An age-structured epidemic model of rotavirus with vaccination

E. Shim, Z. Feng, M. Martcheva, Carlos Castillo-Chavez

Research output: Contribution to journalArticlepeer-review

57 Scopus citations

Abstract

The recent approval of a rotavirus vaccine in Mexico motivates this study on the potential impact of the use of such a vaccine on rotavirus prevention and control. An age-structured model that describes the rotavirus transmission dynamics of infections is introduced. Conditions that guarantee the local and global stability analysis of the disease-free steady state distribution as well as the existence of an endemic steady state distribution are established. The impact of maternal antibodies on the implementation of vaccine is evaluated. Model results are used to identify optimal age-dependent vaccination strategies. A convergent numerical scheme for the model is introduced but not implemented. This paper is dedicated to Prof. K. P. Hadeler, who continues to push the frontier of knowledge in mathematical biology.

Original languageEnglish (US)
Pages (from-to)719-746
Number of pages28
JournalJournal Of Mathematical Biology
Volume53
Issue number4
DOIs
StatePublished - Oct 1 2006

Keywords

  • Age-structure
  • Rotavirus
  • Vacccination

ASJC Scopus subject areas

  • Modeling and Simulation
  • Agricultural and Biological Sciences (miscellaneous)
  • Applied Mathematics

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