, Feng-Bin
15 Wang, Kai
15 Wang, Kaifa
15 Wang, Lianwen
15 Wang, Xiangsheng
15 Zhang, Juping
14 Băleanu, Dumitru I.
14 Carvalho, Ana R. M.
14 Hove-Musekwa, Senelani Dorothy
14 Lou, Yijun
14 Srivastava, Prashant Kr.
14 Wang, Xia
14 Zhao, Hongyong
13 Castillo-Chavez, Carlos
13 Fu, Xinchu
13 Garba, Salisu M.
13 Guo, Songbai
...and 4,710 more Authors
all top 5

Cited in 267 Serials

210 Mathematical Biosciences and Engineering
179 Bulletin of Mathematical Biology
170 Mathematical Biosciences
164 Journal of Theoretical Biology
151 Mathematical Methods in the Applied Sciences
147 International Journal of Biomathematics
145 Journal of Mathematical Biology
125 Applied Mathematics and Computation
123 Journal of Biological Dynamics
108 Advances in Difference Equations
106 Chaos, Solitons and Fractals
97 Physica A
95 Discrete and Continuous Dynamical Systems. Series B
94 Journal of Biological Systems
71 Applied Mathematical Modelling
71 Communications in Nonlinear Science and Numerical Simulation
65 Mathematics and Computers in Simulation
63 Nonlinear Analysis. Real World Applications
57 Journal of Mathematical Analysis and Applications
51 Journal of Applied Mathematics and Computing
48 Computational & Mathematical Methods in Medicine
44 Discrete Dynamics in Nature and Society
42 Journal of Applied Mathematics
41 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
34 Abstract and Applied Analysis
32 Computational and Applied Mathematics
28 Journal of Applied Analysis and Computation
27 Nonlinear Dynamics
27 International Journal of Applied and Computational Mathematics
25 Chaos
25 Mathematical Modelling of Natural Phenomena
24 Journal of Differential Equations
24 SIAM Journal on Applied Mathematics
23 Journal of Computational and Applied Mathematics
23 Applied Mathematics Letters
23 Differential Equations and Dynamical Systems
19 Computational and Mathematical Biophysics
18 Computers & Mathematics with Applications
17 Journal of the Franklin Institute
17 Theoretical Population Biology
17 Complexity
17 Mathematical Population Studies
16 Nonlinear Analysis. Modelling and Control
15 AIMS Mathematics
14 Mathematical and Computer Modelling
14 Journal of Difference Equations and Applications
13 Optimal Control Applications & Methods
13 Journal of Dynamics and Differential Equations
13 Discrete and Continuous Dynamical Systems. Series S
12 Mathematics in Applied Sciences and Engineering
11 Applicable Analysis
11 Qualitative Theory of Dynamical Systems
10 ZAMP. Zeitschrift für angewandte Mathematik und Physik
10 International Journal of Mathematics and Mathematical Sciences
10 Ricerche di Matematica
10 Journal of the Egyptian Mathematical Society
10 Fractals
10 International Journal of Nonlinear Sciences and Numerical Simulation
10 ISRN Biomathematics
9 Information Sciences
9 Applications and Applied Mathematics
9 Nonautonomous Dynamical Systems
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Communications on Pure and Applied Analysis
8 SIAM Journal on Applied Dynamical Systems
8 International Journal of Differential Equations
8 Afrika Matematika
7 Physica D
7 Acta Mathematicae Applicatae Sinica. English Series
7 International Journal of Computer Mathematics
7 Mathematical Problems in Engineering
7 Biomath
7 Electronic Research Archive
7 Results in Applied Mathematics
6 Japan Journal of Industrial and Applied Mathematics
6 Boletín de la Sociedad Matemática Mexicana. Third Series
6 Boundary Value Problems
6 Journal of Function Spaces
6 Trends in Computational and Applied Mathematics
5 Nonlinearity
5 Stochastic Analysis and Applications
5 Acta Applicandae Mathematicae
5 European Journal of Operational Research
5 Electronic Journal of Differential Equations (EJDE)
5 International Journal of Applied Mathematics and Computer Science
5 Advances in Differential Equations and Control Processes
5 Journal of Applied Nonlinear Dynamics
5 Open Mathematics
4 Rocky Mountain Journal of Mathematics
4 Demonstratio Mathematica
4 Studies in Applied Mathematics
4 Journal of Nonlinear Science
4 Natural Resource Modeling
4 Mathematical Modelling and Analysis
4 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
4 Hacettepe Journal of Mathematics and Statistics
4 Journal of Physics A: Mathematical and Theoretical
4 Malaysian Journal of Mathematical Sciences
4 ISRN Applied Mathematics
4 Computational Methods for Differential Equations
...and 167 more Serials
all top 5

Cited in 37 Fields

3,420 Biology and other natural sciences (92-XX)
1,852 Ordinary differential equations (34-XX)
451 Dynamical systems and ergodic theory (37-XX)
370 Partial differential equations (35-XX)
334 Calculus of variations and optimal control; optimization (49-XX)
251 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
149 Probability theory and stochastic processes (60-XX)
144 Numerical analysis (65-XX)
128 Systems theory; control (93-XX)
71 Real functions (26-XX)
52 Statistical mechanics, structure of matter (82-XX)
38 Combinatorics (05-XX)
37 Computer science (68-XX)
35 Difference and functional equations (39-XX)
33 Statistics (62-XX)
28 Operations research, mathematical programming (90-XX)
25 Integral equations (45-XX)
20 Operator theory (47-XX)
7 Mechanics of particles and systems (70-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
4 Measure and integration (28-XX)
3 General and overarching topics; collections (00-XX)
3 Functional analysis (46-XX)
3 Geophysics (86-XX)
3 Information and communication theory, circuits (94-XX)
3 Mathematics education (97-XX)
2 Mathematical logic and foundations (03-XX)
2 Commutative algebra (13-XX)
2 Global analysis, analysis on manifolds (58-XX)
2 Fluid mechanics (76-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Topological groups, Lie groups (22-XX)
1 Special functions (33-XX)
1 General topology (54-XX)
1 Optics, electromagnetic theory (78-XX)
1 Classical thermodynamics, heat transfer (80-XX)

Citations by Year