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带Poisson跳的随机种群扩散系统半隐式欧拉方法的数值解 被引量：1

The Semi-implicit Euler Method for A Stochastic Age-structured Population System with Poisson Jump
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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. 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.
作者 马东娟 张启敏
机构地区 宁夏大学数学计算机学院
出处 《宁夏大学学报（自然科学版）》 CAS 北大核心 2010年第3期207-212,共6页 Journal of Ningxia University(Natural Science Edition)
基金 教育部重点基金资助项目(208160) 宁夏自然科学基金资助项目(NZ0835)
关键词 随机种群扩散系统 半隐式欧拉方法 POISSON跳 数值解 stochastic age-structured population system semi-implicit Euler method Poisson jump numerical solution
分类号 O211.63 [理学—概率论与数理统计]
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参考文献9

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二级参考文献13

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宁夏大学学报（自然科学版）
2010年 第3期

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