An epidemic model with density dependent parameters and vaccination
type: Item
instance of: scholarly article
title: An epidemic model with density dependent parameters and vaccination
zbMATH Open document ID: 0854.92019
DOI: 10.1155/S0161171296001123
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 1996-09-30T00:00:00Z
full work available at URL: https://eudml.org/doc/47570
review text: Summary: A model originally suggested by \textit{D. Greenhalgh} [IMA J. Math. Appl. Med. Biol. 7, No. 1, 1-26 (1990; Zbl 0751.92014)] and later modified by that same author [ibid. 9, No. 2, 67-106 (1992; Zbl 0805.92025); Bull. Math. Biol. 54, No. 5, 733-758 (1992; Zbl 0766.92020)] 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.
Mathematics Subject Classification ID: 92D30
Mathematics Subject Classification ID: 34D99
zbMATH DE Number: 930061
zbMATH Keywords: density-dependent death rate
zbMATH Keywords: density dependent transmission coefficient
zbMATH Keywords: stability criteria
zbMATH Keywords: equilibrium
author: Qamar Jalil Ahmed Khan
author: Balswaroop Bhatt
MaRDI profile type: Publication
OpenAlex ID: W2096523073
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description: scientific article; zbMATH DE number 930061