Nontrivial periodic solution of a stochastic seasonal rabies epidemic model

Zhongwei Cao, Wei Feng, Xiangdan Wen, Li Zu and Jinyao Gao

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

Abstract: In this paper, we consider a stochastic nonautonomous rabies epidemic model. By using Khasminskii’s theory of periodic solutions and constructing a suitable stochastic Lyapunov function, we show that the stochastic nonautonomous epidemic model admits at least one nontrivial positive T-periodic solution under certain condition.

Keywords: Rabies; Stochastic SEIRS epidemic model; Stochastic periodic solution; Vaccination; Lyapunov function (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119318801

DOI: 10.1016/j.physa.2019.123361

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