Analysis of a stochastic distributed delay epidemic model with relapse and Gamma distribution kernel

Tomás Caraballo, Mohamed El Fatini, Mohamed El Khalifi, Richard Gerlach and Roger Pettersson

Chaos, Solitons & Fractals, 2020, vol. 133, issue C

Abstract: In this work, we investigate a stochastic epidemic model with relapse and distributed delay. First, we prove that our model possesses and unique global positive solution. Next, by means of the Lyapunov method, we determine some sufficient criteria for the extinction of the disease and its persistence. In addition, we establish the existence of a unique stationary distribution to our model. Finally, we provide some numerical simulations for the stochastic model to assist and show the applicability and efficiency of our results.

Keywords: Epidemic model; Distributed delay; Extinction; Persistence; Stationary distribution (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:133:y:2020:i:c:s0960077920300424

DOI: 10.1016/j.chaos.2020.109643

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