Mathematical modeling and analysis of Covid-19 infection spreads in India with restricted optimal treatment on disease incidence

Authors

  • Debkumar Pal Chandrahati Dilipkumar High School
  • D Ghosh National Institute of Technology Puducherry, Karaikal-609609, India.
  • P K Santra Maulana Abul Kalam Azad University of Technology, Kolkata-700064, India.
  • G S Mahapatra National Institute of Technology Puducherry, Karaikal-609609, India.

DOI:

https://doi.org/10.11145/j.biomath.2021.06.147

Keywords:

Novel coronavirus, SEHGIR model, Basic Reproduction number, Stability, Optimal control.

Abstract

This paper presents the current situation and how to minimize its effect in India through a mathematical model of infectious Coronavirus disease (COVID-19). This model consists of six compartments to population classes consisting of susceptible, exposed, home quarantined, government quarantined, infected individuals in treatment, and recovered class. The basic reproduction number is calculated, and the stabilities of the proposed model at the disease-free equilibrium and endemic equilibrium are observed. The next crucial treatment control of the Covid-19 epidemic model is presented in India's situation. An objective function is considered by incorporating the optimal infected individuals and the cost of necessary treatment. Finally, optimal control is achieved that minimizes our anticipated objective function. Numerical observations are presented utilizing MATLAB software to demonstrate the consistency of present-day representation from a realistic standpoint.

Author Biographies

Debkumar Pal, Chandrahati Dilipkumar High School

Mathematices

D Ghosh, National Institute of Technology Puducherry, Karaikal-609609, India.

Mathematics

P K Santra, Maulana Abul Kalam Azad University of Technology, Kolkata-700064, India.

Mathematics

G S Mahapatra, National Institute of Technology Puducherry, Karaikal-609609, India.

Mathematics

Downloads

Published

2021-07-17

Issue

Vol. 10 No. 1 (2021)

Section

Original Articles

License

The journal Biomath is an open access journal. All published articles are immeditely available online and the respective DOI link activated. All articles can be access for free and no reader registration of any sort is required. No fees are charged to authors for article submission or processing. Online publications are funded through volunteer work, donations and grants.

Authors who publish with this journal agree to the following terms:

  • Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License 4.0 that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
  • Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
  • Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).