Global analysis of an epidemic model with a constant removal rate

Global analysis of an epidemic model with a constant removal rate

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Article ID: iaor20072438
Country: Netherlands
Volume: 45
Issue: 7/8
Start Page Number: 834
End Page Number: 843
Publication Date: Apr 2007
Journal: Mathematical and Computer Modelling
Authors: ,
Keywords: epidemiology
Abstract:

In this paper we consider an epidemic model, which is a reduced SIRS model with a constant removal rate of the infective individuals, for its qualitative properties which were not revealed by Wang and Ruan. We first prove the uniqueness of closed orbits if they exist for this epidemic model. Then we discuss the qualitative properties of equilibria at infinity for global tendencies. Therefore, global dynamical behaviors of this system are obtained in the end.

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