Analysis of a deterministic and a stochastic epidemic model with two distinct epidemics hypothesis

Brahim Boukanjime, Mohamed El Fatini, Aziz Laaribi and Regragui Taki

Physica A: Statistical Mechanics and its Applications, 2019, vol. 534, issue C

Abstract: In this paper, we discuss an epidemic model with double hypothesis combined two different transmission mechanisms. First, we prove the local asymptotic stability of the equilibrium solutions of deterministic system. Moreover we establish the global stability for the free equilibrium. Second, we show for stochastic system the extinction and persistence in mean of the disease, under some conditions on parameters of the model. Finally, numerical simulations are used to confirm our analytical results.

Keywords: Double epidemic hypothesis; Lyapunov function; 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:534:y:2019:i:c:s0378437119313421

DOI: 10.1016/j.physa.2019.122321

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