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Global stability of SIR epidemic models with a wide class of nonlinear incidence rates and distributed delays
(Discrete and Continuous Dynamical Systems - Series B, 2011-12-31)
In this paper, we establish the global asymptotic stability of equi-libria for an SIR model of infectious diseases with distributed time delays gov-erned by a wide class of nonlinear incidence rates. We obtain the global ...
Global stability of a delayed SIRS epidemic model with a non-monotonic incidence rate
(Journal of Mathematical Analysis and Applications, 2011-12-31)
In this paper, we investigate a disease transmission model of SIRS type with latent period τ≥0 and the specific nonmonotone incidence rate, namely, For the basic reproduction number R0>1, applying monotone iterative ...
Global dynamics of a viral infection model with a latent period and Beddington-DeAngelis response
(Nonlinear Analysis, Theory, Methods and Applications, 2011-12-31)
In this paper, we study the global dynamics of a viral infection model with a latent period. The model has a nonlinear function which denotes the incidence rate of the virus infection in vivo. The basic reproduction number ...