一类具有无穷时滞Lotka-Volterra模型的鲁棒稳定性和部分变元鲁棒稳定性  

Global Asymptotic Robust Stability and Partial Robust Stability for a Lotka-Volterra Model with Infinite Delays

作　　者：钟玲莉 李树勇[2] ZHONG Lingli;LI Shuyong(College of Mathematics Science,Sichuan Normal University,Chengdu 610066,Sichuan;Mianyang Teachers’ College,Mianyang 621000,Sichuan)

机构地区：[1]四川师范大学数学科学学院,四川成都610066 [2]绵阳师范学院,四川绵阳621000

出　　处：《四川师范大学学报（自然科学版）》2019年第4期460-466,共7页Journal of Sichuan Normal University（Natural Science）

基　　金：国家自然科学基金(11571245)

摘　　要：研究一类参数不确定的具有无穷时滞Lotka-Volterra模型的鲁棒稳定性和部分变元鲁棒稳定性,通过构造Lyapunov泛函,运用Lyapunov-LaSalle定理和区间动力系统稳定性理论,获得该模型全局渐近鲁棒稳定和部分变元鲁棒稳定的充分条件.最后给出数值实例,验证所得结果的有效性.This paper is devoted to the investigation of the robust stability and partial robust stability of a class of Lotka- Volterra models with infinite delays and uncertain parameters. By constructing Lyapunov functional, using Lyapunov-LaSalle type theorem and stability theory of dynamical systems on the interval, some sufficient conditions for determining the global asymptotic robust stability and partial robust stability of the system are obtained. Finally, a numerical example is given to verify the validity of the obtained results.

关 键 词：参数不确定 无穷时滞 LOTKA-VOLTERRA模型 鲁棒稳定 部分变元鲁棒稳定 

分 类 号：O175.13[理学—数学] O175.6[理学—基础数学]