一类分数阶捕食模型的稳定性  

The Asymptotic Stability of a Class of Fractional Order Predator-prey Model

作　　者：黄郑[1] 程媛媛[1] 蒋威[1] 

机构地区：[1]安徽大学数学科学学院,合肥230601

出　　处：《合肥学院学报（自然科学版）》2013年第1期8-11,共4页Journal of Hefei University :Natural Sciences

基　　金：国家自然科学基金项目(11071001);高校博士点专项科研基金(20093401110001);安徽省高校重大项目(KJ2010ZD02);安徽大学青年科学研究基金项目(KJQN1001)资助

摘　　要：主要研究了一类分数阶Volterra-Lotka捕食模型的渐近稳定性,通过Krasovskii方法构造出Lyapunov函数,证明了捕食模型在一定条件下的渐近稳定性.该方法不需要求解方程,克服了求解方程的复杂与困难,取得了良好的效果.A class of fractional differential equation of predator-prey is researched in this paper. The asymptotic stability of fractional differential equation is proved under certain conditions by a Lyapunov function which is established by Krasovskii method. The method does not require solving equations and overcome the complexity and difficulty of solving equations, and achieved good results.

关 键 词：分数阶微分方程 渐近稳定性 LYAPUNOV函数 

分 类 号：O175.13[理学—数学]