Theoretical and Natural Science
- The Open Access Proceedings Series for Conferences
Theoretical and Natural Science
Vol. 2, 20 February 2023
Open
Access | Article
A SIR Model for the Induction Analysis of a Company
* Author to whom correspondence should be addressed.
Abstract
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.
Keywords
transmissions, company, SIR model, basic production number
References
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)
Data Availability
The datasets used and/or analyzed during the current study will be available from the authors upon reasonable request.
This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License. Authors who publish this series agree to the following terms:
1. Authors retain copyright and grant the series right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this series.
2. Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the series's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this series.
3. Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See Open Access Instruction).
- Volume Title
- Proceedings of the International Conference on Computing Innovation and Applied Physics (CONF-CIAP 2022)
- ISBN (Print)
- 978-1-915371-13-3
- ISBN (Online)
- 978-1-915371-14-0
- Published Date
- 20 February 2023
- Series
- Theoretical and Natural Science
- ISSN (Print)
- 2753-8818
- ISSN (Online)
- 2753-8826
- DOI
- 10.54254/2753-8818/2/20220159
- Copyright
- © 2023 The Author(s)
- Open Access
- This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited