Study and application of an optimal control strategy in the population dynamics of Aedes

• Grant number: 19/19109-9
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: November 01, 2019
• End date: October 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Fernando Luiz Pio dos Santos
• Grantee: Lucas Gasperini Apergis
• Host Institution: Instituto de Biociências (IBB). Universidade Estadual Paulista (UNESP). Campus de Botucatu. Botucatu , SP, Brazil

Abstract

Control mechanisms are currently being studied to reduce the population of the Aedes aegypti mosquito. A. aegypti is the main vector that transmits the dengue virus to humans through the bite of infected female mosquito. Mechanical control is essentially the removal or cleaning of potential breeding sites by public health agents and habitants. The life cycle of A. aegypti consists of the aquatic (egg, larva and pupa) and winged (adult mosquito) phases. The life cycle dynamics will be described by a mathematical model with mechanical control in the aquatic phase. The objective is to study and solve the problem of optimal mechanical control applied to the population dynamics of Aedes through mathematical and computational modeling, in order to minimize this population in the aquatic phase, breaking the life cycle and, consequently, to observe the decrease of this population in the adult phase.