Feedback Control Principles for Biological Control of Dengue Vectors

Pierre-Alexandre Bliman 1
1 MAMBA - Modelling and Analysis for Medical and Biological Applications
Inria de Paris, LJLL (UMR_7598) - Laboratoire Jacques-Louis Lions
Abstract : Controlling diseases such as dengue fever, chikungunya and zika fever by introduction of the intracellular parasitic bacterium Wolbachia in mosquito populations which are their vectors, is presently quite a promising tool to reduce their spread. While description of the conditions of such experiments has received ample attention from biologists, entomologists and applied mathematicians, the issue of effective scheduling of the releases remains an interesting problem for Control theory. Having in mind the important uncertainties present in the dynamics of the two populations in interaction, we attempt here to identify general ideas for building release strategies, which should apply to several models and situations. These principles are exemplified by two interval observer-based feedback control laws whose stabilizing properties are demonstrated when applied to a model retrieved from Bliman et al., 2018. Crucial use is made of the theory of monotone dynamical systems.
Complete list of metadatas

Cited literature [37 references]  Display  Hide  Download

https://hal.inria.fr/hal-01944958
Contributor : Pierre-Alexandre Bliman <>
Submitted on : Tuesday, March 5, 2019 - 11:11:58 PM
Last modification on : Tuesday, December 10, 2019 - 3:08:21 PM
Long-term archiving on: Thursday, June 6, 2019 - 6:00:13 PM

File

ECC2019_SHORT.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-01944958, version 2

Citation

Pierre-Alexandre Bliman. Feedback Control Principles for Biological Control of Dengue Vectors. European Control Conference ECC19, Jun 2019, Naples, Italy. pp.6. ⟨hal-01944958v2⟩

Share

Metrics

Record views

149

Files downloads

621