Sharp threshold of a multi-group susceptical infective and removal model by stochastic perturbation
ZHONG Xiao-jing
DENG Fei-qi
Abstract：For a stochastic differential equation epidemic model of multi-group susceptical infective and removal (SIR) type, we define the basic reproduction number RS0 and show that it is a sharp threshold for the dynamics of the stochastic multi-group SIR model which determines whether the epidemic occurs or not. Our analytic results of stochastic stabilization applies a new viable measure to disease control. Furthermore, we investigate the global asymptotic behaviour of the disease. Finally we give numerical simulation to illustrate our analytical results.
Keywords：stochastic multi-group SIR modelsharp thresholdasymptotically stablestochastic stabilization
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：9( 1303-1311 )