An Epidemic Model with Density Dependent Parameters and Vaccination

Q. J A Khan, B. S. Bhatt

Research output: Contribution to journalArticle

Abstract

A model originally suggested by Greenhalgh [12] and later modified by that same author [13,14] is considered under the assumption that the transmission coefficient is inversely proportional to the total population size The purpose of this study is to see the effect of this density dependent transmission coefficient on the stability criteria for the equilibrium of the model equations. It is found that Greenhalgh’s results are still valid.

Original languageEnglish
Pages (from-to)805-814
Number of pages10
JournalInternational Journal of Mathematics and Mathematical Sciences
Volume19
Issue number4
DOIs
Publication statusPublished - 1996

Keywords

  • density-dependent death rate and transmission coefficient
  • Epidemic model
  • stability
  • vaccination

ASJC Scopus subject areas

  • Mathematics (miscellaneous)

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