摘要
讨论了一类与年龄相关的种群模型解的全局稳定性问题.通过Lyapunov函数、Barbashin-Krasovskii定理以及It公式证明了与年龄相关的种群模型强解的存在性,并给出了该模型零解全局稳定的充分条件,最后通过数值算例对结论进行了验证.
In this paper,we consider global stability of more general stochastic age-dependent population models.By use of Lyapunov functions,Barbashin-Krasovskii theorem,LaSalle theorem and It＇s formula to cover the stochastic age-dependent population systems having more than one weak solution.And it gives the sufficient condition for the global stability of the zero solution.Finally,the numerical example is provided to demonstrate the effectiveness of our criteria.
出处
《河南师范大学学报（自然科学版）》
CAS
北大核心
2016年第2期9-14,共6页
Journal of Henan Normal University(Natural Science Edition)
基金
国家自然科学基金(11461053
11261043)
关键词
种群模型
全局稳定性
弱解
LYAPUNOV函数
age-dependent population models
global stability
weak solution
Lyapunov function
