<?xml version="1.0" encoding="UTF-8"?><xml><records><record><source-app name="Biblio" version="7.x">Drupal-Biblio</source-app><ref-type>17</ref-type><contributors><authors><author><style face="normal" font="default" size="100%">QINGSHAN YANG</style></author><author><style face="normal" font="default" size="100%">CHUNYAN JI</style></author><author><style face="normal" font="default" size="100%">DAQING JIANG</style></author><author><style face="normal" font="default" size="100%">DONAL O’REGAN</style></author><author><style face="normal" font="default" size="100%">RAVI P. AGARWAL</style></author></authors></contributors><titles><title><style face="normal" font="default" size="100%">A NOTE ON A STOCHASTIC PERTURBED DI SIR EPIDEMIC MODEL</style></title><secondary-title><style face="normal" font="default" size="100%">Dynamic Systems and Applications</style></secondary-title></titles><keywords><keyword><style  face="normal" font="default" size="100%">Itˆo’s formula</style></keyword><keyword><style  face="normal" font="default" size="100%">Stochastic DI SIR epidemic model</style></keyword><keyword><style  face="normal" font="default" size="100%">Stochastic Lyapunov function</style></keyword></keywords><dates><year><style  face="normal" font="default" size="100%">2011</style></year><pub-dates><date><style  face="normal" font="default" size="100%">2011</style></date></pub-dates></dates><urls><web-urls><url><style face="normal" font="default" size="100%">https://acadsol.eu/dsa/articles/20/13-DSA-31-02.pdf</style></url></web-urls></urls><volume><style face="normal" font="default" size="100%">20</style></volume><pages><style face="normal" font="default" size="100%">10</style></pages><language><style face="normal" font="default" size="100%">eng</style></language><abstract><style face="normal" font="default" size="100%">&lt;p&gt;In this paper, we investigate the asymptotic behavior of a DI SIR epidemic model with a stochastic perturbation. The ergodic property is obtained by stochastic Lyapunov functions. We also make simulations to show how the solution goes around the endemic equilibrium of a deterministic system under conditions, which conform to our analytical result.&lt;/p&gt;
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