Low temperatures or high isolation delay increases the average COVID-19 infections in India : A Mathematical modeling approach

The dynamics of COVID-19 in India are captured using a set of delay differential equations by dividing a population into five compartments. The Positivity and Boundedness of the system is shown. The Existence and Uniqueness condition for the solution of system of equations is presented. The equilibr...

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Autores principales: Prakash D Bhanu, Chhetri Bishal, Vamsi D K K, Balasubramanian S, Sanjeevi Carani B
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Lenguaje:EN
Publicado: De Gruyter 2021
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Acceso en línea:https://doaj.org/article/50123581f8604b7180ce2b5a905381ba
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spelling oai:doaj.org-article:50123581f8604b7180ce2b5a905381ba2021-12-05T14:10:45ZLow temperatures or high isolation delay increases the average COVID-19 infections in India : A Mathematical modeling approach2544-729710.1515/cmb-2020-0122https://doaj.org/article/50123581f8604b7180ce2b5a905381ba2021-09-01T00:00:00Zhttps://doi.org/10.1515/cmb-2020-0122https://doaj.org/toc/2544-7297The dynamics of COVID-19 in India are captured using a set of delay differential equations by dividing a population into five compartments. The Positivity and Boundedness of the system is shown. The Existence and Uniqueness condition for the solution of system of equations is presented. The equilibrium points are calculated and stability analysis is performed. Sensitivity analysis is performed on the parameters of the model. Bifurcation analysis is performed and the critical delay is calculated. By formulating the spread parameter as a function of temperature, the impact of temperature on the population is studied. We concluded that with the decrease in temperature, the average infections in the population increases. In view of the coming winter season in India, there will be an increase in new infections. This model falls in line with the characteristics that increase in isolation delay increases average infections in the population.Prakash D BhanuChhetri BishalVamsi D K KBalasubramanian SSanjeevi Carani BDe Gruyterarticlecovid-19isolation delaycritical delaytemperatureaverage infections37n2592b0592c99BiotechnologyTP248.13-248.65PhysicsQC1-999ENComputational and Mathematical Biophysics, Vol 9, Iss 1, Pp 146-174 (2021)
institution DOAJ
collection DOAJ
language EN
topic covid-19
isolation delay
critical delay
temperature
average infections
37n25
92b05
92c99
Biotechnology
TP248.13-248.65
Physics
QC1-999
spellingShingle covid-19
isolation delay
critical delay
temperature
average infections
37n25
92b05
92c99
Biotechnology
TP248.13-248.65
Physics
QC1-999
Prakash D Bhanu
Chhetri Bishal
Vamsi D K K
Balasubramanian S
Sanjeevi Carani B
Low temperatures or high isolation delay increases the average COVID-19 infections in India : A Mathematical modeling approach
description The dynamics of COVID-19 in India are captured using a set of delay differential equations by dividing a population into five compartments. The Positivity and Boundedness of the system is shown. The Existence and Uniqueness condition for the solution of system of equations is presented. The equilibrium points are calculated and stability analysis is performed. Sensitivity analysis is performed on the parameters of the model. Bifurcation analysis is performed and the critical delay is calculated. By formulating the spread parameter as a function of temperature, the impact of temperature on the population is studied. We concluded that with the decrease in temperature, the average infections in the population increases. In view of the coming winter season in India, there will be an increase in new infections. This model falls in line with the characteristics that increase in isolation delay increases average infections in the population.
format article
author Prakash D Bhanu
Chhetri Bishal
Vamsi D K K
Balasubramanian S
Sanjeevi Carani B
author_facet Prakash D Bhanu
Chhetri Bishal
Vamsi D K K
Balasubramanian S
Sanjeevi Carani B
author_sort Prakash D Bhanu
title Low temperatures or high isolation delay increases the average COVID-19 infections in India : A Mathematical modeling approach
title_short Low temperatures or high isolation delay increases the average COVID-19 infections in India : A Mathematical modeling approach
title_full Low temperatures or high isolation delay increases the average COVID-19 infections in India : A Mathematical modeling approach
title_fullStr Low temperatures or high isolation delay increases the average COVID-19 infections in India : A Mathematical modeling approach
title_full_unstemmed Low temperatures or high isolation delay increases the average COVID-19 infections in India : A Mathematical modeling approach
title_sort low temperatures or high isolation delay increases the average covid-19 infections in india : a mathematical modeling approach
publisher De Gruyter
publishDate 2021
url https://doaj.org/article/50123581f8604b7180ce2b5a905381ba
work_keys_str_mv AT prakashdbhanu lowtemperaturesorhighisolationdelayincreasestheaveragecovid19infectionsinindiaamathematicalmodelingapproach
AT chhetribishal lowtemperaturesorhighisolationdelayincreasestheaveragecovid19infectionsinindiaamathematicalmodelingapproach
AT vamsidkk lowtemperaturesorhighisolationdelayincreasestheaveragecovid19infectionsinindiaamathematicalmodelingapproach
AT balasubramanians lowtemperaturesorhighisolationdelayincreasestheaveragecovid19infectionsinindiaamathematicalmodelingapproach
AT sanjeevicaranib lowtemperaturesorhighisolationdelayincreasestheaveragecovid19infectionsinindiaamathematicalmodelingapproach
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