A five-dimensional unemployment model with two distributed time delays

Harding, Liliana ORCID: https://orcid.org/0000-0002-9031-7751, Kaslik, Eva, Neamtu, Mihaela and Vesa, Loredana Flavia (2024) A five-dimensional unemployment model with two distributed time delays. Mathematical Methods in the Applied Sciences, 47 (11). pp. 8969-8984. ISSN 0170-4214

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Abstract

The purpose of this paper is to build and analyze a model of labor market slack considering unemployment along with employment in which the number of hours is limited to a level below that preferred by employees. We thus have “underemployment” along with unemployment. We analyze the need for potential policy action directed at the reduction of unemployment, simultaneous with an autonomous process of labor market job creation and migration. We model delays in labor market responses to past unemployment and vacancies creation and capture the effect on unemployment through a non-linear dynamic system. We observe not only job separation and matching but also movement into and out of underemployment. The model allows for migration in an open economy context. We analyze the stability behavior of the resulting equilibria for our dynamic system, including Dirac and weak kernels.

Item Type: Article
Uncontrolled Keywords: underemployment,unemployment,job creation,dynamic systems,delay,distributed delays,migration,hopf bifurcation,engineering(all),mathematics(all),sdg 8 - decent work and economic growth,sdg 10 - reduced inequalities ,/dk/atira/pure/subjectarea/asjc/2200
Faculty \ School: Faculty of Social Sciences > School of Economics
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Depositing User: LivePure Connector
Date Deposited: 25 Apr 2024 09:30
Last Modified: 17 Jun 2024 16:30
URI: https://ueaeprints.uea.ac.uk/id/eprint/95002
DOI: 10.1002/mma.10054

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