An Epidemic Model with Density Dependent Parameters and Vaccination

Q. J.A. Khan, B. S. Bhatt

Research output: Contribution to journalArticlepeer-review


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
Issue number4
Publication statusPublished - 1996


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

ASJC Scopus subject areas

  • Mathematics (miscellaneous)


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