A Simple Mathematical Model for Covid-19: Case Study of Goa

Authors

DOI:

https://doi.org/10.26713/cma.v14i3.2382

Keywords:

COVID-19, First wave, Second wave, SEIR-Compartmental epidemic model

Abstract

This paper analyses a simple SEIR model (Susceptible-Exposed-Infected-Removed) to study the impact of the Covid-19 pandemic on Goa. A system of non-linear ODE has been used. The system is analysed using stability analysis. Novel Corona Virus (Covid-19) was declared a pandemic on 11th March 2020. Thereon India has witnessed three Covid-19 waves from March 2020 to March 2022. To control the subsequent impact on our livelihoods, it is of utmost need to study the spread of the virus. The findings of the model will then be compared to the recorded data of the 1st and 2nd waves of the neighbouring states of Maharashtra and Karnataka. Further, it will be shown how the probability of effective exposure and the per-capita contact rate influences the healthy and infected population. The proposed model can be used to make predictions for subsequent waves if any, in Goa.

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References

A. Abou-Ismail, Compartmental models of the COVID-19 pandemic for physicians and physician-scientists, SN Comprehensive Clinical Medicine 2 (2020), 852 – 858, DOI: 10.1007/s42399-020-00330-z.

M. A. Andrews, B. Areekal, K. R. Rajesh, J. Krishnan, R. Suryakala, B. Krishnan, C. P. Muraly and P. V. Santhosh, First confirmed case of COVID-19 infection in India: A case report, Indian Journal of Medical Research 151(5) (2020), 490 – 492, DOI: 10.4103/ijmr.IJMR_2131_20.

P. Harjule, R. C. Poonia, B. Agrawal, A. K. J. Saudagar, A. Altameem, M. Alkhathami, M. B. Khan, M. H. A. Hasanat and K. M. Malik, An effective strategy and mathematical model to predict the sustainable evolution of the impact of the pandemic lockdown, Healthcare 10 (2022), 759, DOI: 10.3390/healthcare10050759.

A. Sarkar, A. K. Chakrabarti and S. Dutta, Covid-19 infection in India: A comparative analysis of the second wave with the first wave, Pathogens 10(9) (2021), 1222, DOI: 10.3390/pathogens10091222.

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Published

18-10-2023
CITATION

How to Cite

Mazumdar, N., D’Costa, R. S., Kauthankar, S. S., & Rebello, S. V. (2023). A Simple Mathematical Model for Covid-19: Case Study of Goa. Communications in Mathematics and Applications, 14(3), 1180–1188. https://doi.org/10.26713/cma.v14i3.2382

Issue

Vol. 14 No. 3 (2023)

Section

Research Article

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