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Journal of Applied Mathematics and Computing
Erschienen in: Journal of Applied Mathematics and Computing 1-2/2021

01.11.2020 | Original Research

Stationary distribution and extinction of a stochastic model of syphilis transmission in an MSM population with telegraph noises

verfasst von: Yaxin Zhou, Wenjie Zuo, Daqing Jiang, Mingyu Song

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2021

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Abstract

This paper is concerned with the dynamical behaviors of a model of syphilis transmission disturbed by both white noises and telegraph noises. Multiple infections and treatment stages are considered, which include and extend the existing ones. The existence and ergodicity of the stationary distribution are obtained by constructing a suitable Lyapunov function, which determines a critical value \(R_0^*\) corresponding to the control reproduction number \(R_c\) of the corresponding determined system. In addition, a sufficient criteria for extinction of the diseases is derived. Finally, the numerical simulations illustrate our theoretical results, which show that, the stronger white noises can result in the extinction of the diseases and telegraph noises can strength the stability of the system.
Vorheriger Artikel Global dynamics of target-mediated drug disposition models and their solutions by nonstandard finite difference method
Nächster Artikel Splitting preconditioning based on sine transform for time-dependent Riesz space fractional diffusion equations

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Metadaten
Titel
Stationary distribution and extinction of a stochastic model of syphilis transmission in an MSM population with telegraph noises
verfasst von
Yaxin Zhou
Wenjie Zuo
Daqing Jiang
Mingyu Song
Publikationsdatum
01.11.2020
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1-2/2021
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-020-01453-1

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