MATHEMATICAL AND COMPUTATIONAL INVESTIGATION OF THREE STRAIN DYNAMIC TRANSMISSION NETWORK MODEL OF THE ZOONOTIC COVID-19 EPIDEMIC

J.  Bakshi; S. M.  Shaheduzzaman; M. H. A.  Biswas

doi:10.53808/KUS.2022.ICSTEM4IR.0134-se

Authors

J. Bakshi Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
S. M. Shaheduzzaman Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
M. H. A. Biswas Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh

DOI:

https://doi.org/10.53808/KUS.2022.ICSTEM4IR.0134-se

Keywords:

COVID-19, Reservoirs, Basic Reproduction Number, Transmission Network, Numerical Simulation

Abstract

The COVID-19 epidemic, commonly known as the coronavirus flu epidemic, is a worldwide COVID-19 epidemic caused by the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). The new virus was discovered in December 2019 during an epidemic in Wuhan, China. In our suggested model, we have focused on the relationship between the reservoir, the mediator, and the individual during the transmission of the coronavirus. To better understand, how an infection spreads from a natural reservoir to a mediator and finally to a person, we have built a model that includes twelve ordinary differential equations with effective parameters. In this study, we have provided boundedness, non-negative solution, disease-free and endemic equilibrium point, stability analysis for the equilibrium points, sensitivity analysis, basic reproduction number, and numerical simulation. The epidemic indicator fundamental reproduction number is derived from the largest eigenvalue of the next-generation matrix. To establish the numerical output of the model, it was assessed if the new incidence of symptomatic and asymptomatic infections, deaths, and isolations under quarantined situations was larger than the existing incidence. A major goal of this study is to curtail COVID-19 from spreading through natural reservoirs to human via intermediate hosts.

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