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Bifurcation analysis of an age-structured SIRI epidemic model
oleh: Xiaohong Tian, Rui Xu, Ning Bai, Jiazhe Lin
Format: | Article |
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Diterbitkan: | AIMS Press 2020-10-01 |
Deskripsi
In this paper, an SIRI epidemic model with age of infection and the proliferation of susceptible individuals with logistic growth is investigated. By using the theory of integral semigroup and Hopf bifurcation theory for semilinear equations with non-dense domain, it is shown that if the threshold parameter is greater than unity, sufficient condition is derived for the occurrence of the Hopf bifurcation. Numerical simulations are carried out to illustrate the theoretical results.