Existence of periodic solutions for the periodically forced SIR model
نویسنده
چکیده
We prove that the seasonally-forced SIR model with a T -periodic forcing has a periodic solution with period T whenever the basic reproductive number R0 > 1. The proof uses the Leray-Schauder degree theory. We also describe some numerical results in which we compute the T -periodic solution, where in order to obtain the T -periodic solution when the behavior of the system is subharmonic or chaotic, we use a Galerkin scheme. MSC: 34V25, 37J45, 92D30.
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تاریخ انتشار 2013