Global analysis for a general epidemiological model with vaccination and varying population

Date

2010-07

Journal Title

Journal ISSN

Volume Title

Publisher

Elsevier, Netherlands

Abstract

An SIR model with vaccination and varying population is formulated. The global dynamics of this model and its corresponding proportionate system are investigated. The correlations between the two systems in terms of disease eradication and persistence are presented. Three critical vaccination rates φ1c , φ2c and φ3c are obtained. It is found that when φ >φ1c the disease can be eradicated by increasing the vaccination rate until it exceeds φ3c. When φ < φ1c , the disease can be controlled to an endemic level by taking the appropriate vaccination rate φ2c

Description

Keywords

SIRV MODEL, DISEASE FREE, ENDEMIC, GLOBAL DYNAMICS, VACCINATION RATE, SIR MODEL, DISEASE CONTROL, EPIDEMIOLOGY

Citation

Yang, W., Sun, C., & Arino, J. (2010). Global analysis for a general epidemiological model with vaccination and varying population. Journal of Mathematical Analysis and Application, 372: 208-223. doi:10.1016/j.jmaa.2010.07.017

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