Academic Journal
Mathematical modeling and analysis of Covid-19 infection spreads in India with restricted optimal treatment on disease incidence
| Title: | Mathematical modeling and analysis of Covid-19 infection spreads in India with restricted optimal treatment on disease incidence |
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| Authors: | Debkumar Pal, D Ghosh, P K Santra, G S Mahapatra |
| Source: | Biomath, Vol 10, Iss 1 (2021) |
| Publisher Information: | Bulgarian Academy of Sciences, Institute of Mathematics and Informatics, 2021. |
| Publication Year: | 2021 |
| Collection: | LCC:Biology (General) LCC:Mathematics |
| Subject Terms: | novel coronavirus, sehgir model, basic reproduction number, stability, optimal control., Biology (General), QH301-705.5, Mathematics, QA1-939 |
| Description: | 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. |
| Document Type: | article |
| File Description: | electronic resource |
| Language: | English |
| ISSN: | 1314-684X 1314-7218 |
| Relation: | http://www.biomathforum.org/biomath/index.php/biomath/article/view/1378; https://doaj.org/toc/1314-684X; https://doaj.org/toc/1314-7218 |
| DOI: | 10.11145/j.biomath.2021.06.147 |
| Access URL: | https://doaj.org/article/0aa0feb7cc28482c811ad8c1a527e0b6 |
| Accession Number: | edsdoj.0aa0feb7cc28482c811ad8c1a527e0b6 |
| Database: | Directory of Open Access Journals |
| ISSN: | 1314684X 13147218 |
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| DOI: | 10.11145/j.biomath.2021.06.147 |