Global stability for a class of discrete SIR epidemic models.
نویسندگان
چکیده
In this paper, we propose a class of discrete SIR epidemic models which are derived from SIR epidemic models with distributed delays by using a variation of the backward Euler method. Applying a Lyapunov functional technique, it is shown that the global dynamics of each discrete SIR epidemic model are fully determined by a single threshold parameter and the effect of discrete time delays are harmless for the global stability of the endemic equilibrium of the model.
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ورودعنوان ژورنال:
- Mathematical biosciences and engineering : MBE
دوره 7 2 شماره
صفحات -
تاریخ انتشار 2010