多变量分数阶捕食模型和传染病模型的Mittag-Leffler稳定性(英文)  

The Mittag Leffler Stability of Multi-variables Fractional-order Predator-prey and Rabies Models

作　　者：罗玉文[1] 虞继敏[2] 张万鹏[1] 

机构地区：[1]广西师范学院数学科学学院,广西南宁530023 [2]重庆邮电大学数理学院,重庆400065

出　　处：《广西师范学院学报（自然科学版）》2010年第2期31-38,共8页Journal of Guangxi Teachers Education University(Natural Science Edition)

基　　金：supported by the Natural Science Foundation of Chongqing(CSTC) under Grant No.2009BB3280;the National Natural Science Foundation of China under Grant No.60873200

摘　　要：讨论了多变量分数阶捕食模型和分数阶狂犬病模型稳定性.利用分数比较原则,可以得到这两个系统Mittag-Leffler稳定.This paper considers the stability of the multi-variables fractional-order predator-prey model and the fractional-order rabies model. By using the fractional comparison principle ,we can get the Mittag-Leffler Stability of the two corresponding systems.

关 键 词：捕食系统 传染病模型 分数阶微分方程 Mittag-Leffler稳定性 分数比较原理 

分 类 号：O175.1[理学—数学]