随机种群模型数值解的均方散逸性  

Mean-Square Dissipativity of two Numerical Methods for Stochastic Age-Dependent Population Equations with Jumps

作　　者：杨莉[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：《数学的实践与认识》2016年第11期236-242,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11461053;11261043)

摘　　要：讨论了随机种群模型数值解的均方散逸性,基于步长受限制和无限制的两种条件,利用补偿的和无补偿的数值方法研究了随机种群模型数值解的均方散逸性.从而得出补偿的数值算法更适合解决随机种群模型数值解的均方散逸性问题.In this paper,we consider mean-square dissipativity of two numerical methods for stochastic age-dependent population equations with jumps.Based on the step length under the condition of hmited and unlimited,it is essential for studying the mean-square dissipativity to use two numerical methods for stochastic age-dependent population equations with jumps.Finally,it is concluded that compensated numerical methods is more suitable for solving problems of mean-square dissipativity about stochastic age-dependent population equations with jumps.

关 键 词：随机种群模型 数值算法 补偿的数值算法 均方散逸性 

分 类 号：O241.8[理学—计算数学]