Existence of periodic solutions for the periodically forced SIR model
Populations and Evolution
2014-08-12 v1 Dynamical Systems
Chaotic Dynamics
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.
Keywords
Cite
@article{arxiv.1307.5050,
title = {Existence of periodic solutions for the periodically forced SIR model},
author = {Guy Katriel},
journal= {arXiv preprint arXiv:1307.5050},
year = {2014}
}