| 跳扩散种群系统的数值解 |
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| 引用本文： | 郭书东,张启敏.跳扩散种群系统的数值解[J].河南科技大学学报(自然科学版),2009,30(5). |
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| 作者姓名： | 郭书东 张启敏 |
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| 作者单位： | 1. 北方民族大学,信息与计算科学学院,宁夏,银川,750021
2. 北方民族大学,信息与计算科学学院,宁夏,银川,750021;宁夏大学,数学与计算机学院,宁夏,银川,750021 |
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| 基金项目： | 教育部重点基金项目(208160);;宁夏自然科学基金项目(NZ0835) |
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| 摘 要： | 讨论了一类带有泊松跳的时变随机种群系统的数值解问题,根据Euler-Maruyama方法给出了跳扩散时变随机种群系统的数值解表达式,在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。
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| 关 键 词： | Poisson跳 随机种群系统 Lipschitz条件 数值解 |
Numerical Solution of Stochastic Population System with Poisson Jumps |
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| GUO Shu-Dong,ZHANG Qi-Min.Numerical Solution of Stochastic Population System with Poisson Jumps[J].Journal of Henan University of Science & Technology:Natural Science,2009,30(5). |
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| Authors: | GUO Shu-Dong ZHANG Qi-Min |
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| Institution: | 1.Information & Computation Science College;The North University for Ethnics;Yinchuan 750021;China;2.Mathematics & Computer Science College;Ningxia University;China |
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| Abstract: | In this paper,the numerical solutions of stochastic population system with Poisson jumps are studied.The Euler-Maruyama method is used to define the numerical solutions for stochastic population system with Poisson jumps.Then the convergence of the numerical solutions to the true solutions is proved under Lipschitz condition. |
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| Keywords: | Poisson jumps Stochastic population system Lipschitz condition Numerical solutions |
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