Global stability analysis of an unemployment model with distributed delay

Eva Kaslik, Mihaela Neamţu and Loredana Flavia Vesa

Mathematics and Computers in Simulation (MATCOM), 2021, vol. 185, issue C, 535-546

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.

Keywords: Unemployment model; Distributed delay; Lyapunov function; Global asymptotic stability (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:185:y:2021:i:c:p:535-546

DOI: 10.1016/j.matcom.2021.01.010

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