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• W4308792243 abstract "Infected individuals often obtain or lose immunity after recovery in medical studies. To solve the problem, this paper proposes a stochastic SIRS epidemic model with a general incidence rate and partial immunity. Through an appropriate Lyapunov function, we obtain the existence and uniqueness of a unique globally positive solution. The disease will be extinct under the threshold criterion. We analyze the asymptotic behavior around the disease-free equilibrium of a deterministic SIRS model. By using the Khasminskii method, we prove the existence of a unique stationary distribution. Further, solutions of the stochastic model fluctuate around endemic equilibrium under certain conditions. Some numerical examples illustrate the theoretical results." @default.
• W4308792243 created "2022-11-15" @default.
• W4308792243 creator A5024818901 @default.
• W4308792243 creator A5062064525 @default.
• W4308792243 date "2022-11-11" @default.
• W4308792243 modified "2023-10-01" @default.
• W4308792243 title "Dynamics and stationary distribution of a stochastic SIRS epidemic model with a general incidence and immunity" @default.
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• W4308792243 doi "https://doi.org/10.1186/s13661-022-01668-0" @default.
• W4308792243 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/36405431" @default.
• W4308792243 hasPublicationYear "2022" @default.
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