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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 ...
On the global stability of a delayed epidemic model with transport-related infection
(Nonlinear Analysis: Real World Applications, 2011-12-31)
We study the global dynamics of a time delayed epidemic model proposed by Liu et al. (2008) [J. Liu, J. Wu, Y. Zhou, Modeling disease spread via transport-related infection by a delay differential equation, Rocky Mountain ...
On the global stability of an SIRS epidemic model with distributed delays
(Discrete and Continuous Dynamical Systems- Series A, 2011-12-31)
In this paper, we establish the global asymptotic stability of an endemic equilibrium for an SIRS epidemic model with distributed time delays. It is shown that the global stability holds for any rate of immunity loss, if ...
Global dynamics of a cell mediated immunity in viral infection models with distributed delays
(Journal of Mathematical Analysis and Applications, 2011-12-31)
In this paper, we investigate global dynamics for a system of delay differential equations which describes a virus-immune interaction in vivo. The model has two distributed time delays describing time needed for infection ...