Abstract
COVID-19 is a major pandemic threat of 2019–2020 which originated in Wuhan. As of now, no specific anti-viral medication is available. Therefore, many countries in the world are fighting to control the spread by various means. In this chapter, we model COVID-19 scenario by considering compartmental model. The set of dynamical system of nonlinear differential equation is formulated. Basic reproduction number \(R_{0}\) is computed for this dynamical system. Endemic equilibrium point is calculated and local stability for this point is established using Routh-Hurwitz criterion. As COVID-19 has affected more than 180 countries in several ways like medically, economy, etc. It necessitates the effect of control strategies applied by various government worldwide to be analysed. For this, we introduce different types of time dependent controls (which are government rules or social, medical interventions) in-order to control the exposure of COVID-19 and to increase recovery rate of the disease. By using Pontryagins maximum principle, we derive necessary optimal conditions which depicts the importance of these controls applied by the government during this epidemic.
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Acknowledgements
The authors thank reviewers for their constructive comments. The authors thank DST-FIST file # MSI-097 for technical support to the department. Second author (NS) would like to extend sincere thanks to the Education Department, Gujarat State for providing scholarship under ScHeme Of Developing High quality research (SHODH). Third author (ENJ) is funded by UGC granted National Fellowship for Other Backward Classes (NFO-2018-19-OBC-GUJ-71790).
Data Availability
The data used to support the findings of this study are included within the article.
Conflict of Interest
The authors do not have conflict of interest.
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Shah, N.H., Sheoran, N., Jayswal, E.N. (2021). Effective Lockdown and Plasma Therapy for COVID-19. In: Shah, N.H., Mittal, M. (eds) Mathematical Analysis for Transmission of COVID-19. Mathematical Engineering. Springer, Singapore. https://doi.org/10.1007/978-981-33-6264-2_7
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DOI: https://doi.org/10.1007/978-981-33-6264-2_7
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