Global analysis for a general epidemiological model with vaccination and varying population
Date
2010-07
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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
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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