An Epidemic Model with Density Dependent Parameters and Vaccination

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

doi:10.1155/S0161171296001123

An Epidemic Model with Density Dependent Parameters and Vaccination

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	805-814
Number of pages	10
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	19
Issue number	4
DOIs	https://doi.org/10.1155/S0161171296001123
Publication status	Published - 1996
Externally published	Yes

Keywords

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

ASJC Scopus subject areas

Mathematics (miscellaneous)

Access to Document

10.1155/S0161171296001123

Cite this

@article{788c79dc9b3a457899084d7946015278,

title = "An Epidemic Model with Density Dependent Parameters and Vaccination",

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{\textquoteright}s results are still valid.",

keywords = "Epidemic model, density-dependent death rate and transmission coefficient, stability, vaccination",

author = "Khan, {Q. J.A.} and Bhatt, {B. S.}",

year = "1996",

doi = "10.1155/S0161171296001123",

language = "English",

volume = "19",

pages = "805--814",

journal = "International Journal of Mathematics and Mathematical Sciences",

issn = "0161-1712",

publisher = "Hindawi Publishing Corporation",

number = "4",

}

TY - JOUR

T1 - An Epidemic Model with Density Dependent Parameters and Vaccination

AU - Khan, Q. J.A.

AU - Bhatt, B. S.

PY - 1996

Y1 - 1996

N2 - 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.

AB - 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.

KW - Epidemic model

KW - density-dependent death rate and transmission coefficient

KW - stability

KW - vaccination

UR - http://www.scopus.com/inward/record.url?scp=84958300213&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84958300213&partnerID=8YFLogxK

U2 - 10.1155/S0161171296001123

DO - 10.1155/S0161171296001123

M3 - Article

AN - SCOPUS:84958300213

SN - 0161-1712

VL - 19

SP - 805

EP - 814

JO - International Journal of Mathematics and Mathematical Sciences

JF - International Journal of Mathematics and Mathematical Sciences

IS - 4

ER -

An Epidemic Model with Density Dependent Parameters and Vaccination

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this