Control strategies on mosquitos population for the fight against arboviruses

Abstract : 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.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [31 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01984426
Contributor : Yannick Privat <>
Submitted on : Thursday, January 17, 2019 - 7:32:37 AM
Last modification on : Wednesday, May 15, 2019 - 3:39:40 AM
Long-term archiving on : Thursday, April 18, 2019 - 3:26:23 PM

Files

MBE_HAL.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01984426, version 1
  • ARXIV : 1901.05688

Citation

Luís Almeida, Michel Duprez, Yannick Privat, Nicolas Vauchelet. Control strategies on mosquitos population for the fight against arboviruses. 2019. ⟨hal-01984426⟩

Share

Metrics

Record views

208

Files downloads

187