Existence and uniqueness of endemic states for the age-structured S-I-R epidemic model

Youngjoon Cha; Mimmo Iannelli; Fabio A. Milner

doi:10.1016/S0025-5564(98)10006-8

Existence and uniqueness of endemic states for the age-structured S-I-R epidemic model

Youngjoon Cha, Mimmo Iannelli, Fabio A. Milner

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

42 Scopus citations

Abstract

The existence and uniqueness of positive steady states for the age structured S-I-R epidemic model with intercohort transmission is considered. Threshold results for the existence of endemic states are established for most cases. Uniqueness is shown in each case. Threshold used are explicitly computable in terms of demographic and epidemiological parameters of the model.

Original language	English (US)
Pages (from-to)	177-190
Number of pages	14
Journal	Mathematical Biosciences
Volume	150
Issue number	2
DOIs	https://doi.org/10.1016/S0025-5564(98)10006-8
State	Published - Jun 15 1998
Externally published	Yes

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
General Biochemistry, Genetics and Molecular Biology
General Immunology and Microbiology
General Agricultural and Biological Sciences
Applied Mathematics

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10.1016/S0025-5564(98)10006-8

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title = "Existence and uniqueness of endemic states for the age-structured S-I-R epidemic model",

abstract = "The existence and uniqueness of positive steady states for the age structured S-I-R epidemic model with intercohort transmission is considered. Threshold results for the existence of endemic states are established for most cases. Uniqueness is shown in each case. Threshold used are explicitly computable in terms of demographic and epidemiological parameters of the model.",

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AU - Iannelli, Mimmo

AU - Milner, Fabio A.

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Y1 - 1998/6/15

N2 - The existence and uniqueness of positive steady states for the age structured S-I-R epidemic model with intercohort transmission is considered. Threshold results for the existence of endemic states are established for most cases. Uniqueness is shown in each case. Threshold used are explicitly computable in terms of demographic and epidemiological parameters of the model.

AB - The existence and uniqueness of positive steady states for the age structured S-I-R epidemic model with intercohort transmission is considered. Threshold results for the existence of endemic states are established for most cases. Uniqueness is shown in each case. Threshold used are explicitly computable in terms of demographic and epidemiological parameters of the model.

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JO - Mathematical Biosciences

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Existence and uniqueness of endemic states for the age-structured S-I-R epidemic model

Abstract

ASJC Scopus subject areas

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