The stability of a mathematical model in the presence of a preventive vaccine

Various kinds of deterministic models for the spread of infectious disease in populations have been analyzed mathematically and applied to specific diseases. In this paper a deterministic model for the dynamics of an infectious disease in the presence of a preventive vaccine is formulated. The model...

Full description

Bibliographic Details
Main Authors:	Rahman, Kazi Aminur, Jannatun, Nayeem, Salek, Mr. Md. Abu
Format:	Article
Language:	English
Published:	BRAC University 2010
Subjects:	Non-linear incidence Vaccine coverage threshold Infectious diseases Stability analysis Basic reproduction number Endemic equilibrium
Online Access:	http://hdl.handle.net/10361/419

id	10361-419
record_format	dspace
spelling	10361-4192019-09-29T05:47:19Z The stability of a mathematical model in the presence of a preventive vaccine Rahman, Kazi Aminur Jannatun, Nayeem Salek, Mr. Md. Abu Non-linear incidence Vaccine coverage threshold Infectious diseases Stability analysis Basic reproduction number Endemic equilibrium Various kinds of deterministic models for the spread of infectious disease in populations have been analyzed mathematically and applied to specific diseases. In this paper a deterministic model for the dynamics of an infectious disease in the presence of a preventive vaccine is formulated. The model is a special case of a more general model, which is also applicable to other models of infectious diseases. The three dimensional model which assumes a non-linear incidence rate is analyzed qualitatively to determine the stability of its equilibria. This model is used to investigate the potential impact of the optimal vaccine coverage threshold needed for disease control and eradication 2010-10-10T06:39:41Z 2010-10-10T06:39:41Z 2008 Article http://hdl.handle.net/10361/419 en BRAC University Journal, BRAC University;Vol.5, No.1,pp. 19-24 application/pdf BRAC University
institution	Brac University
collection	Institutional Repository
language	English
topic	Non-linear incidence Vaccine coverage threshold Infectious diseases Stability analysis Basic reproduction number Endemic equilibrium
spellingShingle	Non-linear incidence Vaccine coverage threshold Infectious diseases Stability analysis Basic reproduction number Endemic equilibrium Rahman, Kazi Aminur Jannatun, Nayeem Salek, Mr. Md. Abu The stability of a mathematical model in the presence of a preventive vaccine
description	Various kinds of deterministic models for the spread of infectious disease in populations have been analyzed mathematically and applied to specific diseases. In this paper a deterministic model for the dynamics of an infectious disease in the presence of a preventive vaccine is formulated. The model is a special case of a more general model, which is also applicable to other models of infectious diseases. The three dimensional model which assumes a non-linear incidence rate is analyzed qualitatively to determine the stability of its equilibria. This model is used to investigate the potential impact of the optimal vaccine coverage threshold needed for disease control and eradication
format	Article
author	Rahman, Kazi Aminur Jannatun, Nayeem Salek, Mr. Md. Abu
author_facet	Rahman, Kazi Aminur Jannatun, Nayeem Salek, Mr. Md. Abu
author_sort	Rahman, Kazi Aminur
title	The stability of a mathematical model in the presence of a preventive vaccine
title_short	The stability of a mathematical model in the presence of a preventive vaccine
title_full	The stability of a mathematical model in the presence of a preventive vaccine
title_fullStr	The stability of a mathematical model in the presence of a preventive vaccine
title_full_unstemmed	The stability of a mathematical model in the presence of a preventive vaccine
title_sort	stability of a mathematical model in the presence of a preventive vaccine
publisher	BRAC University
publishDate	2010
url	http://hdl.handle.net/10361/419
work_keys_str_mv	AT rahmankaziaminur thestabilityofamathematicalmodelinthepresenceofapreventivevaccine AT jannatunnayeem thestabilityofamathematicalmodelinthepresenceofapreventivevaccine AT salekmrmdabu thestabilityofamathematicalmodelinthepresenceofapreventivevaccine AT rahmankaziaminur stabilityofamathematicalmodelinthepresenceofapreventivevaccine AT jannatunnayeem stabilityofamathematicalmodelinthepresenceofapreventivevaccine AT salekmrmdabu stabilityofamathematicalmodelinthepresenceofapreventivevaccine
_version_	1814306961196318720

The stability of a mathematical model in the presence of a preventive vaccine

Similar Items