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 journalArticlepeer-review

44 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 languageEnglish (US)
Pages (from-to)177-190
Number of pages14
JournalMathematical Biosciences
Volume150
Issue number2
DOIs
StatePublished - Jun 15 1998
Externally publishedYes

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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