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
相关论文
共 50 条
  • [1] Global stability analysis of an unemployment model with distributed delay
    Kaslik, Eva
    Neam, Mihaela
    Vesa, Loredana Flavia
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2021, 185 (185) : 535 - 546
  • [2] Global Stability Analysis of a Five-Dimensional Unemployment Model with Distributed Delay
    Kaslik, Eva
    Neamtu, Mihaela
    Vesa, Loredana Flavia
    MATHEMATICS, 2021, 9 (23)
  • [3] Stability analysis of a squealing vibration model with time delay
    Chen, G. X.
    Liu, Q. Y.
    Jin, X. S.
    Zhou, Z. R.
    JOURNAL OF SOUND AND VIBRATION, 2008, 311 (1-2) : 516 - 536
  • [4] Stability analysis of an epidemic model with vaccination and time delay
    Turan, Mehmet
    Adiguzel, Rezan Sevinik
    Koc, F.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (14) : 14828 - 14840
  • [5] STABILITY ANALYSIS OF AN ENTERPRISE COMPETITIVE MODEL WITH TIME DELAY
    Li, Shumin
    Tan, Xiaofen
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2016, 6 (03): : 684 - 698
  • [6] Stability analysis of an atherosclerotic plaque formation model with time delay
    Chen, Yonglin
    Liu, Wenjun
    Zhao, Yongqing
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (18) : 14188 - 14215
  • [7] Stability analysis and optimal control of a cholera model with time delay
    Liao, Shu
    Fang, Fang
    JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, 2017, 22 (06) : 1055 - 1073
  • [8] Stability Analysis of Mutualism Model with Time Delay and Proportional Harvesting
    Ahmad, Rusliza
    Budin, Harun
    Ismail, Salemah
    2015 INTERNATIONAL SYMPOSIUM ON MATHEMATICAL SCIENCES AND COMPUTING RESEARCH (ISMSC), 2015, : 464 - 469
  • [9] Stability Analysis of a Worm Propagation Model with Time Delay and Quarantine
    Li, Tao
    Wang, Yuanmei
    Liu, Xiongding
    Zhan, Xisheng
    PROCEEDINGS OF THE 3RD INTERNATIONAL CONFERENCE ON MATERIAL, MECHANICAL AND MANUFACTURING ENGINEERING, 2015, 27 : 1041 - 1044
  • [10] Stability and bifurcation analysis of a discrete gompertz model with time delay
    Li, Yingguo
    World Academy of Science, Engineering and Technology, 2011, 56 : 1444 - 1447
12345