Stochastic analysis of a SIRI epidemic model with double saturated rates and relapse

DOI10.1007/s12190-021-01646-2zbMath1496.92126OpenAlexW3209006788MaRDI QIDQ2089233

Yan Zhang, Shujing Gao, Shi-hua Chen

Publication date: 6 October 2022

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-021-01646-2

zbMATH Keywords

extinctionstationary distributionrelapseSIRI epidemic model

Mathematics Subject Classification ID

Epidemiology (92D30) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Nonlinear ordinary differential operators (34L30)

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Cites Work

• Unnamed Item
• The threshold of a stochastic SIS epidemic model with vaccination
• Analysis of a stochastic tri-trophic food-chain model with harvesting
• Stability of a delayed SIRS epidemic model with a nonlinear incidence rate
• Global stability of a delayed SEIRS epidemic model with saturation incidence rate
• Stochastic stability of differential equations. With contributions by G. N. Milstein and M. B. Nevelson
• Survival analysis of stochastic competitive models in a polluted environment and stochastic competitive exclusion principle
• Persistence in fluctuating environments
• Optimal harvesting of a stochastic mutualism model with Lévy jumps
• Global asymptotic stability of a delayed SEIRS epidemic model with saturation incidence
• Modeling relapse in infectious diseases
• A delay SIR epidemic model with pulse vaccination and incubation times
• Influence of nonlinear incidence rates upon the behavior of SIRS epidemiological models
• A generalization of the Kermack-McKendrick deterministic epidemic model
• Persistence and extinction for a class of stochastic SIS epidemic models with nonlinear incidence rate
• A remark on stationary distribution of a stochastic SIR epidemic model with double saturated rates
• Dynamics analysis and numerical simulations of a stochastic non-autonomous predator-prey system with impulsive effects
• Application of stochastic inequalities to global analysis of a nonlinear stochastic SIRS epidemic model with saturated treatment function
• Stochastic stability and instability of an epidemic model with relapse
• Global behavior of an SEIRS epidemic model with time delays
• A general model for stochastic SIR epidemics with two levels of mixing
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Is the Allee effect relevant to stochastic cancer model?
• Stochastic periodic solution for a perturbed non-autonomous predator-prey model with generalized nonlinear harvesting and impulses
• A Lyapunov functional for a SIRI model with nonlinear incidence of infection and relapse
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• Stationary distribution of a stochastic SIS epidemic model with double diseases and the Beddington-DeAngelis incidence

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