https://doi.org/10.1140/epjp/s13360-023-04163-2
Regular Article
Role of incentives on the dynamics of infectious diseases: implications from a mathematical model
1
Department of Basic Science and Humanities, Indian Institute of Information Technology, 813210, Bhagalpur, India
2
School of Mathematics, Thapar Institute of Engineering and Technology, 147004, Patiala, India
3
Science and Mathematics Faculty, Arizona State University, 85212, Mesa, AZ, USA
Received:
10
March
2023
Accepted:
2
June
2023
Published online:
25
June
2023
In the present study, we assess the impact of incentives provided by the government on the dynamics of infectious diseases that spread due to the direct contacts of susceptibles with the infectives and also through the environmental contamination of those diseases. To this, we develop a mathematical model which comprises susceptible individuals, infected individuals, environmental contamination and the incentive provided by the government healthcare officials as dynamic variables. The proposed epidemic model is analyzed mathematically as well as numerically. System’s dynamics have been mainly studied about the disease-free and interior equilibrium points. We perform some sensitivity tests to find out model parameters that can have major roles in regulating the epidemic pattern. Our findings show that the disease could be effectively controlled by reducing the contact rate of susceptibles with the infected individuals and also their exposure to the environmental contamination. This could be possible by raising awareness among the public and using disinfectants of high quality for removing contaminants from the environment. These results suggest to increase the incentive amount in the areas facing rapid incline in the number of infected cases and the level of environmental contamination.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
