Delay SIR model with nonlinear incident rate and varying total population

Delay SIR model with nonlinear incident rate and varying total population

Recently, models describing the behavior of SIR epidemic with nonlinear incident rate have been revisited. We study the behavior of the model with time delay in which the total population size varies. Lyapunov functions are constructed to establish the global asymptotic stability of all steady state...

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Main Authors: Rujira Ouncharoen, Salinthip Daengkongkho, Thongchai Dumrongpokaphan, Yongwimon Lenbury
Format: Journal
Published: 2018
Online Access:https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84886684154&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/47514
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Institution: Chiang Mai University
id th-cmuir.6653943832-47514
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spelling th-cmuir.6653943832-475142018-04-25T08:40:55Z Delay SIR model with nonlinear incident rate and varying total population Rujira Ouncharoen Salinthip Daengkongkho Thongchai Dumrongpokaphan Yongwimon Lenbury Recently, models describing the behavior of SIR epidemic with nonlinear incident rate have been revisited. We study the behavior of the model with time delay in which the total population size varies. Lyapunov functions are constructed to establish the global asymptotic stability of all steady states of the model. Numerical simulations are shown to confirm the main results. 2018-04-25T08:40:55Z 2018-04-25T08:40:55Z 2013-11-04 Journal 19980159 2-s2.0-84886684154 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84886684154&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/47514
institution Chiang Mai University
building Chiang Mai University Library
country Thailand
collection CMU Intellectual Repository
description Recently, models describing the behavior of SIR epidemic with nonlinear incident rate have been revisited. We study the behavior of the model with time delay in which the total population size varies. Lyapunov functions are constructed to establish the global asymptotic stability of all steady states of the model. Numerical simulations are shown to confirm the main results.
format Journal
author Rujira Ouncharoen
Salinthip Daengkongkho
Thongchai Dumrongpokaphan
Yongwimon Lenbury
spellingShingle Rujira Ouncharoen
Salinthip Daengkongkho
Thongchai Dumrongpokaphan
Yongwimon Lenbury
Delay SIR model with nonlinear incident rate and varying total population
author_facet Rujira Ouncharoen
Salinthip Daengkongkho
Thongchai Dumrongpokaphan
Yongwimon Lenbury
author_sort Rujira Ouncharoen
title Delay SIR model with nonlinear incident rate and varying total population
title_short Delay SIR model with nonlinear incident rate and varying total population
title_full Delay SIR model with nonlinear incident rate and varying total population
title_fullStr Delay SIR model with nonlinear incident rate and varying total population
title_full_unstemmed Delay SIR model with nonlinear incident rate and varying total population
title_sort delay sir model with nonlinear incident rate and varying total population
publishDate 2018
url https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84886684154&origin=inward
http://cmuir.cmu.ac.th/jspui/handle/6653943832/47514
_version_ 1681423075226157056

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