Resource data
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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Detalles del recurso
|
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
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| Tipo de Interactividad |
Expositivo
|
| Nivel de Interactividad |
muy bajo
|
| Audiencia |
Estudiante
Profesor
Autor
|
| Estructura |
Atomic |
| Coste |
no
|
| Copyright |
sí
|
|
Liberar o conteúdo dos arquivos para acesso público |
| Formatos |
PDF |
| Requerimientos técnicos |
Browser: Any |
| Fecha de contribución |
06-sep-2008 |
| Contacto |
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