DYNAMIC ANALYSIS OF AN SIR MODEL WITH STOCHASTIC PERTURBATIONS

DOI10.1142/S1793524513500411zbMath1280.92063OpenAlexW2119310517MaRDI QIDQ5397038

Yalan Xu, Jinliang Wang, Zhenjie Liu, Guo Qiang Li

Publication date: 5 February 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524513500411

zbMATH Keywords

asymptotic behaviorstochastic Lyapunov functionItô's formulaepidemiological model

Mathematics Subject Classification ID

Epidemiology (92D30) Periodic solutions to ordinary differential equations (34C25) Ordinary differential equations and systems with randomness (34F05)

Related Items (1)

Analysis of Stochastic Bifurcations in the Eco-Epidemiological Oscillatory Model with Weak Allee Effect

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The asymptotic behavior of stochastically perturbed DI SIR epidemic models with saturated incidences
• The ergodicity and extinction of stochastically perturbed SIR and SEIR epidemic models with saturated incidence
• On the definition and the computation of the basic reproduction ratio \(R_ 0\) in models for infectious diseases in heterogeneous populations
• A stochastic model of AIDS and condom use
• Mathematical epidemiology.
• Population dynamical behavior of non-autonomous Lotka-Volterra competitive system with random perturbation
• The differential infectivity and staged progression models for the transmission of HIV
• Dynamical behavior of an epidemic model with a nonlinear incidence rate
• Stochastic population dynamics under regime switching
• The long time behavior of DI SIR epidemic model with stochastic perturbation
• An Algorithmic Introduction to Numerical Simulation of Stochastic Differential Equations
• A Stochastic Differential Equation SIS Epidemic Model

This page was built for publication: DYNAMIC ANALYSIS OF AN SIR MODEL WITH STOCHASTIC PERTURBATIONS