Stability on coupling SIR epidemic model with vaccination

Helong Liu; Houbao Xu; Jingyuan Yu; Guangtian Zhu

doi:10.1155/JAM.2005.301

Stability on coupling SIR epidemic model with vaccination

Helong Liu, Houbao Xu, Jingyuan Yu, Guangtian Zhu

School of Mathematics and Statistics

Beijing Institute of Information and Control

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	301-319
Number of pages	19
Journal	Journal of Applied Mathematics
Volume	2005
Issue number	4
DOIs	https://doi.org/10.1155/JAM.2005.301
Publication status	Published - 2005

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10.1155/JAM.2005.301

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title = "Stability on coupling SIR epidemic model with vaccination",

abstract = "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.",

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AU - Liu, Helong

AU - Xu, Houbao

AU - Yu, Jingyuan

AU - Zhu, Guangtian

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AB - 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.

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U2 - 10.1155/JAM.2005.301

DO - 10.1155/JAM.2005.301

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VL - 2005

SP - 301

EP - 319

JO - Journal of Applied Mathematics

JF - Journal of Applied Mathematics

IS - 4

ER -

Stability on coupling SIR epidemic model with vaccination

Abstract

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