带Poisson跳的随机种群扩散系统半隐式欧拉方法的数值解  

The Semi-implicit Euler Method for A Stochastic Age-structured Population System with Poisson Jump

作　　者：马东娟[1] 张启敏[1] 

机构地区：[1]宁夏大学数学计算机学院,宁夏银川750021

出　　处：《宁夏大学学报（自然科学版）》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)

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.

关 键 词：随机种群扩散系统 半隐式欧拉方法 POISSON跳 数值解 

分 类 号：O211.63[理学—概率论与数理统计]