Stochastic stability and instability of an epidemic model with relapse

Mohamed El Fatini, Aadil Lahrouz, Roger Pettersson, Adel Settati and Regragui Taki

Applied Mathematics and Computation, 2018, vol. 316, issue C, 326-341

Abstract: In this paper, we present a stochastic epidemic model with relapse. First, we prove global positivity of solutions. Then we discuss stability of the disease-free equilibrium state and we show extinction of epidemics using Lyapunov functions. Furthermore we show persistence of the disease under some conditions on parameters of the model. Our numerical simulations confirm the analytical results.

Keywords: Stochastic epidemic model; Relapse; Stability; Lyapunov function (search for similar items in EconPapers)
Date: 2018
References: View complete reference list from CitEc
Citations: View citations in EconPapers (17)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:316:y:2018:i:c:p:326-341

DOI: 10.1016/j.amc.2017.08.037

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