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arXiv · 1307.5050

Existence of periodic solutions for the periodically forced SIR model

Guy Katriel
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Abstract

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.

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Guy Katriel. 2013-07-18. Existence of periodic solutions for the periodically forced SIR model. https://doi.org/10.1007/s10958-014-1993-x

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