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 2006

Fingerprint

Rotavirus Vaccines
Age-structured Model
Vaccines
Vaccination
Rotavirus
Vaccine
Epidemic Model
Steady-state Distribution
vaccination
vaccines
Infectious Disease Transmission
Mexico
Mathematical Biology
maternal immunity
Global Analysis
Mothers
Local Stability
Global Stability
Antibody
Antibodies

Keywords

  • Age-structure
  • Rotavirus
  • Vacccination

ASJC Scopus subject areas

  • Agricultural and Biological Sciences (miscellaneous)
  • Mathematics (miscellaneous)

Cite this

An age-structured epidemic model of rotavirus with vaccination. / Shim, E.; Feng, Z.; Martcheva, M.; Castillo-Chavez, Carlos.

In: Journal of Mathematical Biology, Vol. 53, No. 4, 10.2006, p. 719-746.

Research output: Contribution to journalArticle

Shim, E. ; Feng, Z. ; Martcheva, M. ; Castillo-Chavez, Carlos. / An age-structured epidemic model of rotavirus with vaccination. In: Journal of Mathematical Biology. 2006 ; Vol. 53, No. 4. pp. 719-746.
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