Dynamics of an SIR epidemic model with varying population sizes and regime switching in a two patch setting

Liya Liu, Daqing Jiang and Tasawar Hayat

Physica A: Statistical Mechanics and its Applications, 2021, vol. 574, issue C

Abstract: In this paper, we investigate an SIR epidemic model with varying population sizes and regime switching in a two patch setting. Sufficient conditions for extinction and persistence in the mean of the diseases are obtained. In addition, we establish sufficient conditions for the existence of positive recurrence of the solutions to the model in the case of persistence by constructing a suitable stochastic Lyapunov function with regime switching. Finally, numerical simulations are performed to test our theory conclusion.

Keywords: SIR epidemic model; Extinction; Positive recurrence; Varying population sizes; Markov switching (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:574:y:2021:i:c:s0378437121002648

DOI: 10.1016/j.physa.2021.125992

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