Time to extinction and stationary distribution of a stochastic susceptible-infected-recovered-susceptible model with vaccination under Markov switching

Xiaoni Li, Xining Li and Qimin Zhang

Mathematical Population Studies, 2020, vol. 27, issue 4, 259-274

Abstract: A stochastic susceptible-infected-recovered-susceptible model with vaccination includes stochastic variation in its parameters. Sufficient conditions for the extinction and the existence of the stationary distribution of the population are proved.

Date: 2020
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DOI: 10.1080/08898480.2019.1626633

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