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Global stability for an SEIR epidemiological model with varying infectivity and infinite delay
1.  Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, Canada 
[1] 
Abdelhai Elazzouzi, Aziz Ouhinou. Optimal regularity and stability analysis in the $\alpha$Norm for a class of partial functional differential equations with infinite delay. Discrete & Continuous Dynamical Systems  A, 2011, 30 (1) : 115135. doi: 10.3934/dcds.2011.30.115 
[2] 
Yoji Otani, Tsuyoshi Kajiwara, Toru Sasaki. Lyapunov functionals for multistrain models with infinite delay. Discrete & Continuous Dynamical Systems  B, 2017, 22 (2) : 507536. doi: 10.3934/dcdsb.2017025 
[3] 
Yoji Otani, Tsuyoshi Kajiwara, Toru Sasaki. Lyapunov functionals for virusimmune models with infinite delay. Discrete & Continuous Dynamical Systems  B, 2015, 20 (9) : 30933114. doi: 10.3934/dcdsb.2015.20.3093 
[4] 
Ismael Maroto, Carmen Núñez, Rafael Obaya. Exponential stability for nonautonomous functional differential equations with statedependent delay. Discrete & Continuous Dynamical Systems  B, 2017, 22 (8) : 31673197. doi: 10.3934/dcdsb.2017169 
[5] 
Fuke Wu, Shigeng Hu. The LaSalletype theorem for neutral stochastic functional differential equations with infinite delay. Discrete & Continuous Dynamical Systems  A, 2012, 32 (3) : 10651094. doi: 10.3934/dcds.2012.32.1065 
[6] 
Ya Wang, Fuke Wu, Xuerong Mao, Enwen Zhu. Advances in the LaSalletype theorems for stochastic functional differential equations with infinite delay. Discrete & Continuous Dynamical Systems  B, 2017, 22 (11) : 114. doi: 10.3934/dcdsb.2019182 
[7] 
Deqiong Ding, Wendi Qin, Xiaohua Ding. Lyapunov functions and global stability for a discretized multigroup SIR epidemic model. Discrete & Continuous Dynamical Systems  B, 2015, 20 (7) : 19711981. doi: 10.3934/dcdsb.2015.20.1971 
[8] 
Xiaodong Fan, Tian Qin. Stability analysis for generalized semiinfinite optimization problems under functional perturbations. Journal of Industrial & Management Optimization, 2017, 13 (5) : 113. doi: 10.3934/jimo.2018201 
[9] 
Xiuli Sun, Rong Yuan, Yunfei Lv. Global Hopf bifurcations of neutral functional differential equations with statedependent delay. Discrete & Continuous Dynamical Systems  B, 2018, 23 (2) : 667700. doi: 10.3934/dcdsb.2018038 
[10] 
C. Connell McCluskey. Global stability of an $SIR$ epidemic model with delay and general nonlinear incidence. Mathematical Biosciences & Engineering, 2010, 7 (4) : 837850. doi: 10.3934/mbe.2010.7.837 
[11] 
BaoZhu Guo, LiMing Cai. A note for the global stability of a delay differential equation of hepatitis B virus infection. Mathematical Biosciences & Engineering, 2011, 8 (3) : 689694. doi: 10.3934/mbe.2011.8.689 
[12] 
Anatoli F. Ivanov, Musa A. Mammadov. Global asymptotic stability in a class of nonlinear differential delay equations. Conference Publications, 2011, 2011 (Special) : 727736. doi: 10.3934/proc.2011.2011.727 
[13] 
Yincui Yan, Wendi Wang. Global stability of a fivedimensional model with immune responses and delay. Discrete & Continuous Dynamical Systems  B, 2012, 17 (1) : 401416. doi: 10.3934/dcdsb.2012.17.401 
[14] 
Aissa Guesmia, Nassereddine Tatar. Some wellposedness and stability results for abstract hyperbolic equations with infinite memory and distributed time delay. Communications on Pure & Applied Analysis, 2015, 14 (2) : 457491. doi: 10.3934/cpaa.2015.14.457 
[15] 
Andrey V. Melnik, Andrei Korobeinikov. Lyapunov functions and global stability for SIR and SEIR models with agedependent susceptibility. Mathematical Biosciences & Engineering, 2013, 10 (2) : 369378. doi: 10.3934/mbe.2013.10.369 
[16] 
Tarik Mohammed Touaoula. Global stability for a class of functional differential equations (Application to Nicholson's blowflies and MackeyGlass models). Discrete & Continuous Dynamical Systems  A, 2018, 38 (9) : 43914419. doi: 10.3934/dcds.2018191 
[17] 
Carlos Arnoldo Morales, M. J. Pacifico. Lyapunov stability of $\omega$limit sets. Discrete & Continuous Dynamical Systems  A, 2002, 8 (3) : 671674. doi: 10.3934/dcds.2002.8.671 
[18] 
Luis Barreira, Claudia Valls. Stability of nonautonomous equations and Lyapunov functions. Discrete & Continuous Dynamical Systems  A, 2013, 33 (7) : 26312650. doi: 10.3934/dcds.2013.33.2631 
[19] 
Sergio Grillo, Jerrold E. Marsden, Sujit Nair. Lyapunov constraints and global asymptotic stabilization. Journal of Geometric Mechanics, 2011, 3 (2) : 145196. doi: 10.3934/jgm.2011.3.145 
[20] 
Nguyen Dinh Cong, Thai Son Doan, Stefan Siegmund. On Lyapunov exponents of difference equations with random delay. Discrete & Continuous Dynamical Systems  B, 2015, 20 (3) : 861874. doi: 10.3934/dcdsb.2015.20.861 
2018 Impact Factor: 1.313
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