Research ArticleNo Access

A mathematical model for the novel coronavirus with effect of lockdown

Faculty of Mathematical and Statistical Sciences, Institute of Natural Sciences and Humanities, Shri Ramswaroop Memorial University, Barabanki Uttar Pradesh 225003, India

E-mail Address: vinay86verma@gmail.com

Corresponding author.

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Manju Agarwal

Department of Mathematics and Astronomy, University of Lucknow, Lucknow Uttar Pradesh 226007, India

E-mail Address: manjuak@yahoo.com

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, and

Ashish Verma

Department of Mathematics, Prof. Rajendra Singh (Rajju Bhaiya), Institute of Physical Sciences for Study and Research, V.B.S. Purvanchal University, Jaunpur Uttar Pradesh 222003, India

E-mail Address: vashish.lu@gmail.com

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https://doi.org/10.1142/S1793962323500058Cited by:3 (Source: Crossref)

Abstract

This paper delineates the mathematical modeling and dynamics of a novel coronavirus (COVID-19) an outbreak, and it is a control measurement; the effect of lockdown in terms of lakhs of cases and deaths. The lockdown effect is studied with a different lockdown success rate and also describes the multiple transmission route in the infection dynamics, and pushes the role of the environmental reservoir in the transmission and the spread of this disease. In this situation, mathematical models are an important tool to assign an impressive strategy in order to fight against this pandemic. We exhibit the boundedness of the system, the local stability analysis and global stability analysis of the equilibrium to examine its epidemiological relevance. We have also carried out numerical simulations to validate the analytical results.

Keywords:

AMSC: 34D08, 34D20, 34D23

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