STABILITY ANALYSIS OF A FRACTIONAL ORDER CORONAVIRUS EPIDEMIC MODEL

In this paper a six-compartmental coronavirus(COVID-19) epidemic model is developed. We have divided the total population into five classes, namely susceptible, exposed, infected, treatment, recovered and the concentration of the coronavirus in the environment reservoir class. The basic reproduction...

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Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 13; no. 4; p. 1446
Main Authors Khuddush, M, Prasad, K.R
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.01.2023
Elman Hasanoglu
Subjects
Analysis
Applied mathematics
Coronaviruses
COVID-19
Disease transmission
Epidemics
Epidemiology
Equilibrium
Infections
Mathematical models
Matrix methods
Middle East respiratory syndrome
Pandemics
Respiratory diseases
Severe acute respiratory syndrome coronavirus 2
Stability analysis
China
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ISSN2146-1147
2146-1147

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Summary:In this paper a six-compartmental coronavirus(COVID-19) epidemic model is developed. We have divided the total population into five classes, namely susceptible, exposed, infected, treatment, recovered and the concentration of the coronavirus in the environment reservoir class. The basic reproduction number [R.sub.0] is calculated using the next-generation matrix method. The stability analysis of the model shows that the system is locally asymptotically stable at the disease-free equilibrium (DFE) [E.sub.0] when [R.sub.0] < 1. When [R.sub.0] > 1, an endemic equilibrium E* exists and the system becomes locally asymptotically stable at E* under some conditions. Keywords: Coronavirus(COVID-19); Caputo fractional derivative; reproduction number, next-generation matrix. AMS Subject Classification: 92D30, 26A33, 37M05
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ISSN:2146-1147
2146-1147