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Study of the unemployment problem by mathematical modeling: Predictions and controls
The Journal of Mathematical Sociology ( IF 1 ) Pub Date : 2021-07-06 , DOI: 10.1080/0022250x.2021.1931173
H. A. Ashi 1 , Raneah M. Al-Maalwi 1 , Sarah Al-Sheikh 1
Affiliation  

ABSTRACT

One problem that has become a concern for governments around the world is unemployment. We illustrate the problem using a nonlinear system of differential equations considering three dynamical variables: the number of unemployed people, the number of employees and the number of available vacancies. We find that the system possesses one positive equilibrium point which is locally and globally stable under certain conditions. We identify the employment rate and the rate of creating new vacancies that is required to reach the unemployment rate of 7% in agreement with the efforts of governments to attain low unemployment levels.keywords: Unemployment; Stability; Routh Hurwitz; Lyapunov function; Numerical simulation



中文翻译:

通过数学模型研究失业问题:预测与控制

摘要

失业已成为世界各国政府关注的一个问题。我们使用考虑三个动态变量的非线性微分方程系统来说明这个问题:失业人数、雇员人数和可用职位空缺数量。我们发现该系统具有一个正平衡点,该平衡点在一定条件下是局部和全局稳定的。我们确定了达到 7% 失业率所需的就业率和创造新职位的比率,这与政府为实现低失业率水平所做的努力一致。关键词:失业;稳定; 罗斯·赫维茨;李雅普诺夫函数;数值模拟

更新日期:2021-07-06
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