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Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population
(Nonlinear Analysis: Real World Applications, 2012-12-31)
In this paper, we propose a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population, which is derived from the continuous case by using the well-known backward Euler method ...
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 ...
Permanence and global stability of a class of discrete epidemic models
(Nonlinear Analysis: Real World Applications, 2011-12-31)
In this paper we investigate the permanence of a system and give a sufficient condition for the endemic equilibrium to be globally asymptotically stable, which are the remaining problems in our previous paper (G. Izzo, Y. ...
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 ...