Dynamic Analysis of a Logarithmic Population Model with Piecewise Constant Arguments

被引：0
|
作者：
Liao, Yongzhi [1 ]
Tang, Qilin [1 ]
Wu, Guofang [2 ]
Zhang, Tianwei [3 ]
机构：
[1] Panzhihua Univ, Sch Math & Comp Sci, Panzhihua 617000, Sichuan, Peoples R China
[2] Panzhihua Univ, Affiliated Hosp, Panzhihua 617000, Sichuan, Peoples R China
[3] Kunming Univ Sci & Technol, City Coll, Kunming 650051, Yunnan, Peoples R China
来源：
ENGINEERING LETTERS | 2019年 / 27卷 / 03期
关键词：
Logarithmic population model; Stability; Boundedness; Semicycle; Damped oscillation; POSITIVE PERIODIC-SOLUTIONS; EXISTENCE; EQUATIONS; STABILITY; SYSTEM;
D O I：
暂无
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we consider a logarithmic population model with piecewise constant arguments. First, we study the uniqueness and existence range of the equilibrium point of the model. After that, by using the linearized stability theorem, the semicycle property and a suitable Lyapunov function, some sufficient conditions are obtained for the local and global asymptotic stability of the equilibrium point and the damped oscillation of positive solutions of the model. Finally, some examples with computer simulations are given to illustrate the main results in this paper.
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页码：639 / 645
页数：7
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