Biomaterial Database

Optimal control of Aedes aegypti mosquitoes by the sterile insect technique and insecticide. 2010

Roberto C A Thomé, and Hyun Mo Yang, and Lourdes Esteva

CEFET/RJ, Departamento de Ensino Superior, DEPBG CEP: 20271-110, Rio de Janeiro, RJ, Brazil.

We present a mathematical model to describe the dynamics of mosquito population when sterile male mosquitoes (produced by irradiation) are introduced as a biological control, besides the application of insecticide. In order to analyze the minimal effort to reduce the fertile female mosquitoes, we search for the optimal control considering the cost of insecticide application, the cost of the production of irradiated mosquitoes and their delivery as well as the social cost (proportional to the number of fertilized females mosquitoes). The optimal control is obtained by applying the Pontryagin's Maximum Principle.

UI	MeSH Term	Description	Entries
D007306	Insecticides	Pesticides designed to control insects that are harmful to man. The insects may be directly harmful, as those acting as disease vectors, or indirectly harmful, as destroyers of crops, food products, or textile fabrics.	Insecticide
D008297	Male		Males
D008954	Models, Biological	Theoretical representations that simulate the behavior or activity of biological processes or diseases. For disease models in living animals, DISEASE MODELS, ANIMAL is available. Biological models include the use of mathematical equations, computers, and other electronic equipment.	Biological Model,Biological Models,Model, Biological,Models, Biologic,Biologic Model,Biologic Models,Model, Biologic
D009716	Numerical Analysis, Computer-Assisted	Computer-assisted study of methods for obtaining useful quantitative solutions to problems that have been expressed mathematically.	Analysis, Computer-Assisted Numerical,Computer-Assisted Numerical Analysis,Analyses, Computer-Assisted Numerical,Analysis, Computer Assisted Numerical,Computer Assisted Numerical Analysis,Computer-Assisted Numerical Analyses,Numerical Analyses, Computer-Assisted,Numerical Analysis, Computer Assisted
D010572	Pest Control, Biological	Use of naturally-occuring or genetically-engineered organisms to reduce or eliminate populations of pests.	Biological Pest Control,Biologic Pest Control,Pest Control, Biologic,Biologic Pest Controls,Biological Pest Controls,Pest Controls, Biologic,Pest Controls, Biological
D003715	Dengue	An acute febrile disease transmitted by the bite of AEDES mosquitoes infected with DENGUE VIRUS. It is self-limiting and characterized by fever, myalgia, headache, and rash. SEVERE DENGUE is a more virulent form of dengue.	Dengue Fever,Break-Bone Fever,Breakbone Fever,Classical Dengue,Classical Dengue Fever,Break Bone Fever,Classical Dengue Fevers,Classical Dengues,Dengue Fever, Classical,Dengue, Classical,Fever, Break-Bone,Fever, Breakbone,Fever, Dengue
D005260	Female		Females
D006801	Humans	Members of the species Homo sapiens.	Homo sapiens,Man (Taxonomy),Human,Man, Modern,Modern Man
D000330	Aedes	A genus of mosquitoes (CULICIDAE) frequently found in tropical and subtropical regions. YELLOW FEVER and DENGUE are two of the diseases that can be transmitted by species of this genus.	Aede
D000818	Animals	Unicellular or multicellular, heterotrophic organisms, that have sensation and the power of voluntary movement. Under the older five kingdom paradigm, Animalia was one of the kingdoms. Under the modern three domain model, Animalia represents one of the many groups in the domain EUKARYOTA.	Animal,Metazoa,Animalia