A Dynamic Optimal Control Model for SARS-CoV-2 in India

11 Pages Posted: 18 May 2020

See all articles by Debnarayan Khatua

Debnarayan Khatua

Global Institute of Science and Technology

Anupam De

Haldia Institute of Technology; National Institute of Technology Durgapur

Samarjit Kar

National Institute of Technology (NIT), Durgapur

Soumyadeep Samonto

Global Institute of Science and Technology, Haldia; MAKAUT, WB

Santi M. Mandal

Indian Institute of Technology Kharagpur

Date Written: May 10, 2020

Abstract

The pandemic coronavirus has explored all over the world with a devastated negative impact on humanity indeed. The epidemic virus has dynamic genetic diversity that has never been encountered earlier. The mortality rate of the disease is increasing rapidly as the approved drug is not available yet. Only isolation from the infected individual or community is the only choice to save our existence. As the human is the only carrier so in that case if the host carriers are isolated from each other then it might be possible to control the spread or positive rates of infected population. In this research work, we have presented an optimal control model for COVID-19 by following two different steps. In the first step, we have formulated an SEIAR model for COVID-19, analysed and reported the disease dynamics for time independent disease control parameter. In the second step of the model we have upgraded the concerned model up to an optimal control problem invader with time dependent control parameter. The theoretical findings are validated graphically with some realistic data for pandemic COVID-19 with respect to India's perspective.

Note:

Funding: No Funding

Declaration of Interest: The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

Keywords: Epidemic, Asymptomatic, Susceptible, Isolation, Quarantine, Social Distancing, Infectious Dieseas Control, Dynamic Model

Suggested Citation

Khatua, Debnarayan and De, Anupam and Kar, Samarjit and Samanta, Eshan and Mandal, Santi M., A Dynamic Optimal Control Model for SARS-CoV-2 in India (May 10, 2020). Available at SSRN: https://ssrn.com/abstract=3597498 or http://dx.doi.org/10.2139/ssrn.3597498

Debnarayan Khatua

Global Institute of Science and Technology ( email )

ICARE Complex
Hatiberia
Haldia
India

Anupam De

Haldia Institute of Technology ( email )

Dept. of Applied Sciences
P.O.-Hatiberia, Haldia
Haldia, West Bengal 721657
India

National Institute of Technology Durgapur

Dept. of Mathematics
Mahatma Gandhi Avenue
Durgapur, West Bengal 713209
India

Samarjit Kar

National Institute of Technology (NIT), Durgapur ( email )

M.G. Avenue
West Bengal
Durgapur, West Bengal 713209
India

Eshan Samanta (Contact Author)

Global Institute of Science and Technology, Haldia ( email )

ICARE Complex
Hatiberia
Haldia
India

MAKAUT, WB ( email )

India

Santi M. Mandal

Indian Institute of Technology Kharagpur ( email )

Kharagpur
West Medinipur, WA West Bengal 721302
India

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