Study of the unemployment problem by mathematical modeling: Predictions and controls

IF 1.3 4区社会学 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Mathematical Sociology Pub Date : 2021-07-06 DOI:10.1080/0022250X.2021.1931173

H. Ashi, Raneah Al-Maalwi, Sarah Al-Sheikh

引用次数: 2

Abstract

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

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用数学模型研究失业问题：预测和控制

摘要失业是世界各国政府关注的一个问题。我们使用一个考虑三个动态变量的非线性微分方程组来说明这个问题：失业人数、雇员人数和可用职位数量。我们发现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%的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所做的努力一致。关键词：失业；稳定性Routh Hurwitz；李雅普诺夫函数；数值模拟

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来源期刊

Journal of Mathematical Sociology 数学-数学跨学科应用

CiteScore

2.90

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： The goal of the Journal of Mathematical Sociology is to publish models and mathematical techniques that would likely be useful to professional sociologists. The Journal also welcomes papers of mutual interest to social scientists and other social and behavioral scientists, as well as papers by non-social scientists that may encourage fruitful connections between sociology and other disciplines. Reviews of new or developing areas of mathematics and mathematical modeling that may have significant applications in sociology will also be considered. The Journal of Mathematical Sociology is published in association with the International Network for Social Network Analysis, the Japanese Association for Mathematical Sociology, the Mathematical Sociology Section of the American Sociological Association, and the Methodology Section of the American Sociological Association.