Stability analysis of an unemployment model with time delay

被引：11
作者：
Petaratip, Tawatchai [1 ]
Niamsup, Piyapong [1 ,2 ]
机构：
[1] Chiang Mai Univ, Dept Math, Chiang Mai 50200, Thailand
[2] Chiang Mai Univ, Res Ctr Math & Appl Math, Fac Sci, Dept Math, Chiang Mai 50200, Thailand
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 07期
关键词：
mathematical model; unemployment; time delay; global stability; Lyapunov functional; MATHEMATICAL-MODEL; HIV-INFECTION; DYNAMICS;
D O I：
10.3934/math.2021434
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we have developed and analyzed an unemployment model of differential equations with time delay, taking into consideration the role of government for the support of vacancies creation. We investigated the dynamic behavior of the model system and carried out a stability analysis. Conditions for the nonexistence of delay induced instability and the local asymptotic stability of the positive equilibrium points are derived. Moreover, sufficient conditions for global asymptotic stability of the positive equilibrium points are obtained. Numerical results have been given to show the effectiveness of the theoretical results.
引用
收藏
页码：7421 / 7440
页数：20
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