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Control strategies on mosquitos population for the fight against arboviruses. (arXiv:1901.05688v1 [math.AP])
来源于:arXiv
In the fight against vector-borne arboviruses, an important strategy of
control of epidemic consists in controlling the population of vector,
\textit{Aedes} mosquitoes in this case. Among possible actions, two techniques
consist in releasing mosquitoes to reduce the size of the population (Sterile
Insect Technique) or in replacing the wild population by a population carrying
a bacteria, called \textit{Wolbachia}, blocking the transmission of viruses
from mosquitoes to human. This paper is concerned with the question of
optimizing the release protocol for these two strategies with the aim of
getting as close as possible to the objectives. Starting from a mathematical
model describing the dynamics of the population, we include the control
function and introduce the cost functional for both \textit{population
replacement} and \textit{Sterile Insect Technique} problems. Next, we establish
some properties of the optimal control and illustrate them with some numerical
simulations. 查看全文>>