| Full text | |
| Author(s): |
Albuquerque de Araujo, Anderson L.
[1]
;
Boldrini, Jose L.
[2]
;
Cabrales, Roberto C.
[3]
;
Fernandez-Cara, Enrique
[4, 5]
;
Oliveira, Milton L.
[6]
Total Authors: 5
|
| Affiliation: | [1] Univ Fed Vicosa, Dept Matemat, BR-36570000 Vicosa, MG - Brazil
[2] Univ Estadual Campinas, Fac Engn Mecan, Dept Sistemas Integrados, BR-13083970 Campinas - Brazil
[3] Univ La Serena, Inst Invest Multidisciplinaria Ciencia & Tecnol, La Serena 1720256 - Chile
[4] Univ Seville, Dept Ecuac Diferenciales & Anal Numer, Seville 41004 - Spain
[5] Univ Seville, IMUS, Seville 41004 - Spain
[6] Univ Fed Paraiba, Dept Matemat, BR-58051900 Joao Pessoa, Paraiba - Brazil
Total Affiliations: 6
|
| Document type: | Journal article |
| Source: | MATHEMATICS; v. 9, n. 15 AUG 2021. |
| Web of Science Citations: | 0 |
| Abstract | |
We consider some optimal control problems for systems governed by linear parabolic PDEs with local controls that can move along the domain region omega of the plane. We prove the existence of optimal paths and also deduce the first order necessary optimality conditions, using the Dubovitskii-Milyutin's formalism, which leads to an iterative algorithm of the fixed-point kind. This problem may be considered as a model for the control of a mosquito population existing in a given region by using moving insecticide spreading devices. In this situation, an optimal control is any trajectory or path that must follow such spreading device in order to reduce the population as much as possible with a reasonable not too expensive strategy. We illustrate our results by presenting some numerical experiments. (AU) | |
| FAPESP's process: | 09/15098-0 - Assessing control of epidemics using mathematical and computer models |
| Grantee: | Hyun Mo Yang |
| Support Opportunities: | Research Projects - Thematic Grants |
| FAPESP's process: | 06/02262-9 - A mathematical analysis of a model of control of mosquito populations |
| Grantee: | Anderson Luis Albuquerque de Araujo |
| Support Opportunities: | Scholarships in Brazil - Master |