Dynamics for a class of stochastic SIS epidemic models with nonlinear incidence and periodic coefficients

Ramziya Rifhat, Lei Wang and Zhidong Teng

Physica A: Statistical Mechanics and its Applications, 2017, vol. 481, issue C, 176-190

Abstract: In this paper, we investigate the dynamics of a class of periodic stochastic SIS epidemic models with general nonlinear incidence f(S,I). Some sufficient conditions on the permanence in the mean and extinction of positive solutions with probability one are established. By using the Khasminskii’s boundary periodic Markov processes, the existence of stochastic nontrivial periodic solution for the models is also obtained. The numerical simulations are given to illustrate the main theoretical results and some interesting conjectures are presented.

Keywords: Periodic stochastic epidemic model; Nonlinear incidence; Extinction; Permanence in the mean; Stochastic periodic solution (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:481:y:2017:i:c:p:176-190

DOI: 10.1016/j.physa.2017.04.016

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