Dynamics of a stochastic SIS model with double epidemic diseases driven by Lévy jumps

Xinhong Zhang, Daqing Jiang, Tasawar Hayat and Bashir Ahmad

Physica A: Statistical Mechanics and its Applications, 2017, vol. 471, issue C, 767-777

Abstract: This paper is to investigate the dynamics of a stochastic SIS epidemic model with saturated incidence rate and double epidemic diseases which make the research more complex. The environment variability in this study is characterized by white noise and jump noise. Sufficient conditions for the extinction and persistence in the mean of two epidemic diseases are obtained. It is shown that the two diseases can coexist under appropriate conditions. Finally, numerical simulations are introduced to illustrate the results developed.

Keywords: Stochastic SIS epidemic model; Double epidemic diseases; Coexistence; Persistence in the mean; Lévy jumps (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:471:y:2017:i:c:p:767-777

DOI: 10.1016/j.physa.2016.12.074

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