维普中文期刊产品整合服务

Periodic Solution and Ergodic Stationary Distribution of Stochastic SIRI Epidemic Systems with Nonlinear Perturbations

查看全文 作　　者：ZHANG [1,2]Weiwei;MENG [1,2,3]Xinzhu;DONG [2]Yulin 高影响力作者 机构地区：[1]College of Electrical Engineering and Automation,Shandong University of Science and Technology,Qingdao 266590,China;[2]College of Mathematics and Systems Science,Shandong University of Science and Technology,Qingdao 266590,China;[3]State Key Laboratory of Mining Disaster Prevention and Control Co-founded by Shandong Province and the Ministry of Science and Technology,Shandong University of Science and Technology,Qingdao 266590,China高影响力机构 出　　处：《Journal of Systems Science & Complexity》索引2019年第32卷第4期,共21页高影响力期刊 基　　金：supported by the National Natural Science Foundation of China under Grant No.11371230;the Research Fund for the Taishan Scholar Project of Shandong Province of China;the SDUST Research Fund under Grant No.2014TDJH102 摘　　要：This paper formulates two stochastic nonautonomous SIRI epidemic systems with nonlinear perturbations.The main aim of this study is to investigate stochastic dynamics of the two SIRI epidemic systems and obtain their thresholds.For the nonautonomous stochastic SIRI epidemic system with white noise,the authors provide analytic results regarding the stochastic boundedness,stochastic permanence and persistence in mean.Moreover,the authors prove that the system has at least one nontrivial positive T-periodic solution by using Lyapunov function and Hasminskii’s theory.For the system with Markov conversion,the authors establish sufficient conditions for positive recurrence and existence of ergodic stationary distribution.In addition,sufficient conditions for the extinction of disease are obtained.Finally,numerical simulations are introduced to illustrate the main results. 关 键 词：Extinction and STOCHASTIC PERMANENCE Markov chain periodic solution stationary distribution and ERGODICITY STOCHASTIC SIRI EPIDEMIC model
相关文献

参考文献(41)

引证文献(6)

耦合文献(4)

网站首页 | 关于我们 | 联系我们 | 产品服务 | 客服中心 | 广告服务 | 版权声明 | 网站联盟 | 友情链接 | 售卡网点

版权所有© 渝B2-20050021-1　渝公网安备 50019002500403号　违法和不良信息举报中心

互联网出版许可证 新出网证(渝)字10号 全国400电话 - 免长途话费