Article ID Journal Published Year Pages File Type
1705397 Applied Mathematical Modelling 2011 10 Pages PDF
Abstract

A non-autonomous SIR model with periodic transmission rate and a constant removal rate is formulated. By using the continuation theorem of coincidence degree theory, sufficient conditions for the existence of at least two positive periodic solutions are obtained. The stability of the periodic solution for small seasonality is investigated. Numerical simulations are done to show our theoretical results.

Related Topics
Physical Sciences and Engineering Engineering Computational Mechanics
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