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Author: search.filters.author.Sungchasit, R.Subject: search.filters.subject.Aedes albopictus

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    SIR transmission model of dengue virus taking into account two species of mosquitoes and an age structure in the human population
    (2015-07-28)
    Sungchasit, R.
    ;
    Pongsumpun, P.
    ;
    Tang, I. M.
    Dengue is a vector-borne disease. It is transmitted to humans by the bites of the Aedes aegypti and Aedes albopictus mosquitoes. The human population is separated into two classes, a child class and an adult class, each class being described by a SIR model. The transmission rates of the two mosquito species are different and depend on what class the humans belong to. We develop a single model taking into account the presence of two type of mosquitoes and two age classes and apply it to dengue fever. The model shows how it is possible for the maximum level of infected human to be reached in a short time. The nature of stability of the equilibrium state and the trajectories of the individual classes in the model are determined by the values of the basic reproduction number by setting the values of the parameters in the model to different values which reflect the environment in which the epidemic is occurring in the model.
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    Transmission model of dengue virus by Aedes aegypti and Aedes albopictus
    (2013-12-01)
    Sungchasit, R.
    ;
    Pongsumpun, P.
    ;
    Tang, I. M.
    Mathematical models are used for describing many diseases. Dengue disease is occurred by biting of infected Aedes aegypti and Aedes albopictus mosquitoes. Dengue outbreak is found during the rainy season. Each Aedes mosquito has the different dengue outbreaks and they depend on the temperature and areas. The standard dynamical modeling method is used in this study. The SIR (susceptible-infectedrecovered) model is modified to describe the transmission of dengue virus by two species of vectors. The transmission of dengue virus is varied with time. The dynamical analysis method is used for analyzing this model. We confirm these results by using numerical results. © 2013 Pushpa Publishing House, Allahabad, India.