{"title":"Study of the unemployment problem by mathematical modeling: Predictions and controls","authors":"H. Ashi, Raneah Al-Maalwi, Sarah Al-Sheikh","doi":"10.1080/0022250X.2021.1931173","DOIUrl":null,"url":null,"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","PeriodicalId":50139,"journal":{"name":"Journal of Mathematical Sociology","volume":"46 1","pages":"301 - 313"},"PeriodicalIF":1.3000,"publicationDate":"2021-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/0022250X.2021.1931173","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Sociology","FirstCategoryId":"90","ListUrlMain":"https://doi.org/10.1080/0022250X.2021.1931173","RegionNum":4,"RegionCategory":"社会学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}
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
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.
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