一类不完全免疫的羊布鲁氏菌病随机模型的平稳分布与灭绝性  

Stationary Distribution and Extinction of a Stochastic Sheep Brucellosis Model with Imperfect Vaccination

作　　者：迪丽娜尔阿依·伊斯坎代尔 夏米西努尔·阿布都热合曼[1] Dilnaray Iskender;Xamxinur Abdurahman(College of Mathematics and Systems Science,Xinjiang University,Urumqi 830046,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《数学的实践与认识》2021年第17期161-174,共14页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11861063)。

摘　　要：通过引入环境白噪声对确定性布鲁氏菌病模型的影响,提出了一个随机的SVEIB布鲁氏菌病模型.首先,得到了模型全局正解的存在唯一性.其次建立了疾病灭绝的充分条件.进一步通过构造适当的Lyapunov函数,得到了模型遍历平稳分布的存在性.In this paper,we proposed a stochastic SVEIB brucellosis model by introducing the effect of environmental white noise on transmission dynamics of brucellosis.First of all,the existence and uniqueness of the global positive solution are obtained.Then,sufficient condition for the extinction of the disease is derived.Moreover,by establishing appropriate Lyapunov function,the existence of a stationary distribution is proved.

关 键 词：随机布鲁氏菌病模型 白噪声 灭绝性 LYAPUNOV函数 平稳分布 

分 类 号：O211.6[理学—概率论与数理统计] S858.26[理学—数学]