与年龄相关的模糊随机种群扩散系统解的存在性和唯一性  

Existence and Uniqueness of Solutions for Stochastic Fuzzy Age-Structured Population System with Diffusion

作　　者：杨洪福[1] 张启敏[1,2] 申芳芳[1] 杨莉[1] 

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：《内蒙古师范大学学报（自然科学汉文版）》2015年第3期298-303,共6页Journal of Inner Mongolia Normal University(Natural Science Edition)

基　　金：宁夏自然科学基金资助项目(NZ12208)

摘　　要：介绍了一类与年龄相关的模糊随机种群扩散系统,它同时受随机和模糊两种不确定性因素的影响.在有界条件(弱于线性增长条件)和Lipschitz条件下,运用Picard迭代法证明了与年龄相关的模糊随机种群扩散系统解的存在唯一性,并且给出Picard迭代近似解误差的估计式.In this paper,we introduce a class of stochastic fuzzy age-structured population system with diffusion.Where the phenomena are subjected to two kinds of uncertainties：stochastic and fuzziness,simultaneously.Under a boundedness condition,which is weaker than linear growth condition,and the Lipschitz condition we obtain existence and uniqueness of solution to stochastic fuzzy age-structured population system with diffusion.Solutions,which are fuzzy stochastic processes,and their uniqueness are considered to be in a strong sense.An estimation on the error of approximate solution of the Picard iteration is given.

关 键 词：模糊随机种群系统 存在性 唯一性 扩散 Picard迭代 

分 类 号：O211.63[理学—概率论与数理统计]