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Global stability of the endemic equilibrium and uniform persistence in epidemic models with subpopulations

Published online by Cambridge University Press:  17 February 2009

Xiaodong Lin  and
Joseph W.-H. So
Xiaodong Lin
Affiliation:
Department of Applied Mathematics, University of Waterloo, Ontario, CanadaN2L 3G1.
Joseph W.-H. So
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, Alberta, CanadaT6G 2G1.
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Abstract

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We consider the epidemic model with subpopulations introduced in Hethcote [5]. It is shown that if the endemic equilibrium exists, then the system is uniformly persistent. Moreover, the endemic equilibrium is globally asymptotically stable under the assumption of small effective contact rates between different subpopulations.

Type
Research Article
Information
The ANZIAM Journal , Volume 34 , Issue 3 , January 1993 , pp. 282 - 295
Copyright
Copyright © Australian Mathematical Society 1993

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