时标上带有反馈控制的Lotka-Volterra竞争系统的概周期解  

Almost Periodic Solution of a Lotka-Volterra Competitive System with Feedback Control on Time Scales

作　　者：吕小俊[1] 赵凯宏[2] 滕旭[1] Lü Xiaojun;ZHAO Kaihong;TENG Xu(Department of Information,Tourism and Culture College of Yunnan University,Lijiang,Yunnan 674199,China;Faculty of Science,Kunming University of Science and Technology,Kunming 650051,China)

机构地区：[1]云南大学旅游文化学院信息学院,云南丽江674199 [2]昆明理工大学理学院,云南昆明650093

出　　处：《昆明理工大学学报（自然科学版）》2019年第5期121-131,140,共12页Journal of Kunming University of Science and Technology(Natural Science)

基　　金：国家自然科学基金项目(11161025);云南省教育厅科学研究项目(2019J0245);云南大学旅游文化学院重点项目(2015XYZ03)

摘　　要：利用时标理论研究带有反馈控制的Lotka-Volterra竞争系统的动力学特征,在持久性的基础上,通过构造合适的Lyapunov函数,我们获得该种群系统存在稳定概周期解的充分条件.从而,将该系统的概周期问题扩展到时标理论上,进一步统一了差分系统和微分系统两种不同结构.最后,给出一个例子的数值模拟验证结论的有效性.With the application of the time scales calculus theory,we studied the dynamic characteristics of a Lotka-Volterra competitive system with feedback control.Based on the permanence result,by constructing a suitable Lyapunov functional,we established sufficient conditions on the existence of stable almost periodic solution of the considered system.Thus,almost periodic problem of the system was extended to the time scale theory,and two different structures of difference system and differential system were further unified.Moreover,an example along with its numerical simulation was employed to illustrate the effectiveness of the proposed result.

关 键 词：时标 反馈控制 LOTKA-VOLTERRA竞争系统 概周期解 

分 类 号：O175.14[理学—数学]