A Delayed epidemic model with pulse vaccination

dc.contributor.authorKarim, Nur Fathonah Lafuzah
dc.date.accessioned2015-07-30T01:22:32Z
dc.date.available2015-07-30T01:22:32Z
dc.date.issued2010
dc.description.abstractInfectious 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.en_US
dc.identifier.urihttp://hdl.handle.net/123456789/900
dc.language.isoenen_US
dc.subjectEpidemic modelen_US
dc.subjectPulse vaccinationen_US
dc.titleA Delayed epidemic model with pulse vaccinationen_US
dc.typeThesisen_US
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