Full text
| |
| Author(s): |
Anderson Luis Albuquerque de Araujo
Total Authors: 1
|
| Document type: | Doctoral Thesis |
| Press: | Campinas, SP. |
| Institution: | Universidade Estadual de Campinas (UNICAMP). Instituto de Matemática, Estatística e Computação Científica |
| Defense date: | 2010-07-29 |
| Examining board members: |
José Luiz Boldrini;
Bianca Morelli Rodolfo Calsavara;
Luiz Adauto da Justa Medeiros;
Haroldo Rodrigues Clark;
Fagner Dias Araruna
|
| Advisor: | José Luiz Boldrini |
| Abstract | |
The proliferation of mosquitoes in inhabited regions is an important public health issue since these insects are vectors of several infectious diseases. Thus, the study of techniques for controlling of mosquito populations has an important role in the quest for efficient combat techniques; in particular, the adequate understanding of mathematical models that describe such situations may help in the decision process of finding appropriate procedures to attain that. With this goal, in this work we performed a rigorous mathematical analysis of a certain optimal control problem associated to a partial differential equation modeling the growth and spreading of the mosquito population in a given region. We analyze the problem of controlling such population through the application of insecticide by a spraying unit; our objective is to search for optimal paths to be followed by this unit in order to minimize a certain functional that involves both the whole mosquito population and the operational costs (AU) | |