具有时滞与反馈控制的离散模型的全局吸引性  

Global Attractivity of a Discrete Model With Delay and Feedback Control

作　　者：王丽丽 WANG Lili(Department of Basic Courses,Shanxi Vocational University of Engineering Science and Technology,Jinzhong 030619,China)

机构地区：[1]山西工程科技职业大学基础课教学部,山西晋中030619

出　　处：《忻州师范学院学报》2024年第5期26-30,共5页Journal of Xinzhou Teachers University

摘　　要：近几年来,具有反馈控制和时滞的单种群或者多种群微分方程系统得到了很多学者的关注。但是关于具有反馈控制的单种群或多种群离散模型的研究内容比较少。已有成果研究了具有时滞和反馈控制非自治系统,结果表明合适的反馈控制能够使种群在很长时间内共存。受此启发,文章讨论了一类具有时滞与反馈控制的离散单种群模型。借助差分方程比较原理,微分中值定理以及构造适当的Lyapunov泛函的方法,得到系统全局吸引的充分条件。In recent years,great attention has been paid to the single species or multi species system of differential equations with feed-back control.However,the study of single species or multi species system of difference equations with feedback control is less.Re-cently,a non-autonomous system with delay and feedback control were discussed.The results of research shows that one can choose suit-able controls to make the species coexistence in the long time.In this paper,a single species discrete model with feedback control and delay is discussed.Using the differential equations comparison theorem and constructing the appropriate Lyapunov function,sufficient conditions for global attractivity of the single species is obtained.

关 键 词：时滞 反馈控制 离散 LYAPUNOV泛函 全局吸引 

分 类 号：O193[理学—数学]