Threshold behavior in a stochastic SIQR epidemic model with standard incidence and regime switching

Qun Liu, Daqing Jiang and Ningzhong Shi

Applied Mathematics and Computation, 2018, vol. 316, issue C, 310-325

Abstract: This paper is concerned with the dynamical behavior of a stochastic SIQR epidemic model with standard incidence which is disturbed by both white and telegraph noises. Firstly, we obtain sufficient conditions for persistence in the mean of the disease. Then we establish sufficient conditions for extinction of the disease. In addition, in the case of persistence, we get sufficient conditions for the existence of positive recurrence of the solutions by constructing a suitable stochastic Lyapunov function with regime switching. Meanwhile, the threshold between persistence in the mean and extinction of the stochastic system is also obtained. Finally, some numerical simulations are introduced to demonstrate the analytical results.

Keywords: SIQR epidemic model; Standard incidence; Persistence and extinction; Positive recurrence; Markov switching; Threshold (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (17)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:316:y:2018:i:c:p:310-325

DOI: 10.1016/j.amc.2017.08.042

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