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Global stability analysis of an unemployment model with distributed delay

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  • Kaslik, Eva
  • Neamţu, Mihaela
  • Vesa, Loredana Flavia

Abstract

A mathematical model with distributed time delay describing the labour market is investigated, focusing on the asymptotic stability of the unique positive equilibrium point. The positivity and boundedness of the solutions are proved and the local stability analysis reveals that the positive equilibrium point is asymptotically stable, regardless of the distributed time delay considered in the model. Moreover, the construction of a suitable Lyapunov function leads to global asymptotic stability results. Numerical simulations are presented with the aim of substantiating the theoretical statements.

Suggested Citation

  • Kaslik, Eva & Neamţu, Mihaela & Vesa, Loredana Flavia, 2021. "Global stability analysis of an unemployment model with distributed delay," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 185(C), pages 535-546.
    • Handle: RePEc:eee:matcom:v:185:y:2021:i:c:p:535-546
    DOI: 10.1016/j.matcom.2021.01.010
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    References listed on IDEAS

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    Cited by:

    1. Eva Kaslik & Mihaela Neamţu & Anca Rădulescu, 2022. "Preface to the Special Issue on “Advances in Differential Dynamical Systems with Applications to Economics and Biology”," Mathematics, MDPI, vol. 10(19), pages 1-3, September.
    2. Culda, Loredana Camelia & Kaslik, Eva & Neamţu, Mihaela, 2022. "Stability and bifurcations in a general Cournot duopoly model with distributed time delays," Chaos, Solitons & Fractals, Elsevier, vol. 162(C).
    3. Eva Kaslik & Mihaela Neamţu & Loredana Flavia Vesa, 2021. "Global Stability Analysis of a Five-Dimensional Unemployment Model with Distributed Delay," Mathematics, MDPI, vol. 9(23), pages 1-15, November.
    4. Njike-Tchaptchet, Eric Rostand & Tadmon, Calvin, 2023. "Mathematical modeling of the unemployment problem in a context of financial crisis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 241-262.

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