| Revista: | Computational & applied mathematics |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000267933 |
| ISSN: | 1807-0302 |
| Autors: | Rafikov, Marat1 Balthazar, Jose Manoel2 |
| Institucions: | 1Universidade de Ijui, Departamento de Fisica, Estatistica e Matematica, Ijui, Rio Grande do Sul. Brasil 2Universidade Estadual Paulista "Julio de Mesquita Filho", Departamento de Estatistica, Matematica Aplicada e Computacao, Rio Claro, Sao Paulo. Brasil |
| Any: | 2005 |
| Període: | Ene-Abr |
| Volum: | 24 |
| Número: | 1 |
| Paginació: | 65-81 |
| País: | Brasil |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Analítico, descriptivo |
| Resumen en inglés | One of the main goals of the pest control is to maintain the density of the pest population in the equilibrium level below economic damages. For reaching this goal, the optimal pest control problem was divided in two parts. In the first part, the two optimal control functions were considered. These functions move the ecosystem pest-natural enemy at an equilibrium state below the economic injury level. In the second part, the one optimal control function stabilizes the ecosystem in this level, minimizing the functional that characterizes quadratic deviations of this level. The first problem was resolved through the application of the Maximum Principle of Pontryagin. The Dynamic Programming was used for the resolution of the second optimal pest control problem |
| Disciplines | Matemáticas, Biología, Agrociencias |
| Paraules clau: | Matemáticas aplicadas, Ecología, Fitopatología, Control de plagas, Principio máximo de Pontryagin, Ecuación de Hamilton-Jacobi-Bellman, Modelos matemáticos |
| Keyword: | Mathematics, Biology, Agricultural sciences, Applied mathematics, Ecology, Phytopathology, Pests control, Pontryagin maximum principle, Hamilton-Jacobi-Bellman equation, Mathematical models |
| Text complet: | Texto completo (Ver HTML) |
