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Modelling And Analysis Of The Mitigation Strategies Dengue Virus Transmission Using Wolbachia

Posted on:2019-10-08Degree:MasterType:Thesis
Country:ChinaCandidate:X X XieFull Text:PDF
GTID:2370330548494838Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
Dengue fever is a vector-borne disease caused by dengue virus,and Aedes aegypti and Aedes albopictus are main vectors.It causes high morbidity,mortality and economic cost in tropical and subtropical countries or regions.Due to the globalization of the disease and the lack of effective mosquito control,the incidence of dengue fever keeps increasing and the geographic distribution keeps expanding.In order to effectively control the spread of dengue virus,this project studies the mitigation strategies for dengue virus using Wolbachia bacteria.Mathematical models have been developed to identify effective strategies of releasing Wolbachia-infected mosquitoe.The basic reproduction number derived can be used to predict whether the epidemic will spread or die out.The local stability is analyzed by Routh-Hurwitz theorem.Sensitivity analysis of the basic reproduction number is used to find the most sensitive parameters.Numerical simulations derived the best prequency and time.The results provide guidance for public health authorities to apply mitigation strategies to control the transmission of dengue virus.
Keywords/Search Tags:Dengue fever, Wolbachia bacteria, Basic reproduction number, Local stability analysis, Sensitivity analysis
PDF Full Text Request
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