带Poisson跳和Markovian调制的年龄相关随机种群方程数值解的收敛性  

Convergence of Numerical Solutions to Stochastic Age-dependent Population Equations with Poisson Jumps and Markovian Switching

作　　者：马维军[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：《山西大学学报（自然科学版）》2011年第1期51-59,共9页Journal of Shanxi University(Natural Science Edition)

基　　金：国家自然科学基金(11061024)

摘　　要：研究了带Poisson跳和Markovian调制的年龄相关随机种群方程数值解的收敛性,在给定条件下证明了数值解收敛到解析解,并给出了Euler逼近的阶数.The convergence of numerical approximation of stochastic age-dependent population equations with Poisson jumps and Markovian switching is studied. It is proved that the numerical approximation solutions converge to the analytic solutions of the equations under the given conditions. The order of the Euler approximation is also provided.

关 键 词：与年龄相关随机种群方程 Markovian调制 POISSON跳 数值解 收敛性 

分 类 号：O211.63[理学—概率论与数理统计]