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

Debnarayan Khatua,1 

Anupam De,2 

Samarjit Kar,

Eshan Samanta1Email

Santi M. Mandal4

1Global Institute of Science and Technology, Haldia, 721657, India

2Haldia Institute of Technology, Haldia, 721657, India

3National Institute of Technology, Durgapur, 713209, India

4Central Research Facility, Indian Institute of Technology Kharagpur, Kharagpur, 721302, India

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.