一个具有随机传染率艾滋病模型的渐近行为(英文)  

Asymptotic Behavior of a AIDS Model with Stochastic Transmission

作　　者：邹晓玲[1] 李文学[1] 王克[1,2] 杨宏伟[1] 

机构地区：[1]哈尔滨工业大学(威海)数学系,山东威海264209 [2]东北师范大学数理统计学院,吉林长春130024

出　　处：《生物数学学报》2013年第1期1-7,共7页Journal of Biomathematics

基　　金：Supported by NNSF of PR China(No.10701020);National Natural Science Foundation of P.R.China(No.11171081),(No.11171056),(No.11126219),(No.11001032) (No.11101183);Shandong Provincial Natural Science Foundation of China (Grant No.ZR2011AM004)

摘　　要：研究了艾滋病传播的随机模型.我们给出了一个条件,在这个条件下,无论环境干扰有多强,随机Logistic方程的平凡解是渐近稳定的.我们的结论与Roberts和Saha的结论构成对艾滋病传播模型的一个完整的分析.A stochastic model for AIDS is considered in this paper. We give a condition under which the solution of the corresponding stochastic logistic equation will tend to the trivial solution asymptotically with probability 1 no matter how strongly the environmental disturbance is. Our conclusion together with Roberts and Saha＇s make up of a full analysis of the stochastic model for AIDS transmission.

关 键 词：随机 LOGISTIC方程 艾滋病 

分 类 号：O211.63[理学—概率论与数理统计] O29[理学—数学]