Dynamical behavior of a stochastic multigroup SIR epidemic model

Qun Liu and Daqing Jiang

Physica A: Statistical Mechanics and its Applications, 2019, vol. 526, issue C

Abstract: In this paper, we study a multigroup SIR epidemic model in a stochastic environment. By constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of a stationary distribution of the positive solutions to the model. Then we establish sufficient conditions for extinction of the diseases. The results reveal that the smaller white noise can ensure the persistence of the diseases while the larger white noise can lead to the extinction of the diseases. Finally, some examples and numerical simulations are provided to illustrate the theoretical results.

Keywords: Multigroup SIR epidemic model; Stationary distribution; Extinction; Stochastic perturbation (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:526:y:2019:i:c:s0378437119305801

DOI: 10.1016/j.physa.2019.04.211

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