稀疏效应下具有脉冲时滞Logistic模型的持久性与全局吸引性  

The Model with Impulse Delay of Single-Population Under Crowding Effect

作　　者：闫岩 桂占吉[2] 王凯华[3] YAN Yan;GUI Zhan-ji;WANG Kai-hua(Networking Acadermy,Haikou college of Economics,Haikou 570100,China;Department of Software Engineering,Hainan College of Software Technology,Qionghai 571400,China;School of Mathematics and Statistics,Hainan Normal University,Haikou 570100,China)

机构地区：[1]海口经济学院网络学院,海南海口570100 [2]海南软件职业技术学院软件工程系,海南琼海571400 [3]海南师范大学数学与统计学院,海南海口570100

出　　处：《数学的实践与认识》2021年第8期295-304,共10页Mathematics in Practice and Theory

基　　金：海南省自然科学基金(117164,118MS085);海口经济学院校级科学研究项目(HJK(YB)20-25)。

摘　　要：研究一类稀疏效应下具有脉冲时滞Logistic模型,通过数学分析方法得到相应稀疏效应下自治Logistic模型解的最大值和最小值.利用比较定理,构造适当的李雅普诺夫泛函,基于稀疏效应下Logistic模型解的有界性,讨论模型的持久性和全局吸引性.给出一个算例并进行数值模拟,验证所得到的结果.First of all,through mathematics analysis,the paper obtains the extreme values of the solutions of the autonomous system of single-population which is under the corresponding undercrowding effect.What’s more,by applying comparison theorem,the paper constructs the appropriate Lyapunov functionals,which are based on the boundedness of single-population model solutions which is under the undercrowding effect.We research the global attractivity and the permanence of the system.At last,the paper gives an example,carry.

关 键 词：持久性 全局吸引性 脉冲 时滞 

分 类 号：O175[理学—数学]