Qualitative analysis of a stochastic epidemic model with specific functional response and temporary immunity

Khalid Hattaf, Marouane Mahrouf, Jihad Adnani and Noura Yousfi

Physica A: Statistical Mechanics and its Applications, 2018, vol. 490, issue C, 591-600

Abstract: In this paper, we propose a stochastic delayed epidemic model with specific functional response. The time delay represents temporary immunity period, i.e., time from recovery to becoming susceptible again. We first show that the proposed model is mathematically and biologically well-posed. Moreover, the extinction of the disease and the persistence in the mean are established in the terms of a threshold value R0S which is smaller than the basic reproduction number R0 of the corresponding deterministic system.

Keywords: Epidemic model; Temporary immunity; White noise; Extinction; Persistence (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (9)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:490:y:2018:i:c:p:591-600

DOI: 10.1016/j.physa.2017.08.043

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