Series Vol. 2 , 20 February 2023
* Author to whom correspondence should be addressed.
We notice the situation that when applicants are qualified and have the willingness to seek a job, the appraises of employees already in the company will have a large impact on applicants’ decisions of whether to become a member of this company or not. We believe that positive appraises will encourage the applicants to enter while negative appraises will discourage applicants. On the basis of this fact, in this paper we propose a compartmental model including the applicants population, the employed population and the resignation population. Several differential equations are set up and disease-free equilibrium is calculated. After the calculation of R_0, we complete sensitivity analysis which leads to the conclusion. The conclusion suggests that either decreasing the progression rate from applicants to employees who have negative appraises or increasing the progression rate from employees with negative appraises to employees with positive appraises can decrease the population of negative states.
transmissions, company, SIR model, basic production number
1. “Unemployment, Total (% of Total Labor Force) (Modeled ILO Estimate) - European Union | Data.” Unemployment, Total (% of Total Labor Force) (Modeled ILO Estimate) - European Union, data.worldbank.org/indicator/SL.UEM.TOTL.ZS?end=2020&locations=EU&start=1991. Accessed 11 July 2022
2. “Unemployment by Country 2022.” Unemployment by Country 2022, worldpopulationreview.com/country-rankings/unemployment-by-country. Accessed 11 July 2022
3. “Economic News Releases : U.S. Bureau of Labor Statistics.” THE EMPLOYMENT SITUATION — JUNE 2022, 15 Feb. 2017, www.bls.gov/bls/newsrels.htm
4. Zhonghui, Wang. "Private enterprise in China: an overview." Journal of communist studies 6.3 (1990): 83-98
5. J Clerk Maxwell, A Treatise on Electricity and Magnetism, 3rd ed., vol. 2. Oxford: Clarendon, 1892, pp.68–73
6. Wei, ShanYuan, RenDe Yang, and Hua Xiang. "Talent loss and new countryside construction: thinking about rural talents loss in China." Guizhou Agricultural Sciences 9 (2009): 250-252
7. Misra, A. K., and Arvind K. Singh. "A mathematical model for unemployment." Nonlinear Analysis: Real World Applications 12.1 (2011): 128-136
8. Pathan, Gulbanu, and P. H. Bhathawala. "Mathematical model of Unemployment-an analysis with delay." Global Journal of Mathematical Sciences: Theory and Title in Practical 9 (2017): 225-237
9. Galanis, Giorgos, and Adam Hanieh. "Incorporating social determinants of health into modelling of COVID-19 and other infectious diseases: a baseline socio-economic compartmental model." Social Science & Medicine 274 (2021): 113794
10. Ross, Ronald. "An application of the theory of probabilities to the study of a priori pathometry.—Part I." Proceedings of the Royal Society of London. Series A, Containing papers of a mathematical and physical character 92.638 (1916): 204-230
11. Kastalskiy, Innokentiy A., et al. "Social stress drives the multi-wave dynamics of COVID-19 outbreaks." Scientific Reports 11.1 (2021): 1-12
12. Wright, Beatrice A. "Attitudes and the fundamental negative bias: Conditions and corrections." (1988)
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.