文章基本信息

标题：Dynamic Analysis of a Logarithmic Population Model with Piecewise Constant Arguments
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作者：Yongzhi Liao ; Qilin Tang ; Guofang Wu 等
期刊名称：Engineering Letters
印刷版ISSN：1816-093X
电子版ISSN：1816-0948
出版年度：2019
卷号：27
期号：3
页码：639-645
出版社：Newswood Ltd
摘要：In this paper, we consider a logarithmic populationmodel with piecewise constant arguments. First, we study theuniqueness and existence range of the equilibrium point of themodel. After that, by using the linearized stability theorem, thesemicycle property and a suitable Lyapunov function, somesufficient conditions are obtained for the local and globalasymptotic stability of the equilibrium point and the dampedoscillation of positive solutions of the model. Finally, someexamples with computer simulations are given to illustrate themain results in this paper.
关键词：Logarithmic population model; Stability;Boundedness; Semicycle; Damped oscillation