复杂网络上随机禽流感模型解的存在唯一性  

The existence and uniqueness of solution for stochastic avian influenza model on complex network

作　　者：魏冬梅[1] 张启敏 任克国 许国忠 Wei Dongmei;Zhang Qimin;Ren Keguo;Xu Guozhong(Xinhua College,Ningxia University,Yinchuan 750021,China;College of Mathematics and Statistics,Ningxia University,Yinchuan 750021,China)

机构地区：[1]宁夏大学新华学院,银川750021 [2]宁夏大学数学统计学院,银川750021

出　　处：《河南师范大学学报(自然科学版)》2025年第2期54-62,共9页Journal of Henan Normal University(Natural Science Edition)

基　　金：国家自然科学基金(12161068;12261069);宁夏自然科学基金(2021AAC03065).

摘　　要：考虑到随机噪声及个体间的异质性对禽流感传播的影响,建立了复杂网络上具有标准Wiener过程影响的随机禽流感模型.应用算子半群理论研究了该模型解的适定性,证明了解的存在性、唯一性及它对初始条件的连续依赖性.Considering the impact of stochastic noise and heterogeneity between individuals on the spread of avian influenza,a stochastic avian influenza model with standard Wiener process on a complex network is established in this paper.The well-posedness of the solution of the model is studied by using the semigroup theory of operators,the existence and uniqueness of the solution and its continuous dependence on initial conditions are proved.

关 键 词：复杂网络 禽流感模型 存在性 唯一性 

分 类 号：O231[理学—运筹学与控制论]