复杂网络上随机SIS模型的渐近行为  

Asymptotic behavior of the stochastic SIS model on the complex network

作　　者：王焱 刘桂荣[1] WANG Yan;LIU Gui-rong(School of Mathematical Sciences,Shanxi University,Taiyuan 030006,China)

机构地区：[1]山西大学数学科学学院,山西太原030006

出　　处：《云南民族大学学报（自然科学版）》2021年第3期245-250,共6页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：国家自然科学基金(11971279)。

摘　　要：研究了复杂网络上具有不同恢复率的随机SIS模型.利用Lyapunov方法和Itô公式给出了模型全局正解的存在唯一性;通过构造合适的Lyapunov函数,得到了零解的随机全局渐近稳定性和模型的随机持久性的条件.最后,通过数值模拟验证了理论结果.This paper studies the stochastic SIS model with different recovery rates on the complex network. The existence and uniqueness of the global positive solution of the model are given by using the Lyapunov method and It8 formula. Then by a suitable Lyapunov function, the conditions for the stochastic asymptotic stability in the large of the zero solution and the stochastic permanence of the model are obtained. Finally, the theoretical results are verified by numerical simulation.

关 键 词：复杂网络 随机SIS模型 LYAPUNOV函数 随机全局渐近稳定性 随机持久性 

分 类 号：O211.63[理学—概率论与数理统计]