A stochastic SIRS epidemic model with a general awareness-induced incidence

Badreddine Berrhazi, Mohamed El Fatini, Aadil Lahrouz, Adel Settati and Regragui Taki

Physica A: Statistical Mechanics and its Applications, 2018, vol. 512, issue C, 968-980

Abstract: In this work we investigate the existence of a unique global positive solution for a stochastic SIRS epidemic model with a general awareness-induced incidence. We also study the dynamic properties of the solution around both disease-free and endemic equilibria points of the deterministic model. Furthermore, we establish sufficient conditions for the existence of an ergodic stationary distribution to the model. Numerical simulations are presented to confirm the theoretical results.

Keywords: Epidemic model; Media coverage; Stochastic process; Stationary distribution; Ergodicity (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:512:y:2018:i:c:p:968-980

DOI: 10.1016/j.physa.2018.08.150

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