Journal
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS
Volume 545, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.physa.2019.123361
Keywords
Rabies; Stochastic SEIRS epidemic model; Stochastic periodic solution; Vaccination; Lyapunov function
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Funding
- National Natural Science Foundation of P.R. China [11701209]
- Science and Technology Research Project of Jilin Provincial Department of Education of China [JJKH20180462KJ]
- Education Department of Hainan province, China [Hnky2017ZD-14]
- Hainan Provincial Natural Science Foundation of China [119QN205]
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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. (C) 2019 Published by Elsevier B.V.
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