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Title: Seasonality effects on dengue: basic reproduction number, sensitivity analysis and otpimal control
Author: Rodrigues, Helena Sofia
Monteiro, M. Teresa T.
Torres, Delfim F. M.
Keywords: Dengue
Vectorial capacity
Basic reproduction number
Sensitivity analysis
Optimal control
Issue Date: Nov-2016
Publisher: Wiley Online Library
Abstract: Dengue is a vector-borne disease transmitted from an infected human to an Aedes mosquito, during a blood-meal. Dengue is still a major public health problem. A model for the disease transmission is presented, composed by human and mosquitoes compartments. The aim is to simulate the effects of seasonality, on the vectorial capacity and, consequently, on the disease development. Using entomological information about the mosquito behavior under different temperatures and rainfall, simulations are carried out and the repercussions analyzed. The basic reproduction number of the model is given, as well as a sensitivity analysis of model's parameters. Finally, an optimal control problem is proposed and solved, illustrating the difficulty of making a trade-off between reduction of infected individuals and costs with insecticide.
Peer review: yes
DOI: 10.1002/mma.3319
ISSN: 0170-4214
Appears in Collections:CIDMA - Artigos
SCG - Artigos

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