An age-structured two-strain epidemic modelwith super-infection

Xue-Zhi Li; Ji-Xuan Liu; Maia Martcheva

doi:10.3934/mbe.2010.7.123

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2010, Volume 7, Issue 1: 123-147. Doi: 10.3934/mbe.2010.7.123

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An age-structured two-strain epidemic model with super-infection

1.
Department of Mathematics, Xinyang Normal University, Xinyang 464000
2.
Department of Mathematics, 358 Little Hall, University of Florida, Gainesville, FL 32611

Received: April 30, 2009

Revised: September 30, 2009

Published: December 2009

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Abstract

This article focuses on the study of an age-structured two-strain model with super-infection. The explicit expression of basic reproduction numbers and the invasion reproduction numbers corresponding to strain one and strain two are obtained. It is shown that the infection-free steady state is globally stable if the basic reproductive number $ R_0 $ is below one. Existence of strain one and strain two exclusive equilibria is established. Conditions for local stability or instability of the exclusive equilibria of the strain one and strain two are established. Existence of coexistence equilibrium is also obtained under the condition that both invasion reproduction numbers are larger than one.

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Mathematics Subject Classification: Primary: 92D30; Secondary: 53C35.

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