Analysis of Epidemic Model Using Basic Reproduction Number

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2018 English Publisher:Elsevier BVJournal:SSRN Electronic Journal (eissn: 1556-5068,

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Authors: Vinod Kumar; Deepak Kumar;

doi: 10.2139/ssrn.3166500

Analysis of Epidemic Model Using Basic Reproduction Number

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Abstract

A Modified susceptible-infected-recovered (SIR) model is defined for epidemic disease and studies about the basic reproduction number. The basic reproduction number (𝑅𝑃0) is defined as the epidemic will spread or not in the population. If the value 𝑅𝑃0 < 1, then the epidemic will spread in the population otherwise not. Also the stability of the model has been analyzed with the help of Jacobian matrix. Also, this matrix provides the future suggestions for better medication to save human life from epidemic diseases.

Related Organizations

International Institute of Minnesota
United States
Manav Rachna International Institute of Research and Studies
India

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