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Global asymptotic stability of an umploment model using geometric approach


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Authors

  • Sanaa El Fadily Mohammadia School of Engineering, Mohammed V University, Rabat, Morocco
  • Abdelilah Kaddar ENSA-El Jadida, Chouaib Doukali University, El Jadida,Morocco

Keywords:

Unemployment model; Nonlinear employment rate; Global stability; Geometric approach

Abstract

In this work, we study the global asymptotic stability of a nonlinear unemployment model. The nonlinearity comes from the matching process between vacancies and unemployed people. Thus, we assume that the employment rate is a general nonlinear function, which includes the bilinear form presented in the previous scientific research. We provide conditions that guarantee the existence and
uniqueness of a positive equilibrium. To study the dynamic behavior of this equilibrium, we propose Li’s geometrical approach. This technique ensures global asymptotic stability without the need to impose an additional condition. Finally, we provide numerical illustrations of our study.

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Published

2023-07-18

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How to Cite

Sanaa El Fadily, & Abdelilah Kaddar. (2023). Global asymptotic stability of an umploment model using geometric approach. Results in Nonlinear Analysis, 6(2), 159–171. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/255

Issue

Vol. 6 No. 2 (2023): volume 6 issue 2

Section

Articles

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This work is licensed under a Creative Commons Attribution 4.0 International License.