A Delayed epidemic model with pulse vaccination
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Date
2010
Authors
Karim, Nur Fathonah Lafuzah
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Abstract
Infectious diseases affect many people every year. Nowadays, we see various infectious
diseases such as HlNl, AIDS, Dengue, SARS and others. Control and eradication of
infectious diseases is something to hope for help. In this respect mathematical modeling
is very important to understand infectious disease. In this dissertation, we describe and
analysis the epidemiological phenomena of infectious disease. Firstly, we discuss the
general epidemic model known as SIR epidemic model. This model involves
susceptible, infected, recovered and vaccinated individuals. Next, we analysis a delayed
SVIR epidemic model with pulse vaccination. Here we include parameters such as birth
and death. By using lemma and theorem, we able to prove that under the condition that
R < 1 the infection-free periodic solution is globally attractive. In this research, we only
consider the case R < 1. The models can be improved by including other parameters.
Some recommendations are given to get better vaccination strategies to eradicate the
infectious disease.
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Keywords
Epidemic model , Pulse vaccination