Acta mathematica scientia, Series B >
STATIONARY DISTRIBUTION OF A STOCHASTIC SIR MODEL WITH SATURATED INCIDENCE AND ITS ASYMPTOTIC STABILITY
Received date: 2014-02-27
Revised date: 2014-10-08
Online published: 2015-05-01
Supported by
The work was supported by Program for Changjiang Scholars and Innovative Research Team in University, NSFC of China (11371085 and 11201008), and the Ph.D. Programs Foundation of Ministry of China (200918).
In this article, we consider a stochastic SIR model and show that the distributions of the solutions of the system are absolutely continuous. Furthermore, we analyze long-time behaviour of densities of the distributions of the solution. We prove that the densities can converge in L1 to an invariant density.
Key words： Diffusion process; Markov semigroups; asymptotic stability
Yuguo LIN , Daqing JIANG , Manli JIN . STATIONARY DISTRIBUTION OF A STOCHASTIC SIR MODEL WITH SATURATED INCIDENCE AND ITS ASYMPTOTIC STABILITY[J]. Acta mathematica scientia, Series B, 2015 , 35(3) : 619 -629 . DOI: 10.1016/S0252-9602(15)30008-4
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