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
Subjects:	Computer Science Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=84886684154&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/52427
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-52427
record_format	dspace
spelling	th-cmuir.6653943832-524272018-09-04T09:31:17Z Delay SIR model with nonlinear incident rate and varying total population Rujira Ouncharoen Salinthip Daengkongkho Thongchai Dumrongpokaphan Yongwimon Lenbury Computer Science Mathematics 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. 2018-09-04T09:25:13Z 2018-09-04T09:25:13Z 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/6653943832/52427
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Computer Science Mathematics
spellingShingle	Computer Science Mathematics Rujira Ouncharoen Salinthip Daengkongkho Thongchai Dumrongpokaphan Yongwimon Lenbury Delay SIR model with nonlinear incident rate and varying total population
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
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/6653943832/52427
_version_	1681423949088423936

Delay SIR model with nonlinear incident rate and varying total population

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