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

Mathematical Biosciences and Engineering : MBE
Xue-Zhi LiMaia Martcheva

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.

Citations

May 23, 2015·Biology Letters·Rony IzharFrida Ben-Ami
Nov 12, 2016·Journal of Mathematical Biology·Robert Rowthorn, Selma Walther

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