An approach of the exact linearization techniques to analysis of population dynamics of the mosquito Aedes aegypti

Autor(es)

dos Reis, Celia A. ^[1] ; Florentino, Helenice de O. ^[2] ; Colon, Diego ^[3] ; Fleury Rosa, Suelia R. ^[4] ; Cantane, Daniela R. ^[2]

Afiliação do(s) autor(es)

^[1] UNESP, FC, Dept Matemat, BR-17033360 Bauru, SP - Brazil

^[2] UNESP, IB, Dept Bioestat, BR-18618670 Botucatu, SP - Brazil

^[3] Univ Sao Paulo, POLI, LAC PTC, BR-05508900 Sao Paulo, SP - Brazil

^[4] Univ Brasilia, UnB, Brasilia, DF - Brazil

• Tipo de documento: Artigo Científico
• Fonte: MATHEMATICAL BIOSCIENCES; v. 299, p. 51-57, MAY 2018.
• Citações Web of Science: 0

Resumo

Dengue fever, chikungunya and zika are caused by different viruses and mainly transmitted by Aedes aegypti mosquitoes. These diseases have received special attention of public health officials due to the large number of infected people in tropical and subtropical countries and the possible sequels that those diseases can cause. In severe cases, the infection can have devastating effects, affecting the central nervous system, muscles, brain and respiratory system, often resulting in death. Vaccines against these diseases are still under development and, therefore, current studies are focused on the treatment of diseases and vector (mosquito) control. This work focuses on this last topic, and presents the analysis of a mathematical model describing the population dynamics of Aedes aegypti, as well as present the design of a control law for the mosquito population (vector control) via exact linearization techniques and optimal control. This control strategy optimizes the use of resources for vector control, and focuses on the aquatic stage of the mosquito life. Theoretical and computational results are also presented. (AU)

• Processo FAPESP: 09/15098-0 - Avaliando controle de epidemias utilizando modelos matemáticos e computacionais
• Beneficiário: Hyun Mo Yang
• Modalidade de apoio: Auxílio à Pesquisa - Temático
• Processo FAPESP: 14/01604-0 - Metodologia multiobjetivo para otimização de processos em energias renováveis
• Beneficiário: Helenice de Oliveira Florentino Silva
• Modalidade de apoio: Bolsas no Exterior - Pesquisa