宁夏大学学报(自然科学版)2008,Vol.29Issue(3):198-202,5.
与年龄相关的具有扩散的随机种群系统数值解的收敛性
Convergence of Numerical Solutions to Stochastic Age-structured Population System with Diffusion
摘要
Abstract
In general, most of stochastic age-structured population system with diffusion do not have explicit solutions, thus numerical approximation schemes are invaluable tools for exploring their properties. The main purpose of this paper is to give a numerical scheme. By applying the theory of stochastic functional differential equation and using Gronwall lemma and Barkholder-Davis-Gundy lemma, the convergence of the numerical approximation solution to the true solution is proved for a class of stochastic age-dependent population dynamic system. In particular, the results are extension of the existing results for ordinary age-dependent population dynamic system.关键词
随机种群系统/解析解/数值解Key words
stochastic age-structured population system/true solution/numerical solutions分类
数理科学引用本文复制引用
谷晓君,张启敏..与年龄相关的具有扩散的随机种群系统数值解的收敛性[J].宁夏大学学报(自然科学版),2008,29(3):198-202,5.基金项目
Supported by Education Ministry Science and Technology Research Key Foundation (208160) (208160)