In this paper, we have proposed and analyzed a non-linear mathematical model of the issue of unemployment by considering three main variables, namely the numbers of unemployed, employed and available vacancies. The model resembles the situation in some countries where the support of the government reaches a certain limited level where the rate of creating new jobs becomes constant and can no longer be proportional to the number of unemployed due to limited financial and economics resources. The qualitative results for the mathematical model are obtained utilizing the stability theory of nonlinear differential equations. Furthermore, some numerical simulations are illustrated to support the qualitative results.

Revised:

Accepted:

Published online:

^{1}; Al-Maalwi, Raneah

^{1}; Ashi, H. A.

^{1}

@article{CRMATH_2021__359_3_283_0, author = {Al-Sheikh, Sarah and Al-Maalwi, Raneah and Ashi, H. A.}, title = {A {Mathematical} {Model} of {Unemployment} with the {Effect} of {Limited} {Jobs}}, journal = {Comptes Rendus. Math\'ematique}, pages = {283--290}, publisher = {Acad\'emie des sciences, Paris}, volume = {359}, number = {3}, year = {2021}, doi = {10.5802/crmath.164}, language = {en}, url = {http://www.numdam.org/articles/10.5802/crmath.164/} }

TY - JOUR AU - Al-Sheikh, Sarah AU - Al-Maalwi, Raneah AU - Ashi, H. A. TI - A Mathematical Model of Unemployment with the Effect of Limited Jobs JO - Comptes Rendus. Mathématique PY - 2021 SP - 283 EP - 290 VL - 359 IS - 3 PB - Académie des sciences, Paris UR - http://www.numdam.org/articles/10.5802/crmath.164/ DO - 10.5802/crmath.164 LA - en ID - CRMATH_2021__359_3_283_0 ER -

%0 Journal Article %A Al-Sheikh, Sarah %A Al-Maalwi, Raneah %A Ashi, H. A. %T A Mathematical Model of Unemployment with the Effect of Limited Jobs %J Comptes Rendus. Mathématique %D 2021 %P 283-290 %V 359 %N 3 %I Académie des sciences, Paris %U http://www.numdam.org/articles/10.5802/crmath.164/ %R 10.5802/crmath.164 %G en %F CRMATH_2021__359_3_283_0

Al-Sheikh, Sarah; Al-Maalwi, Raneah; Ashi, H. A. A Mathematical Model of Unemployment with the Effect of Limited Jobs. Comptes Rendus. Mathématique, Volume 359 (2021) no. 3, pp. 283-290. doi : 10.5802/crmath.164. http://www.numdam.org/articles/10.5802/crmath.164/

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