具有年龄结构随机种群系统数值解的渐近有界性  

ASYMPTOTIC BOUNDEDNESS OF THE NUMERICAL SOLUTIONS OF STOCHASTIC AGE-DEPENDENT POPULATION SYSTEM

作　　者：辛志贤 张启敏 李强 哈金才 XIN Zhixian;ZHANG Qimin1;LI Qiang;HA Jincai(School of Mathematics and Information Science, Beifang University for Nationalities,Yinchuan 750021, China;College of Mathematics and Statistics, Ningxia University, Yinchan 750021, China)

机构地区：[1]北方民族大学数学与信息科学学院,宁夏银川750021 [2]宁夏大学数学统计学院,宁夏银川750021

出　　处：《数学杂志》2018年第1期147-154,共8页Journal of Mathematics

基　　金：国家自然科学基金资助(11461053;11261043);宁夏高等学校基金资助(NGY20140152)

摘　　要：本文研究了一类具有年龄结构的随机种群系统的数值解问题.在线性增长条件下,利用Euler-Maruyama(EM)方法讨论了具有年龄结构的随机种群系统的数值解的p阶矩渐近有界性,并获得了渐近有界性准则.最后,通过数值算例对所得的结论进行了验证.A class of stochastic age-dependent population system is studied in this paper.Under linear growth condition,we discuss the p-th asymptotic boundedness of the numerical solu-tions for stochastic age-dependent population system and establish a criterion for the asymptotical boundedness by using Euler-Maruyama(EM)method.Finally,numerical example is presented to demonstrate the accuracy of the conclusion.

关 键 词：随机种群系统 线性增长条件 EULER-MARUYAMA方法 p阶矩渐近有界性 

分 类 号：O193[理学—数学]