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Global stability for a discrete epidemic model for disease with immunity and latency spreading in a heterogeneous host population
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 ...
Permanence and extinction for a nonautonomous SEIRS epidemic model
In this paper, we study the long-time behavior of a nonautonomous SEIRS epidemic model. We obtain new sufficient conditions for the permanence (uniform persistence) and extinction of infectious population of the model. By ...
Permanence and global stability of a class of discrete epidemic models
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 SIR epidemic models with a wide class of nonlinear incidence rates and distributed delays
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
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 ...