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http://dx.doi.org/10.14317/jami.2012.30.1_2.183

STABILITY OF A TWO-STRAIN EPIDEMIC MODEL WITH AN AGE STRUCTURE AND MUTATION  

Wang, Xiaoyan (Department of Applied Mathematics, Yuncheng University)
Yang, Junyuan (Department of Applied Mathematics, Yuncheng University)
Zhang, Fengqin (Department of Applied Mathematics, Yuncheng University)
Publication Information
Journal of applied mathematics & informatics / v.30, no.1_2, 2012 , pp. 183-200 More about this Journal
Abstract
A two-strain epidemic model with an age structure mutation and varying population is studied. By means of the spectrum theory of bounded linear operator in functional analysis, the reproductive numbers according to the strains, which associates with the growth rate ${\lambda}^*$ of total population size are obtained. The asymptotic stability of the steady states are obtained under some sufficient conditions.
Keywords
two strains model; age-structure; the reproductive number;
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