与年龄相关的模糊随机种群扩散系统的指数稳定性  

Exponential Stability of Stochastic Fuzzy Age-structured Population System with Diffusion

作　　者：申芳芳[1] 张启敏[1,2] 杨洪福[1] 李西宁[2] 

机构地区：[1]北方民族大学数学与信息科学学院,宁夏银川750021 [2]宁夏大学数学与计算机学院,宁夏银川750021

出　　处：《数学的实践与认识》2014年第7期187-195,共9页Mathematics in Practice and Theory

基　　金：宁夏回族自治区自然科学基金(NZ12127)

摘　　要：讨论了一类与年龄相关的模糊随机种群扩散系统,系统受两种不确定性因素的影响,即随机和模糊.在有界和Lipschitz条件下,利用Ito公式和Gronwall引理,建立了均方意义下与年龄相关的模糊随机种群扩散系统指数稳定性的判定准则并通过数值例子对所给出的结论进行了验证.In this paper, we introduce a class of stochastic fuzzy age-structured popula- tion system with diffusion. Where the phenomena is subjected to two kinds of uncertainties： stochastic and fuzziness, simultaneously. Under linear growth condition and Lipschitz condi- tion, and by means of Ito formula and Gronwall-type lemma, some criterion are established for exponential stability of stochastic fuzzy age-structured population system with diffusion in the mean square. Finally, we give a stochastic fuzzy age-dependeat population equation example to illustrate our exponential stability.

关 键 词：均方稳定 模糊随机种群系统 ITO公式 GRONWALL引理 

分 类 号：O211.63[理学—概率论与数理统计]