Stationary distribution of a double epidemic stochastic model driven by saturated incidence rates

T. Tamil Selvan and M. Kumar

Applied Mathematics and Computation, 2024, vol. 474, issue C

Abstract: The double epidemic study is one of the critical studies in recent times as humankind experiences various simultaneous spreads of diseases. Reproduction numbers are important, which helps to derive sufficient conditions for extinction, persistence and co-persistence of diseases. This work aims to establish the stationary distribution of a stochastic double epidemic model comprised of SIR and SIRS transmission hypothesis through saturated incidence rate, with the aid of Markov semigroup theory. By constructing a suitable Lyapunov functional, the required result is sufficient by conditions on reproduction numbers.

Keywords: Double epidemic model; Stationary distribution; Itô's formula; Lyapunov functional (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:474:y:2024:i:c:s0096300324001693

DOI: 10.1016/j.amc.2024.128697

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