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Optimal control for malaria vector for a seasonal mathematical model
Ana Paula Pintado Wyse
Location: http://www.lncc.br/tdmc/tde_busca/arquivo.php?codArquivo=140

In the Amazonian region occurs a variation in the malaria incidence, which is related to the pluviometric variation annual. The mathematical model proposed here considers this seasonality and different treatment intensities accessible to the infected people. The numerical evidence the seasonal fluctuation and the relationship between the environment temperature and treatment efficiency, showing that the temperature increase strongly affects the extrinsic latent period,reducing the healthy care efficiency. Because malaria treatment already exists it should be import. For another hand, even the investment in treatment is an efficient form to block the epidemy, it is not always sufficient, because the protozoan has been more resistent to the medicine; then scientists are creating transgenic mosquitoes refractory to malaria to couple with wild one, generating descending transgenic. To avaliate this situation, we consider here a mathematical model that describes the relatioship between these populations. Then, we formulate and solve an optimal control problem indicating how the transgenic mosquitoes should be introduced in the environment. The numerical simulations show the effectiveness of the control.

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Optimal control for malaria vector for a seasonal mathematical model
Id. 30792887
Idioma PT
Titulo Optimal control for malaria vector for a seasonal mathematical model
Autor(es) Ana Paula Pintado Wyse
Location http://www.lncc.br/tdmc/tde_busca/arquivo.php?codArquivo=140
Versión 1.0
Estado Final
Descripción In the Amazonian region occurs a variation in the malaria incidence, which is related to the pluviometric variation annual. The mathematical model proposed here considers this seasonality and different treatment intensities accessible to the infected people. The numerical evidence the seasonal fluctuation and the relationship between the environment temperature and treatment efficiency, showing that the temperature increase strongly affects the extrinsic latent period,reducing the healthy care efficiency. Because malaria treatment already exists it should be import. For another hand, even the investment in treatment is an efficient form to block the epidemy, it is not always sufficient, because the protozoan has been more resistent to the medicine; then scientists are creating transgenic mosquitoes refractory to malaria to couple with wild one, generating descending transgenic. To avaliate this situation, we consider here a mathematical model that describes the relatioship between these populations. Then, we formulate and solve an optimal control problem indicating how the transgenic mosquitoes should be introduced in the environment. The numerical simulations show the effectiveness of the control.
Tipo PDF
Palabras clave Mathematical model
Tipo de recurso Electronic Thesis or Dissertation
Tese ou Dissertacao Eletronica
Tipo de Interactividad Expositivo
Nivel de Interactividad muy bajo
Audiencia Estudiante
Profesor
Autor
Estructura Atomic
Coste no
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Liberar o conteúdo dos arquivos para acesso público
Formatos PDF
Requerimientos técnicos Browser: Any
Fecha de contribución 06-sep-2008
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