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与年龄相关的具有扩散的随机种群系统数值解的收敛性

谷晓君 张启敏

宁夏大学学报(自然科学版)2008,Vol.29Issue(3):198-202,5.
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

谷晓君 1张启敏1

作者信息

  • 1. 宁夏大学,数学计算机学院,宁夏,银川,750021
  • 折叠

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)

宁夏大学学报(自然科学版)

OA北大核心CSTPCD

0253-2328

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