Exponential ergodicity of a regime-switching SIS epidemic model with jumps

DOI10.1016/j.aml.2019.02.032zbMath1411.92278OpenAlexW2918429921WikidataQ115597928 ScholiaQ115597928MaRDI QIDQ1739489

Yuguo Lin, Yanan Zhao

Publication date: 26 April 2019

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2019.02.032

zbMATH Keywords

extinctionirreducibilitythresholdexponential ergodicitystrong Feller property

Mathematics Subject Classification ID

Epidemiology (92D30) Ergodicity, mixing, rates of mixing (37A25)

Related Items (4)

A stochastic analysis for a triple delayed SIR epidemic model with vaccination incorporating Lévy noise ⋮ Global stability and control strategies of a SIQRS epidemic model with time delay ⋮ Return-to-normality in a piecewise deterministic Markov SIR+V model with pharmaceutical and non-pharmaceutical interventions ⋮ Persistence and extinction of a stochastic SIS epidemic model with regime switching and Lévy jumps

Cites Work

• Competitive Lotka-Volterra population dynamics with jumps
• Population size dependent incidence in models for diseases without immunity
• Threshold of a stochastic SIR epidemic model with Lévy jumps
• Dynamics of a stochastic SIS model with double epidemic diseases driven by Lévy jumps
• Stationary distribution and ergodicity of a stochastic hybrid competition model with Lévy jumps
• Stochastic regime switching SIR model driven by Lévy noise
• Stochastic SIR model with jumps
• Stability of regime-switching diffusions
• On the stability of jump-diffusions with Markovian switching
• Stability of Markovian processes III: Foster–Lyapunov criteria for continuous-time processes
• On Feller and Strong Feller Properties and Exponential Ergodicity of Regime-Switching Jump Diffusion Processes with Countable Regimes

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