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Consequences of Parameters Mathematical Modelling of Two Interacting Viruses: Influenza and SARS- COV-2

Consequences of Parameters Mathematical Modelling of Two Interacting Viruses: Influenza and SARS- COV-2
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Author(s): Dipak Maji (Adamas University, India)and Aditya Ghosh (Amity University, Kolkata)
Copyright: 2024
Pages: 20
Source title: Exploring Medical Statistics: Biostatistics, Clinical Trials, and Epidemiology
Source Author(s)/Editor(s): Geeta Arora (Lovely Professional University, India), Sarabjit Singh (Punjab Institute of Medical Sciences, India)and Homan Emadifar (Islamic Azad University, Iran)
DOI: 10.4018/979-8-3693-2655-8.ch009

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Abstract

Covid-19 and Influenza both are infectious disease. Covid-19 caused by the virus SARS-COV-2 and Influenza caused by influenza viruses. One interactive model is considered here of influenza and SARS-COV-2 .The model consist of six compartments;the susceptible population by both of the viruses, infected population by both viruses, population which is recovered from one virus but susectable to other virus. The importance of parameters are measured here. The stability analysis was performed for disease free case and co-existing case depending on different value of the parameters. Positivity and Boundedness of the model are also considered.The basic Reproduction number was computed by Next Generation Matrix method. The impact of all parameters towards the Basic Reproduction Number is also taken care of through the Normalised Forward Sensitivity Analysis. The numerical justification is also performed corresponding to these results.

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