Dynamical behavior of stochastic SIRS model with two different incidence rates and Markovian switching

DOI10.1186/s13662-019-2266-2zbMath1485.92163OpenAlexW2964546250MaRDI QIDQ2114337

Feng Wang, Zai-Ming Liu

Publication date: 15 March 2022

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-019-2266-2

zbMATH Keywords

Markovian switchingextinction and persistencestochastic SIRS modeltwo incidence rates

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Population dynamics (general) (92D25) Applications of stochastic analysis (to PDEs, etc.) (60H30) Ordinary differential equations and systems with randomness (34F05)

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Asymptotic behavior of multigroup SEIR model with nonlinear incidence rates under stochastic perturbations, A stochastic differential equation SIS model on network under Markovian switching, Threshold dynamics of SAIRS epidemic model with semi‐Markov switching, The stationary distribution in a class of stochastic SIRS epidemic models with non-monotonic incidence and degenerate diffusion, Stability and asymptotic behavior of a regime-switching SIRS model with Beddington-DeAngelis incidence rate, Dynamical aspects of a delayed epidemic model with subdivision of susceptible population and control strategies

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