分数阶与年龄相关的随机种群系统的逼近控制  

Approximate Controllability of Fractional Stochastic Age-Dependent Population Systems

作　　者：马婧[1] 张启敏[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《数学的实践与认识》2015年第6期230-239,共10页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11461053;11261043)

摘　　要：讨论了一类分数阶与年龄相关的随机种群系统的逼近控制.通过不动点原理,分数阶性质和随机微分方程基本理论,建立了分数阶与年龄相关的随机种群控制系统弱解存在的必要条件,并给出了该系统逼近控制的条件,最后通过数值例子对所给出的结论进行了验证.In this paper,we introduce the approximate controllability of a class of fractional stochastic age-dependent population dynamic system.Using fixed point principle,fractional calculations,basic theory of stochastic differential equation,the new sufficient conditions for weak solution of fractional stochastic age-dependent population system is formulated,and also have given the conditions that the system is a approximate controllability.Finally,an example is provided to show the application of our result.

关 键 词：分数阶微分方程 随机种群系统 逼近控制 不动点原理 

分 类 号：O241.5[理学—计算数学]