A threshold of a delayed stochastic epidemic model with Crowly–Martin functional response and vaccination

Mohamed El Fatini, Idriss Sekkak and Aziz Laaribi

Physica A: Statistical Mechanics and its Applications, 2019, vol. 520, issue C, 151-160

Abstract: In this paper, we study a delayed stochastic SIR epidemic model with Crowly–Martin functional response and vaccination. First we prove the existence and the uniqueness of the positive solution. Therefore, we establish a stochastic threshold Rs as a sufficient condition for the extinction and persistence in mean of the stochastic epidemic system. Finally, numerical simulations are presented to support our theoretical results.

Keywords: Epidemic model; Threshold; Stochastic process; Delay; Extinction; Persistence in mean (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:520:y:2019:i:c:p:151-160

DOI: 10.1016/j.physa.2019.01.014

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