Ergodic stationary distribution and extinction of a stochastic SIRS epidemic model with logistic growth and nonlinear incidence

S.P. Rajasekar and M. Pitchaimani

Applied Mathematics and Computation, 2020, vol. 377, issue C

Abstract: A stochastic SIRS model with logistic growth and nonlinear incidence rate is probed in this paper. We exemplify that the proposed stochastic SIRS model reveals a global and positive solution. By applying suitable Lyapunov functions, the sufficient conditions for the existence of ergodic stationary distribution of the solution to the stochastic SIRS model are derived. Furthermore, we acquire the sufficient conditions for extinction of the infectious disease.

Keywords: Extinction; Logistic growth; Stationary distribution and ergodicity; Nonlinear incidence; Stochastic SIRS model (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:377:y:2020:i:c:s0096300320301120

DOI: 10.1016/j.amc.2020.125143

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