| 带Poisson跳的随机种群扩散系统半隐式欧拉方法的数值解 |
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| 引用本文： | 马东娟,张启敏. 带Poisson跳的随机种群扩散系统半隐式欧拉方法的数值解[J]. 宁夏大学学报(自然科学版), 2010, 31(3): 207-212 |
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| 作者姓名： | 马东娟 张启敏 |
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| 作者单位： | 宁夏大学数学计算机学院,宁夏银川,750021 |
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| 基金项目： | 教育部重点基金资助项目，宁夏自然科学基金资助项目 |
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| 摘 要： | 讨论了带Poisson跳的随机种群扩散系统,利用It公式、Burkholder-Davis-Gundy不等式、Gronwall引理及一些不等式,根据半隐式欧拉方法,证明了带Poisson跳的随机种群扩散系统数值解的收敛性.最后,通过数值算例对数值方法进行了说明.
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| 关 键 词： | 随机种群扩散系统 半隐式欧拉方法 Poisson跳 数值解 |
The Semi-implicit Euler Method for A Stochastic Age-structured Population System with Poisson Jump |
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| Ma Dongjuan,Zhang Qimin. The Semi-implicit Euler Method for A Stochastic Age-structured Population System with Poisson Jump[J]. Journal of Ningxia University(Natural Science Edition), 2010, 31(3): 207-212 |
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| Authors: | Ma Dongjuan Zhang Qimin |
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| Affiliation: | (School of Mathematics and Computer Science,Ningxia University,Yinchuan 750021,China) |
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| Abstract: | In this paper,stochastic age-structured population system with jump are studied.It is proved that the semi-implicit Euler approximation solutions converge to the analytic solution for the stochastic age-structured population system with Poisson jump.An example is given for illustration.The analysis use It＇s formula,Burkholder-Davis-Gundy＇s inequality and some special inequalities for the purposes. |
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| Keywords: | stochastic age-structured population system semi-implicit Euler method Poisson jump numerical solution |
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