| Full text | |
| Author(s): |
Total Authors: 2
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| Affiliation: | [1] Univ Estadual Santa Cruz, Ilheus, BA - Brazil
[2] Univ Estadual Campinas, Campinas, SP - Brazil
Total Affiliations: 2
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| Document type: | Journal article |
| Source: | NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS; v. 42, p. 353-377, AUG 2018. |
| Web of Science Citations: | 0 |
| Abstract | |
We analyze a system of nonlinear partial differential equations modeling the dynamics of certain mosquito populations by taking in consideration the iterations among the immature (aquatic) subpopulation, the adult winged subpopulation and the environment resources; the immature subpopulation is assumed to be age-structured and the model also considers the action of control mechanisms on these subpopulations. After a first analysis on the existence and uniqueness of solutions for the model, we use the obtained results to prove the existence of an optimal solution of a given optimal control problem. The corresponding first order optimality conditions are also rigorously obtained by approximating our original optimal control problem by pure optimization problems obtained by using penalization arguments. (C) 2018 Elsevier Ltd. All rights reserved. (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 |