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Author ID: li.michael-yi Recent zbMATH articles by "Li, Michael Yi"
Published as: Li, Michael Y.; Li, Michael; Li, Michael Yi

Publications by Year

Citations contained in zbMATH Open

74 Publications have been cited 3,768 times in 2,249 Documents Cited by Year
Global-stability problem for coupled systems of differential equations on networks. Zbl 1190.34063
Li, Michael Y.; Shuai, Zhisheng
430
2010
A geometric approach to global-stability problems. Zbl 0873.34041
Li, Michael Y.; Muldowney, James S.
308
1996
Global dynamics of a SEIR model with varying total population size. Zbl 0974.92029
Li, Michael Y.; Graef, John R.; Wang, Liancheng; Karsai, János
269
1999
Global stability for the SEIR model in epidemiology. Zbl 0821.92022
Li, Michael Y.; Muldowney, James S.
239
1995
A graph-theoretic approach to the method of global Lyapunov functions. Zbl 1155.34028
Guo, Hongbin; Li, Michael Y.; Shuai, Zhisheng
219
2008
Global stability of the endemic equilibrium of multigroup SIR epidemic models. Zbl 1148.34039
Guo, Hongbin; Li, Michael Y.; Shuai, Zhisheng
208
2006
Mathematical analysis of the global dynamics of a model for HIV infection of CD4\(^{+}\) T cells. Zbl 1086.92035
Wang, Liancheng; Li, Michael Y.
171
2006
Global dynamics of an SEIR epidemic model with vertical transmission. Zbl 0991.92029
Li, Michael Y.; Smith, Hal L.; Wang, Liancheng
136
2001
Global stability of multi-group epidemic models with distributed delays. Zbl 1175.92046
Li, Michael Y.; Shuai, Zhisheng; Wang, Chuncheng
134
2010
Asymptotic stability of travelling waves for Nicholson’s blowflies equation with diffusion. Zbl 1059.34019
Mei, Ming; So, Joseph W.-H.; Li, Michael Y.; Shen, Samuel S. P.
113
2004
Global dynamics of an in-host viral model with intracellular delay. Zbl 1198.92034
Li, Michael Y.; Shu, Hongying
105
2010
Impact of intracellular delays and target-cell dynamics on in vivo viral infections. Zbl 1209.92037
Li, Michael Y.; Shu, Hongying
92
2010
Hopf bifurcation analysis in a delayed Nicholson blowflies equation. Zbl 1144.34373
Wei, Junjie; Li, Michael Y.
82
2005
Global dynamics of a mathematical model for HTLV-I infection of \(CD4^{+}T\) cells with delayed CTL response. Zbl 1239.34086
Li, Michael Y.; Shu, Hongying
77
2012
Global stability of an SEIS epidemic model with recruitment and a varying total population size. Zbl 1005.92030
Fan, Meng; Li, Michael Y.; Wang, Ke
66
2001
On R. A. Smith’s autonomous convergence theorem. Zbl 0841.34052
Li, Michael Y.; Muldowney, James S.
63
1995
Global existence of periodic solutions in a tri-neuron network model with delays. Zbl 1062.34077
Wei, Junjie; Li, Michael Y.
61
2004
Global dynamics of a general class of multistage models for infectious diseases. Zbl 1244.34075
Guo, Hongbin; Li, Michael Y.; Shuai, Zhisheng
59
2012
Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection. Zbl 1220.92040
Li, Michael Y.; Shu, Hongying
58
2011
Global dynamics of a staged progression model for infectious diseases. Zbl 1092.92040
Guo, Hongbin; Li, Michael Y.
58
2006
Global stability of SEIRS models in epidemiology. Zbl 0976.92020
Li, Michael Y.; Muldowney, James S.; van den Driessche, P.
51
1999
Global stability in some SEIR epidemic models. Zbl 1022.92035
Li, Michael Y.; Wang, Liancheng
44
2002
Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression. Zbl 1008.92026
Wang, Liancheng; Li, Michael Y.; Kirschner, Denise
44
2002
Backward bifurcation in a model for HTLV-I infection of CD4\(^{+}\) T cells. Zbl 1334.92231
Gómez-Acevedo, Horacio; Li, Michael Y.
43
2005
Multistability in a model for CTL response to HTLV-I infection and its implications to HAM/TSP development and prevention. Zbl 1189.92049
Gómez-Acevedo, Horacio; Li, Michael Y.; Jacobson, Steven
43
2010
Global stability of an epidemic model in a patchy environment. Zbl 1216.34054
Li, Michael Y.; Shuai, Zhisheng
43
2009
A criterion for stability of matrices. Zbl 0911.15007
Li, Michael Y.; Wang, Liancheng
40
1998
Joint effects of mitosis and intracellular delay on viral dynamics: two-parameter bifurcation analysis. Zbl 1303.92060
Li, Michael Y.; Shu, Hongying
40
2012
Backward bifurcation in a mathematical model for HIV infection in vivo with anti-retroviral treatment. Zbl 1325.92054
Li, Michael Y.; Wang, Liancheng
35
2014
Impact of network connectivity on the synchronization and global dynamics of coupled systems of differential equations. Zbl 1349.34197
Du, Peng; Li, Michael Y.
34
2014
Dynamics of differential equations on invariant manifolds. Zbl 0983.34033
Li, Michael Y.; Muldowney, James S.
29
2000
Optimal control methods applied to disease models. Zbl 1148.49018
Joshi, Hem Raj; Lenhart, Suzanne; Li, Michael Y.; Wang, Liancheng
26
2006
Stable and transient periodic oscillations in a mathematical model for CTL response to HTLV-I infection. Zbl 1303.92059
Lang, John; Li, Michael Y.
25
2012
An introduction to mathematical modeling of infectious diseases. Zbl 1396.92003
Li, Michael Y.
25
2018
Diffusion-driven instability in reaction-diffusion systems. Zbl 0984.35022
Wang, Liancheng; Li, Michael Y.
21
2001
Impacts of migration and immigration on disease transmission dynamics in heterogeneous populations. Zbl 1252.92050
Guo, Hongbin; Li, Michael Yi
21
2012
Modelling the role of tax expression in HTLV-I persistence in vivo. Zbl 1237.92031
Li, Michael Y.; Lim, Aaron G.
20
2011
Turning points and relaxation oscillation cycles in simple epidemic models. Zbl 1356.34053
Li, Michael Y.; Liu, Weishi; Shan, Chunhua; Yi, Yingfei
19
2016
Global dynamics of a discrete age-structured SIR epidemic model with applications to measles vaccination strategies. Zbl 1411.34072
Zhou, Linhua; Wang, Yan; Xiao, Yanyu; Li, Michael Y.
18
2019
Modeling the effects of carriers on transmission dynamics of infectious diseases. Zbl 1260.92105
Kalajdzievska, Darja; Li, Michael Yi
17
2011
Global dynamics of an infinite dimensional epidemic model with nonlocal state structures. Zbl 1402.37090
Qiu, Zhipeng; Li, Michael Y.; Shen, Zhongwei
16
2018
Dulac criteria for autonomous systems having an invariant affine manifold. Zbl 0851.34031
Li, Michael Y.
15
1996
Global dynamics of a staged-progression model with amelioration for infectious diseases. Zbl 1140.92020
Guo, Hongbin; Li, Michael Y.
13
2008
Global stability in a mathematical model of tuberculosis. Zbl 1135.92314
Guo, Hongbin; Li, Michael Y.
11
2006
Lower bounds for the Hausdorff dimension of attractors. Zbl 0830.34044
Li, Michael Y.; Muldowney, James S.
10
1995
Global Hopf branches and multiple limit cycles in a delayed Lotka-Volterra predator-prey model. Zbl 1291.37091
Li, Michael Y.; Lin, Xihui; Wang, Hao
9
2014
Backward bifurcation and sensitivity analysis for bacterial meningitis transmission dynamics with a nonlinear recovery rate. Zbl 1495.92069
Asamoah, Joshua Kiddy K.; Nyabadza, Farai; Jin, Zhen; Bonyah, Ebenezer; Khan, Muhammad Altaf; Li, Michael Y.; Hayat, Tasawar
9
2020
Global dynamics of a staged-progression model for HIV/AIDS with amelioration. Zbl 1225.34052
Guo, Hongbin; Li, Michael Y.
8
2011
\(R_0\) and sensitivity analysis of a predator-prey model with seasonality and maturation delay. Zbl 1425.92165
Wang, Xiunan; Wang, Hao; Li, Michael Y.
8
2019
Phase asymptotic semiflows, Poincaré’s condition, and the existence of stable limit cycles. Zbl 0847.34059
Li, Michael Y.; Muldowney, James S.
7
1996
Bifurcation analysis in a neutral differential equation. Zbl 1259.34061
Qu, Ying; Li, Michael Yi; Wei, Junjie
7
2011
Global Hopf branches in a delayed model for immune response to HTLV-1 infections: coexistence of multiple limit cycles. Zbl 1496.92043
Li, Michael Y.; Lin, Xihui; Wang, Hao
7
2012
Viral dynamics of HIV-1 with CTL immune response. Zbl 1470.34137
Wang, Aiping; Li, Michael Y.
7
2021
Global dynamics of a mathematical model for HTLV-I infection of T cells. Zbl 1027.92017
Gomez-Acevedo, Horacio; Li, Michael Y.
6
2002
Global Hopf bifurcation analysis of a Nicholson’s blowflies equation of neutral type. Zbl 1337.37069
Li, Michael Y.; Wang, Chuncheng; Wei, Junjie
6
2014
A deterministic model for Q fever transmission dynamics within dairy cattle herds: using sensitivity analysis and optimal controls. Zbl 1431.92129
Asamoah, Joshua Kiddy K.; Jin, Zhen; Sun, Gui-Quan; Li, Michael Y.
6
2020
Bendixson’s criterion for autonomous systems with an invariant linear subspace. Zbl 0841.34029
Li, Michael Y.
4
1995
Evolution of surface functionals and differential equations. Zbl 0792.34050
Li, Michael Y.; Muldowney, J. S.
4
1993
Global stability of the endemic equilibrium of a tuberculosis model with immigration and treatment. Zbl 1246.92015
Guo, Hongbin; Li, Michael Y.
4
2011
Mesenchymal motion models in one dimension. Zbl 1183.35196
Wang, Zhi-An; Hillen, Thomas; Li, Michael
4
2008
A study on the effects of disease caused death in a simple epidemic model. Zbl 1304.92120
Graef, John R.; Li, Michael Y.; Wang, Liancheng
4
1998
Epidemic models with discrete state structures. Zbl 1485.92141
Liu, Suli; Li, Michael Y.
4
2021
Minimax optimal conditional density estimation under total variation smoothness. Zbl 1493.62170
Li, Michael; Neykov, Matey; Balakrishnan, Sivaraman
3
2022
Modeling rabies transmission in spatially heterogeneous environments via \(\theta \)-diffusion. Zbl 1460.92224
Wang, Xiunan; Wang, Hao; Li, Michael Y.
3
2021
Density dependence in disease incidence and its impacts on transmission dynamics. Zbl 1241.92063
De Boer, Rebecca; Li, Michael Y.
2
2011
The impact of quarantine and medical resources on the control of COVID-19 in Wuhan based on a household model. Zbl 1486.92223
Feng, Shanshan; Zhang, Juping; Li, Juan; Luo, Xiao-Feng; Zhu, Huaiping; Li, Michael Y.; Jin, Zhen
2
2022
Modeling the effects of latency reversing drugs during HIV-1 and SIV brain infection with implications for the “shock and kill” strategy. Zbl 1460.92101
Roda, Weston C.; Liu, Suli; Power, Christopher; Li, Michael Y.
2
2021
A discrete state-structured model on networks with two transmission modes: global dynamics analysis. Zbl 1517.34068
Liu, Guyue; Liu, Suli; Li, Michael Y.
2
2023
Poincaré’s stability condition for quasi-periodic orbits. Zbl 0923.34051
Li, Michael Y.; Muldowney, James S.
1
1998
Mechanisms for stable coexistence in an insect community. Zbl 1260.92111
Fan, Meng; Zhang, Bingbing; Li, Michael Yi
1
2010
Global Hopf bifurcation analysis of a neuron network model with time delays. Zbl 1269.34078
Li, Michael Y.; Wei, Junjie
1
2012
Necessary conditions for optimal control systems governed by semi-linear elliptic equations. Zbl 1145.49014
Gao, Hang; Li, Michael Y.
1
2006
On the basic reproduction number in semi-Markov switching networks. Zbl 1483.92124
Cao, Xiaochun; Jin, Zhen; Liu, Guirong; Li, Michael Y.
1
2021
Modeling the second outbreak of COVID-19 with isolation and contact tracing. Zbl 1504.34121
Song, Haitao; Liu, Fang; Li, Feng; Cao, Xiaochun; Wang, Hao; Jia, Zhongwei; Zhu, Huaiping; Li, Michael Y.; Lin, Wei; Yang, Hong; Hu, Jianghong; Jin, Zhen
1
2022
A discrete state-structured model on networks with two transmission modes: global dynamics analysis. Zbl 1517.34068
Liu, Guyue; Liu, Suli; Li, Michael Y.
2
2023
Minimax optimal conditional density estimation under total variation smoothness. Zbl 1493.62170
Li, Michael; Neykov, Matey; Balakrishnan, Sivaraman
3
2022
The impact of quarantine and medical resources on the control of COVID-19 in Wuhan based on a household model. Zbl 1486.92223
Feng, Shanshan; Zhang, Juping; Li, Juan; Luo, Xiao-Feng; Zhu, Huaiping; Li, Michael Y.; Jin, Zhen
2
2022
Modeling the second outbreak of COVID-19 with isolation and contact tracing. Zbl 1504.34121
Song, Haitao; Liu, Fang; Li, Feng; Cao, Xiaochun; Wang, Hao; Jia, Zhongwei; Zhu, Huaiping; Li, Michael Y.; Lin, Wei; Yang, Hong; Hu, Jianghong; Jin, Zhen
1
2022
Viral dynamics of HIV-1 with CTL immune response. Zbl 1470.34137
Wang, Aiping; Li, Michael Y.
7
2021
Epidemic models with discrete state structures. Zbl 1485.92141
Liu, Suli; Li, Michael Y.
4
2021
Modeling rabies transmission in spatially heterogeneous environments via \(\theta \)-diffusion. Zbl 1460.92224
Wang, Xiunan; Wang, Hao; Li, Michael Y.
3
2021
Modeling the effects of latency reversing drugs during HIV-1 and SIV brain infection with implications for the “shock and kill” strategy. Zbl 1460.92101
Roda, Weston C.; Liu, Suli; Power, Christopher; Li, Michael Y.
2
2021
On the basic reproduction number in semi-Markov switching networks. Zbl 1483.92124
Cao, Xiaochun; Jin, Zhen; Liu, Guirong; Li, Michael Y.
1
2021
Backward bifurcation and sensitivity analysis for bacterial meningitis transmission dynamics with a nonlinear recovery rate. Zbl 1495.92069
Asamoah, Joshua Kiddy K.; Nyabadza, Farai; Jin, Zhen; Bonyah, Ebenezer; Khan, Muhammad Altaf; Li, Michael Y.; Hayat, Tasawar
9
2020
A deterministic model for Q fever transmission dynamics within dairy cattle herds: using sensitivity analysis and optimal controls. Zbl 1431.92129
Asamoah, Joshua Kiddy K.; Jin, Zhen; Sun, Gui-Quan; Li, Michael Y.
6
2020
Global dynamics of a discrete age-structured SIR epidemic model with applications to measles vaccination strategies. Zbl 1411.34072
Zhou, Linhua; Wang, Yan; Xiao, Yanyu; Li, Michael Y.
18
2019
\(R_0\) and sensitivity analysis of a predator-prey model with seasonality and maturation delay. Zbl 1425.92165
Wang, Xiunan; Wang, Hao; Li, Michael Y.
8
2019
An introduction to mathematical modeling of infectious diseases. Zbl 1396.92003
Li, Michael Y.
25
2018
Global dynamics of an infinite dimensional epidemic model with nonlocal state structures. Zbl 1402.37090
Qiu, Zhipeng; Li, Michael Y.; Shen, Zhongwei
16
2018
Turning points and relaxation oscillation cycles in simple epidemic models. Zbl 1356.34053
Li, Michael Y.; Liu, Weishi; Shan, Chunhua; Yi, Yingfei
19
2016
Backward bifurcation in a mathematical model for HIV infection in vivo with anti-retroviral treatment. Zbl 1325.92054
Li, Michael Y.; Wang, Liancheng
35
2014
Impact of network connectivity on the synchronization and global dynamics of coupled systems of differential equations. Zbl 1349.34197
Du, Peng; Li, Michael Y.
34
2014
Global Hopf branches and multiple limit cycles in a delayed Lotka-Volterra predator-prey model. Zbl 1291.37091
Li, Michael Y.; Lin, Xihui; Wang, Hao
9
2014
Global Hopf bifurcation analysis of a Nicholson’s blowflies equation of neutral type. Zbl 1337.37069
Li, Michael Y.; Wang, Chuncheng; Wei, Junjie
6
2014
Global dynamics of a mathematical model for HTLV-I infection of \(CD4^{+}T\) cells with delayed CTL response. Zbl 1239.34086
Li, Michael Y.; Shu, Hongying
77
2012
Global dynamics of a general class of multistage models for infectious diseases. Zbl 1244.34075
Guo, Hongbin; Li, Michael Y.; Shuai, Zhisheng
59
2012
Joint effects of mitosis and intracellular delay on viral dynamics: two-parameter bifurcation analysis. Zbl 1303.92060
Li, Michael Y.; Shu, Hongying
40
2012
Stable and transient periodic oscillations in a mathematical model for CTL response to HTLV-I infection. Zbl 1303.92059
Lang, John; Li, Michael Y.
25
2012
Impacts of migration and immigration on disease transmission dynamics in heterogeneous populations. Zbl 1252.92050
Guo, Hongbin; Li, Michael Yi
21
2012
Global Hopf branches in a delayed model for immune response to HTLV-1 infections: coexistence of multiple limit cycles. Zbl 1496.92043
Li, Michael Y.; Lin, Xihui; Wang, Hao
7
2012
Global Hopf bifurcation analysis of a neuron network model with time delays. Zbl 1269.34078
Li, Michael Y.; Wei, Junjie
1
2012
Multiple stable periodic oscillations in a mathematical model of CTL response to HTLV-I infection. Zbl 1220.92040
Li, Michael Y.; Shu, Hongying
58
2011
Modelling the role of tax expression in HTLV-I persistence in vivo. Zbl 1237.92031
Li, Michael Y.; Lim, Aaron G.
20
2011
Modeling the effects of carriers on transmission dynamics of infectious diseases. Zbl 1260.92105
Kalajdzievska, Darja; Li, Michael Yi
17
2011
Global dynamics of a staged-progression model for HIV/AIDS with amelioration. Zbl 1225.34052
Guo, Hongbin; Li, Michael Y.
8
2011
Bifurcation analysis in a neutral differential equation. Zbl 1259.34061
Qu, Ying; Li, Michael Yi; Wei, Junjie
7
2011
Global stability of the endemic equilibrium of a tuberculosis model with immigration and treatment. Zbl 1246.92015
Guo, Hongbin; Li, Michael Y.
4
2011
Density dependence in disease incidence and its impacts on transmission dynamics. Zbl 1241.92063
De Boer, Rebecca; Li, Michael Y.
2
2011
Global-stability problem for coupled systems of differential equations on networks. Zbl 1190.34063
Li, Michael Y.; Shuai, Zhisheng
430
2010
Global stability of multi-group epidemic models with distributed delays. Zbl 1175.92046
Li, Michael Y.; Shuai, Zhisheng; Wang, Chuncheng
134
2010
Global dynamics of an in-host viral model with intracellular delay. Zbl 1198.92034
Li, Michael Y.; Shu, Hongying
105
2010
Impact of intracellular delays and target-cell dynamics on in vivo viral infections. Zbl 1209.92037
Li, Michael Y.; Shu, Hongying
92
2010
Multistability in a model for CTL response to HTLV-I infection and its implications to HAM/TSP development and prevention. Zbl 1189.92049
Gómez-Acevedo, Horacio; Li, Michael Y.; Jacobson, Steven
43
2010
Mechanisms for stable coexistence in an insect community. Zbl 1260.92111
Fan, Meng; Zhang, Bingbing; Li, Michael Yi
1
2010
Global stability of an epidemic model in a patchy environment. Zbl 1216.34054
Li, Michael Y.; Shuai, Zhisheng
43
2009
A graph-theoretic approach to the method of global Lyapunov functions. Zbl 1155.34028
Guo, Hongbin; Li, Michael Y.; Shuai, Zhisheng
219
2008
Global dynamics of a staged-progression model with amelioration for infectious diseases. Zbl 1140.92020
Guo, Hongbin; Li, Michael Y.
13
2008
Mesenchymal motion models in one dimension. Zbl 1183.35196
Wang, Zhi-An; Hillen, Thomas; Li, Michael
4
2008
Global stability of the endemic equilibrium of multigroup SIR epidemic models. Zbl 1148.34039
Guo, Hongbin; Li, Michael Y.; Shuai, Zhisheng
208
2006
Mathematical analysis of the global dynamics of a model for HIV infection of CD4\(^{+}\) T cells. Zbl 1086.92035
Wang, Liancheng; Li, Michael Y.
171
2006
Global dynamics of a staged progression model for infectious diseases. Zbl 1092.92040
Guo, Hongbin; Li, Michael Y.
58
2006
Optimal control methods applied to disease models. Zbl 1148.49018
Joshi, Hem Raj; Lenhart, Suzanne; Li, Michael Y.; Wang, Liancheng
26
2006
Global stability in a mathematical model of tuberculosis. Zbl 1135.92314
Guo, Hongbin; Li, Michael Y.
11
2006
Necessary conditions for optimal control systems governed by semi-linear elliptic equations. Zbl 1145.49014
Gao, Hang; Li, Michael Y.
1
2006
Hopf bifurcation analysis in a delayed Nicholson blowflies equation. Zbl 1144.34373
Wei, Junjie; Li, Michael Y.
82
2005
Backward bifurcation in a model for HTLV-I infection of CD4\(^{+}\) T cells. Zbl 1334.92231
Gómez-Acevedo, Horacio; Li, Michael Y.
43
2005
Asymptotic stability of travelling waves for Nicholson’s blowflies equation with diffusion. Zbl 1059.34019
Mei, Ming; So, Joseph W.-H.; Li, Michael Y.; Shen, Samuel S. P.
113
2004
Global existence of periodic solutions in a tri-neuron network model with delays. Zbl 1062.34077
Wei, Junjie; Li, Michael Y.
61
2004
Global stability in some SEIR epidemic models. Zbl 1022.92035
Li, Michael Y.; Wang, Liancheng
44
2002
Mathematical analysis of the global dynamics of a model for HTLV-I infection and ATL progression. Zbl 1008.92026
Wang, Liancheng; Li, Michael Y.; Kirschner, Denise
44
2002
Global dynamics of a mathematical model for HTLV-I infection of T cells. Zbl 1027.92017
Gomez-Acevedo, Horacio; Li, Michael Y.
6
2002
Global dynamics of an SEIR epidemic model with vertical transmission. Zbl 0991.92029
Li, Michael Y.; Smith, Hal L.; Wang, Liancheng
136
2001
Global stability of an SEIS epidemic model with recruitment and a varying total population size. Zbl 1005.92030
Fan, Meng; Li, Michael Y.; Wang, Ke
66
2001
Diffusion-driven instability in reaction-diffusion systems. Zbl 0984.35022
Wang, Liancheng; Li, Michael Y.
21
2001
Dynamics of differential equations on invariant manifolds. Zbl 0983.34033
Li, Michael Y.; Muldowney, James S.
29
2000
Global dynamics of a SEIR model with varying total population size. Zbl 0974.92029
Li, Michael Y.; Graef, John R.; Wang, Liancheng; Karsai, János
269
1999
Global stability of SEIRS models in epidemiology. Zbl 0976.92020
Li, Michael Y.; Muldowney, James S.; van den Driessche, P.
51
1999
A criterion for stability of matrices. Zbl 0911.15007
Li, Michael Y.; Wang, Liancheng
40
1998
A study on the effects of disease caused death in a simple epidemic model. Zbl 1304.92120
Graef, John R.; Li, Michael Y.; Wang, Liancheng
4
1998
Poincaré’s stability condition for quasi-periodic orbits. Zbl 0923.34051
Li, Michael Y.; Muldowney, James S.
1
1998
A geometric approach to global-stability problems. Zbl 0873.34041
Li, Michael Y.; Muldowney, James S.
308
1996
Dulac criteria for autonomous systems having an invariant affine manifold. Zbl 0851.34031
Li, Michael Y.
15
1996
Phase asymptotic semiflows, Poincaré’s condition, and the existence of stable limit cycles. Zbl 0847.34059
Li, Michael Y.; Muldowney, James S.
7
1996
Global stability for the SEIR model in epidemiology. Zbl 0821.92022
Li, Michael Y.; Muldowney, James S.
239
1995
On R. A. Smith’s autonomous convergence theorem. Zbl 0841.34052
Li, Michael Y.; Muldowney, James S.
63
1995
Lower bounds for the Hausdorff dimension of attractors. Zbl 0830.34044
Li, Michael Y.; Muldowney, James S.
10
1995
Bendixson’s criterion for autonomous systems with an invariant linear subspace. Zbl 0841.34029
Li, Michael Y.
4
1995
Evolution of surface functionals and differential equations. Zbl 0792.34050
Li, Michael Y.; Muldowney, J. S.
4
1993
all top 5

Cited by 3,045 Authors

78 Li, Wenxue
58 Elaiw, Ahmed M.
52 Jiang, Daqing
46 Wei, Junjie
36 Su, Huan
33 Li, Michael Yi
29 Wang, Jinliang
28 Teng, Zhi-dong
25 Jin, Zhen
25 Zhang, Chunmei
24 Li, Xuezhi
21 Liu, Qun
21 Wu, Jianhong
20 Alshamrani, Noura H.
20 Hayat, Tasawar
20 Kuniya, Toshikazu
20 Wang, Ke
20 Yang, Yu
19 Al-saedi, Ahmed Eid Salem
19 Cai, Liming
19 Qiu, Zhipeng
19 Shu, Hongying
19 Shuai, Zhisheng
19 Xu, Rui
18 Ding, Xiaohua
18 Liu, Shengqiang
17 Chen, Yuming
17 Liu, Xianning
17 Takeuchi, Yasuhiro
17 Wang, Jin
16 Wang, Pengfei
15 Cao, Jinde
15 Feng, Jiqiang
15 Ma, Wanbiao
15 van den Driessche, Pauline
14 Buonomo, Bruno
14 Li, Jianquan
14 Liu, Yan
14 Mei, Ming
14 Muroya, Yoshiaki
14 Xu, Jinhu
14 Xu, Yao
14 Zhou, Hui
14 Zhou, Yicang
13 Zou, Xingfu
12 Chattopadhyay, Joydev
12 Guo, Beibei
12 Guo, Ying
12 Jiang, Weihua
12 Liu, Zhijun
12 Shi, Junping
12 Sun, Guiquan
12 Wang, Lianwen
12 Wang, Lin
12 Wu, Yongbao
12 Zhang, Guobao
11 Chen, Shanshan
11 Huo, Hai-Feng
11 Li, Wan-Tong
11 McCluskey, C. Connell
11 Rong, Libin
11 Wang, Kaifa
11 Xiao, Yu
11 Yuan, Yuan
11 Zhang, Tailei
10 Cui, Jingan
10 d’Onofrio, Alberto
10 Huang, Gang
10 Khan, Muhammad Altaf
10 Liu, Meng
10 Shi, Ningzhong
10 Song, Xinyu
10 Wang, Xia
10 Wang, Yan
10 Wu, Shiliang
10 Wu, YiXiang
10 Yi, Taishan
10 Zhang, Fengqin
10 Zhou, Xueyong
9 Fan, Dejun
9 Fu, Xinchu
9 Geng, Yan
9 Gumel, Abba B.
9 Hattaf, Khalid
9 Meng, Xinzhu
9 Ruan, Shigui
9 Song, Yongli
9 Srivastava, Prashant Kr.
9 Vargas-De-León, Cruz
9 Wang, Yi
9 Wang, Yuanshi
9 Yan, Xiangping
9 Zhang, Chiping
9 Zhu, Huaiping
8 Ahmad, Bashir
8 Banaji, Murad
8 Bowong, Samuel
8 Enatsu, Yoichi
8 Gao, Shang
8 Hou, Qiang
...and 2,945 more Authors
all top 5

Cited in 232 Serials

130 Applied Mathematics and Computation
109 Mathematical Methods in the Applied Sciences
100 International Journal of Biomathematics
83 Chaos, Solitons and Fractals
75 Nonlinear Analysis. Real World Applications
75 Mathematical Biosciences and Engineering
71 Advances in Difference Equations
70 Discrete and Continuous Dynamical Systems. Series B
69 Journal of Mathematical Analysis and Applications
67 Physica A
65 Communications in Nonlinear Science and Numerical Simulation
60 Journal of Mathematical Biology
46 Mathematical Biosciences
42 Discrete Dynamics in Nature and Society
39 Journal of Biological Dynamics
38 Bulletin of Mathematical Biology
38 Abstract and Applied Analysis
37 Journal of the Franklin Institute
37 Mathematics and Computers in Simulation
36 Journal of Differential Equations
33 Applied Mathematical Modelling
29 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
29 Journal of Applied Mathematics and Computing
26 Journal of Theoretical Biology
24 Nonlinear Dynamics
23 Applicable Analysis
23 Applied Mathematics Letters
23 Nonlinear Analysis. Hybrid Systems
22 Chaos
21 Journal of Biological Systems
21 Journal of Applied Analysis and Computation
18 Computational & Mathematical Methods in Medicine
17 Computers & Mathematics with Applications
17 SIAM Journal on Applied Mathematics
16 Journal of Dynamics and Differential Equations
16 Journal of Applied Mathematics
15 Journal of Computational and Applied Mathematics
15 Complexity
14 International Journal of Control
14 Differential Equations and Dynamical Systems
13 Automatica
13 International Journal of Applied and Computational Mathematics
12 ZAMP. Zeitschrift für angewandte Mathematik und Physik
12 International Journal of Robust and Nonlinear Control
10 Physica D
9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Mathematical and Computer Modelling
8 Acta Mathematicae Applicatae Sinica. English Series
8 Qualitative Theory of Dynamical Systems
8 Nonlinear Analysis. Modelling and Control
8 Electronic Research Archive
7 Computational and Applied Mathematics
7 Journal of Difference Equations and Applications
7 Journal of Systems Science and Complexity
7 SIAM Journal on Applied Dynamical Systems
7 AIMS Mathematics
6 Nonlinearity
6 Information Sciences
6 Proceedings of the American Mathematical Society
6 Stochastic Analysis and Applications
6 Journal of the Egyptian Mathematical Society
6 Mathematical Problems in Engineering
6 Wuhan University Journal of Natural Sciences (WUJNS)
6 International Journal of Systems Science. Principles and Applications of Systems and Integration
5 Studies in Applied Mathematics
5 Theoretical Population Biology
5 Systems & Control Letters
5 Neural Networks
5 SIAM Journal on Mathematical Analysis
5 Journal of Nonlinear Science
5 Journal of Mathematical Chemistry
5 International Journal of Nonlinear Sciences and Numerical Simulation
5 Mathematical Modelling and Analysis
5 Communications on Pure and Applied Analysis
5 Boundary Value Problems
5 Discrete and Continuous Dynamical Systems. Series S
5 Computational and Mathematical Biophysics
5 Mathematics in Applied Sciences and Engineering
4 Physics Letters. A
4 Ricerche di Matematica
4 Japan Journal of Industrial and Applied Mathematics
4 Automation and Remote Control
4 International Journal of Computer Mathematics
4 Filomat
4 Mathematical and Computer Modelling of Dynamical Systems
4 Dynamical Systems
4 Applications and Applied Mathematics
4 Mathematical Modelling of Natural Phenomena
4 Journal of Applied Nonlinear Dynamics
4 Nonautonomous Dynamical Systems
4 Computational Methods for Differential Equations
3 Journal of Engineering Mathematics
3 Rocky Mountain Journal of Mathematics
3 Acta Mathematicae Applicatae Sinica
3 Acta Applicandae Mathematicae
3 MCSS. Mathematics of Control, Signals, and Systems
3 European Journal of Applied Mathematics
3 Calculus of Variations and Partial Differential Equations
3 Electronic Journal of Differential Equations (EJDE)
3 Boletín de la Sociedad Matemática Mexicana. Third Series
...and 132 more Serials
all top 5

Cited in 44 Fields

1,805 Biology and other natural sciences (92-XX)
1,262 Ordinary differential equations (34-XX)
337 Dynamical systems and ergodic theory (37-XX)
295 Partial differential equations (35-XX)
256 Systems theory; control (93-XX)
137 Probability theory and stochastic processes (60-XX)
101 Numerical analysis (65-XX)
91 Calculus of variations and optimal control; optimization (49-XX)
69 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
61 Combinatorics (05-XX)
43 Computer science (68-XX)
34 Difference and functional equations (39-XX)
33 Statistical mechanics, structure of matter (82-XX)
27 Real functions (26-XX)
22 Operations research, mathematical programming (90-XX)
20 Operator theory (47-XX)
20 Statistics (62-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
14 Integral equations (45-XX)
14 Information and communication theory, circuits (94-XX)
6 Global analysis, analysis on manifolds (58-XX)
6 Mechanics of particles and systems (70-XX)
3 Approximations and expansions (41-XX)
3 Functional analysis (46-XX)
3 Fluid mechanics (76-XX)
2 Measure and integration (28-XX)
2 General topology (54-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Mathematics education (97-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Nonassociative rings and algebras (17-XX)
1 Category theory; homological algebra (18-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Special functions (33-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Abstract harmonic analysis (43-XX)
1 Differential geometry (53-XX)
1 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Optics, electromagnetic theory (78-XX)

Citations by Year