International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 4, Pages 805-814
doi:10.1155/S0161171296001123
An epidemic model with density dependent parameters and vaccination
Q.J.A. Khan
and B.S. Bhatt
Department of Mathematics and Computing, College of Science, Sultan Qaboos University, P O Box 36, Postal Code 123 AI-Khod, Muscat, Oman
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.