Asymptotic behavior of SIRS models in state-dependent random environments

DOI10.1016/j.nahs.2020.100914zbMath1479.60162arXiv1802.02309OpenAlexW3038524242MaRDI QIDQ2061173

Jing Hai Shao, Jianhai Bao

Publication date: 13 December 2021

Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.02309

zbMATH Keywords

persistenceextinctionregime-switchingstochastic comparisonstate-dependence

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Population dynamics (general) (92D25) Diffusion processes (60J60) Computational methods for stochastic equations (aspects of stochastic analysis) (60H35)

Related Items (7)

DYNAMICS OF AN SIRS EPIDEMIC MODEL WITH PERIODIC INFECTION RATE ON A SCALE-FREE NETWORK ⋮ Exponential ergodicity for regime-switching diffusion processes in total variation norm ⋮ The threshold of a stochastic SIRS epidemic model with general incidence rate under regime-switching ⋮ Dynamical behavior of a stochastic SIQS model via isolation with regime-switching ⋮ Positive recurrence and extinction of hybrid stochastic SIRS model with nonlinear incidence rate ⋮ Dynamics of an SIRS model with age structure and two delays ⋮ Persistence and extinction of a stochastic AIDS model driven by Lévy jumps

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