In:
Mathematical Methods in the Applied Sciences, Wiley, Vol. 39, No. 16 ( 2016-11-15), p. 4671-4679
Kurzfassung:
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. Copyright © 2014 John Wiley & Sons, Ltd.
Materialart:
Online-Ressource
ISSN:
0170-4214
,
1099-1476
Sprache:
Englisch
Verlag:
Wiley
Publikationsdatum:
2016
ZDB Id:
1478610-2
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