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Access type: UnknownSubject: search.filters.subject.Dengue disease

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    Optimal control of dengue transmission with vaccination
    (2021-08-01)
    Chamnan, Anusit
    ;
    Pongsumpun, Puntani
    ;
    Tang, I. Ming
    ;
    Wongvanich, Napasool
    Dengue disease is caused by four serotypes of the dengue virus: DEN-1, DEN-2, DEN-3, and DEN-4. The chimeric yellow fever dengue tetravalent dengue vaccine (CYD-TDV) is a vaccine currently used in Thailand. This research investigates what the optimal control is when only individuals having documented past dengue infection history are vaccinated. This is the present practice in Thailand and is the latest recommendation of the WHO. The model used is the Susceptible-Infected-Recovered (SIR) model in series configuration for the human population and the Susceptible-Infected (SI) model for the vector population. Both dynamical models for the two populations were recast as optimal control problems with two optimal control parameters. The analysis showed that the equilibrium states were locally asymptotically stable. The numerical solution of the control systems and conclusions are presented.
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    Dengue infection model with temperature and the biting of aedes aegypti and ades albopictus in thailand
    (2020-08-05)
    Pongsumpun, Puntani
    Dengue is the transmission disease occurred by biting of infected Aedes aegypti and infected Aedes albopictus. The temperature of each area influences to the transmission of this disease. In this paper, we describe the transmission of this disease by using mathematical model. We separate the human population into susceptible, exposed, infectious and recovered classes. The vector population is divided into Aedes aegypti and Aedes albopictus. The mosquito population is separated into susceptible, exposed and infectious classes. We analyzed our mathematical model by finding the equilibrium points and determined the stability of each steady state. The numerical solutions are shown. The difference of temperatures is shown to describe the behaviors of human and vector populations. From the results, we will see that the temperature influences to the transmission of dengue disease.
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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.
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    The basic reproductive number for the transmission of four serotypes of dengue model
    (2011-06-13)
    Pongsumpun, Puntani
    Dengue disease is transmitted to the human by biting of the infected Aedes Aegypti. This disease is classified as Dengue fever (DF), Dengue hemorrhagic fever (DHF) and Dengue shock syndrome(DSS) depend on the symptom of the patient. There are four serotypes (DEN-1, DEN-2, DEN-3 and DEN-4) of dengue virus. Mathematical model is constructed to describe the transmission of the disease. The severity of the disease depends on the age of the patient. We formulate the mathematical model by dividing the population into juvenile and adult classes. There are the difference transmission probabilities of dengue virus to the juvenile and adult humans for each serotype. We use the standard dynamical modeling method for analyzing this model. The analytical solutions are obtained. The comparisons of the numerical solutions when there are the differences of the basic reproductive numbers are discussed.
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    Mathematical modeling for dengue transmission with the effect of season
    (2011-03-01)
    Kongnuy, R.
    ;
    Pongsumpun, P.
    Mathematical models can be used to describe the transmission of disease. Dengue disease is the most significant mosquito-borne viral disease of human. It now a leading cause of childhood deaths and hospitalizations in many countries. Variations in environmental conditions, especially seasonal climatic parameters, effect to the transmission of dengue viruses the dengue viruses and their principal mosquito vector, Aedes aegypti. A transmission model for dengue disease is discussed in this paper. We assume that the human and vector populations are constant. We showed that the local stability is completely determined by the threshold parameter, B<inf>0</inf>. If B<inf>0</inf> is less than one, the disease free equilibrium state is stable. If B<inf>0</inf> is more than one, a unique endemic equilibrium state exists and is stable. The numerical results are shown for the different values of the transmission probability from vector to human populations.