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Mosquitoes are responsible for the transmission of many diseases such as dengue fever, zika or chigungunya. One way to control the spread of these diseases is to use the sterile insect technique (SIT), which consists in a massive release of…

Analysis of PDEs · Mathematics 2021-11-17 Luís Almeida , Michel Duprez , Yannick Privat , Nicolas Vauchelet

Vector/Pest control is essential to reduce the risk of vector-borne diseases or losses in crop fields. Among biological control tools, the sterile insect technique (SIT), is the most promising one. SIT control generally consists of massive…

Dynamical Systems · Mathematics 2020-12-30 R. Anguelov , Y. Dumont , V. Yatat

Vector or pest control is essential to reduce the risk of vector-borne diseases or crop losses. Among the available biological control tools, the Sterile Insect Technique (SIT) is one of the most promising. However, SIT-control campaigns…

Populations and Evolution · Quantitative Biology 2019-11-04 Pierre-Alexandre Bliman , Daiver Cardona-Salgado , Yves Dumont , Olga Vasilieva

Vector control is critical to limit the circulation of vector-borne diseases like chikungunya, dengue or zika which have become important issues around the world. Among them the Sterile Insect Technique (SIT) and the Incompatible Insect…

Dynamical Systems · Mathematics 2018-05-28 Martin Strugarek , Herve Bossin , Yves Dumont

In this paper, we introduce a control strategy for applying the Sterile Insect Technique (SIT) to eliminate the population of Aedes mosquitoes which are the vectors of various deadly diseases like dengue, zika, chikungunya... in a wide…

Analysis of PDEs · Mathematics 2022-11-16 Alexis Léculier , Nga Nguyen

In this article, we consider a simplified model of time dynamics for a mosquito population subject to the artificial introduction of {\itshape Wolbachia}-infected mosquitoes, in order to fight arboviruses transmission.Indeed, it has been…

Analysis of PDEs · Mathematics 2019-09-09 Luís Almeida , Yannick Privat , Martin Strugarek , Nicolas Vauchelet

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…

Optimization and Control · Mathematics 2019-03-05 Pierre-Alexandre Bliman

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…

Analysis of PDEs · Mathematics 2019-01-18 Luís Almeida , Michel Duprez , Yannick Privat , Nicolas Vauchelet

In this work we present a mathematical model that integrates the epidemiological dynamics of a vector-borne disease (SIR-SI) with Lotka Volterra predator prey ecological interactions. The study analyzes how the presence of natural predators…

Optimization and Control · Mathematics 2026-02-09 Rocio Balderrama , Ignacio Ceresa Dussel , Constanza Sanchez de la Vega

This work is devoted to the mathematical study of an optimization problem regarding control strategies of mosquito population in a heterogeneous environment. Mosquitoes are well-known vectors of diseases. For some diseases, such as dengue,…

Optimization and Control · Mathematics 2025-03-11 Luis Almeida , Jesús Bellver Arnau , Gwenaël Peltier , Nicolas Vauchelet

The sterile insect technique (SIT) is a technique to control pests and vectors of diseases by releasing mainly sterile males. Several challenges need to be solved before large-scale field application in order to guarantee its success. In…

Dynamical Systems · Mathematics 2023-10-23 Yves Dumont , Valaire Ivric Yatat-Djeumen

The Sterile Insect Technique (SIT) against insect pests and insect vectors consists of releasing males that have been previously sterilized in order to reduce or eliminate a specific wild population. We study this complex control question…

Optimization and Control · Mathematics 2026-05-26 Cédric Join , Luis Almeida , Michel Fliess

Mosquitoes are vectors of viral diseases with epidemic potential in many regions of the world, and in absence of vaccines or therapies, their control is the main alternative. Chemical control through insecticides has been one of the…

Populations and Evolution · Quantitative Biology 2021-04-07 Pastor Pérez Estigarribia , Pierre-Alexandre Bliman , Christian Schaerer

A model with six mutually-exclusive compartments related to Dengue disease is presented. In this model there are three vector control tools: insecticides (larvicide and adulticide) and mechanical control. The problem is studied using an…

Optimization and Control · Mathematics 2012-07-10 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

Aedes Aegypti is the vector of several deadly diseases, including Zika. Effective and sustainable vector control measures must be deployed to keep A. aegypti numbers under control. The distribution of A. Aegypti is subject to spatial and…

Populations and Evolution · Quantitative Biology 2016-08-05 Chathika Gunaratne , Mustafa Ilhan Akbas , Ivan Garibay , Ozlem Ozmen

The model considers the human population, the adult mosquito population and the population of immature stages, which includes eggs, larvae and pupae. The model also considers the vertical transmission of dengue in the mosquitoes and the…

Vector control plays a central role in the fight against vector-borne diseases and, in particular, arboviruses. The use of the endosymbiotic bacterium Wolbachia has proven effective in preventing the transmission of some of these viruses…

Analysis of PDEs · Mathematics 2020-04-07 Luis Almeida , Jesús Bellver , Michel Duprez , Yannick Privat

The Sterile Insect Technique (SIT) is one of the sustainable strategies for the control of disease vectors, which consists of releasing sterilized males that will mate with the wild females, resulting in a reduction and, eventually a local…

Dynamical Systems · Mathematics 2024-09-12 Pierre-Alexandre Bliman , Nga Nguyen , Nicolas Vauchelet

The development of sustainable vector/pest control methods is of utmost importance to reduce the risk of vector-borne diseases and pest damages on crops. Among them, the Sterile Insect Technique (SIT) is a very promising one. In this paper,…

Analysis of PDEs · Mathematics 2020-10-05 Roumen Anguelov , Yves Dumont , Ivric Valaire Yatat Djeumen

We introduce a stochastic household model for vector-borne diseases, in particular as relevant to prominent vectors belonging to the Aedes genus and hence the Zika, chikungunya, and dengue viruses. In this model, vectors remain local to…

Populations and Evolution · Quantitative Biology 2022-03-01 Andrew Black , Andrew Smith , Alun Lloyd , Joshua Ross
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