This article aims to analyze a stochastic epidemic model (Susceptible-exposed-undetected infected-detected infected (reported -recovered) assuming that the transmission rate at which people undetected become detected is perturbed by the Ornstein-Uhlenbeck process. Our first objective is to prove that the stochastic model has a unique positive global solution by constructing a nonnegative Lyapunov function. Afterward, we provide a sufficient criterion to prove the existence of an ergodic stationary distribution of the mode by constructing a suitable series of Lyapunov functions. Subsequently, we establish sufficient conditions for the extinction of the disease. Finally, a series of numerical simulations are carried out to illustrate the theoretical results.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC11367037 | PMC |
| http://dx.doi.org/10.1016/j.heliyon.2024.e35749 | DOI Listing |
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