与年龄相关的模糊随机种群扩散系统的数值解  

Convergence of Numerical Solutions to Fuzzy Stochastic Age-structured Population System with Diffusion

作　　者：杨洪福[1] 张启敏[1,2] 申芳芳[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：《模糊系统与数学》2015年第1期74-82,共9页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(11261043;11461053);宁夏自然科学基金资助项目(NZ13051)

摘　　要：讨论了一类与年龄相关的模糊随机种群扩散系统的数值解。系统同时受两种不确定性因素的影响。即,随机和模糊。并根据Euler-Maruyama方法给出了模糊随机种群扩散系统的数值解表达式,在有界的条件(弱于线性增长条件)和Lipschitz条件下,证明了方程的数值解在均方意义下收敛于解析解。通过例子对本文的算法进行了验证。This paper discusses numerical solutions of fuzzy stochastic age-structured population system with diffusion, where the phenomena is subjected to two sorts of uncertainty： stochastic and fuzziness. The Euler-Maruyama method is used to define the numerical solutions, and under a boundedness condition, which is weaker than linear growth condition, and the Lipschitz condition, we proved convergence of numerical solutions to the true solution. At last, an example is given for verifying the algorithm of this paper.

关 键 词：模糊随机种群系统 LIPSCHITZ条件 有界条件 数值解 扩散 

分 类 号：O211[理学—概率论与数理统计]