Global Stability Analysis of a Five-Dimensional Unemployment Model with Distributed Delay

Eva Kaslik, Mihaela Neamţu and Loredana Flavia Vesa
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Eva Kaslik: Department of Mathematics and Computer Science, West University of Timişoara, 300223 Timișoara, Romania
Mihaela Neamţu: Department of Economics and Business Administration, West University of Timişoara, 300223 Timişoara, Romania
Loredana Flavia Vesa: Department of Mathematics and Computer Science, West University of Timişoara, 300223 Timișoara, Romania

Mathematics, 2021, vol. 9, issue 23, 1-15

Abstract: The present paper proposes a five-dimensional mathematical model for studying the labor market, focusing on unemployment, migration, fixed term contractors, full time employment and the number of available vacancies. The distributed time delay is considered in the rate of change of available vacancies that depends on the past regular employment levels. The non-dimensional mathematical model is introduced and the existence of the equilibrium points is analyzed. The positivity and boundedness of solutions are provided and global asymptotic stability findings are presented both for the employment free equilibrium and the positive equilibrium. The numerical simulations support the theoretical results.

Keywords: unemployment model; global stability; Lyapunov function; distributed delay (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2021
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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