Stability on coupling SIR epidemic model with vaccination

Stability on coupling SIR epidemic model with vaccination

We develop a mathematical model for the disease which can be transmitted via vector and through blood transfusion in host population. The host population is structured by the chronological age. We assume that the instantaneous death and infection rates depend on the age. Applying semigroup theory a...

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Main Authors: Helong Liu, Houbao Xu, Jingyuan Yu, Guangtian Zhu
Format: Article
Language:English
Published: Hindawi Limited 2005-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/JAM.2005.301
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spelling doaj-1d653dca970145cda0d91fa9e24b14db2020-11-25T00:01:23ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422005-01-012005430131910.1155/JAM.2005.301Stability on coupling SIR epidemic model with vaccinationHelong Liu0Houbao Xu1Jingyuan Yu2Guangtian Zhu3Department of Mathematics, Xinyang Normal University, Henan, Xinyang 464000, ChinaDepartment of Mathematics, Beijing Institute of Technology, Beijing 100081, ChinaBeijing Institute of Information and Control, Beijing 100037, ChinaAcademy of Mathematics and System Science, Chinese Academy of Sciences, Beijing 100080, ChinaWe develop a mathematical model for the disease which can be transmitted via vector and through blood transfusion in host population. The host population is structured by the chronological age. We assume that the instantaneous death and infection rates depend on the age. Applying semigroup theory and so forth, we investigate the existence of equilibria. We also discuss local stability of steady states.http://dx.doi.org/10.1155/JAM.2005.301
collection DOAJ
language English
format Article
sources DOAJ
author Helong Liu
Houbao Xu
Jingyuan Yu
Guangtian Zhu
spellingShingle Helong Liu
Houbao Xu
Jingyuan Yu
Guangtian Zhu
Stability on coupling SIR epidemic model with vaccination
Journal of Applied Mathematics
author_facet Helong Liu
Houbao Xu
Jingyuan Yu
Guangtian Zhu
author_sort Helong Liu
title Stability on coupling SIR epidemic model with vaccination
title_short Stability on coupling SIR epidemic model with vaccination
title_full Stability on coupling SIR epidemic model with vaccination
title_fullStr Stability on coupling SIR epidemic model with vaccination
title_full_unstemmed Stability on coupling SIR epidemic model with vaccination
title_sort stability on coupling sir epidemic model with vaccination
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2005-01-01
description We develop a mathematical model for the disease which can be transmitted via vector and through blood transfusion in host population. The host population is structured by the chronological age. We assume that the instantaneous death and infection rates depend on the age. Applying semigroup theory and so forth, we investigate the existence of equilibria. We also discuss local stability of steady states.
url http://dx.doi.org/10.1155/JAM.2005.301
work_keys_str_mv AT helongliu stabilityoncouplingsirepidemicmodelwithvaccination
AT houbaoxu stabilityoncouplingsirepidemicmodelwithvaccination
AT jingyuanyu stabilityoncouplingsirepidemicmodelwithvaccination
AT guangtianzhu stabilityoncouplingsirepidemicmodelwithvaccination
_version_ 1725442296046944256

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