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Releasing sterile Wolbachia-infected mosquitoes to invade wild mosquito population is a method of mosquito control. In this paper, a stochastic mosquito population model with Wolbachia invasion perturbed by environmental fluctuation is…

Dynamical Systems · Mathematics 2023-08-04 Yuanping Cui , Xiaoyue Li , Xuerong Mao , Hongfu Yang

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 release of Wolbachia-infected mosquitoes is a promising strategy for controlling Aedes aegypti populations, but exposure to high temperatures can induce temporary infection loss and compromise long-term persistence. In this work, we…

Populations and Evolution · Quantitative Biology 2026-02-10 Jéssica C. S. Alves , Christian E. Schaerer , Cláudia P. Ferreira

An ordinary differential model is proposed to understand the role of egg quiescence on the efficacy of releasing Wolbachia-infected mosquitoes to control arbovirus transmission. The model admits up to five equilibrium points and four…

Populations and Evolution · Quantitative Biology 2025-07-17 Luís E. S. Lopes , Cláudia P. Ferreira

Malaria is a life threatening disease, entirely preventable and treatable, provided the currently recommended interventions are properly implemented. These interventions include vector control through the use of insecticide-treated nets…

Optimization and Control · Mathematics 2013-08-01 Cristiana J. Silva , Delfim F. M. Torres

The introduction of Wolbachia-carrying mosquitoes into the population has recently been proposed as an alternative strategy against dengue. Although laboratory experiments have shown that the Wolbachia bacterium can reduce the levels of…

Populations and Evolution · Quantitative Biology 2017-11-13 Meksianis Z. Ndii

Millions of people around the world are infected with mosquito-borne diseases each year. One of the most dangerous species is Aedes aegypti, the main vector of viruses such as dengue, yellow fever, chikungunya, and Zika, among others.…

Machine Learning · Computer Science 2024-01-30 Javier Aira , Teresa Olivares Montes , Francisco M. Delicado , Darìo Vezzani

This paper proposes two realistic and biologically viable methods for Wolbachia-based biocontrol of Aedes aegypti mosquitoes, assuming imperfect maternal transmission of the Wolbachia bacterium, incomplete cytoplasmic incompatibility, and…

Scientists have been seeking ways to use Wolbachia to eliminate the mosquitoes that spread human diseases. Could Wolbachia be the determining factor in controlling the mosquito-borne infectious diseases? To answer this question…

Analysis of PDEs · Mathematics 2020-06-30 yunfeng Liu , Zhiming Guo , Mohammad El Smaily , Lin Wang

Mosquitoes are vectors of numerous diseases; a strategy to fight the spread of these diseases is to control the vector population. In this article, we focus on the use of the sterile insect technique. Starting from a reaction-diffusion…

Analysis of PDEs · Mathematics 2025-11-06 Luís Almeida , Alexis Léculier , Nga Nguyen , 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

Wolbachia is a naturally occurring bacterium that can infect Aedes mosquitoes and reduce the transmission of mosquito-borne diseases, including dengue fever, Zika, and chikungunya. Field trials have been conducted worldwide to suppress…

Populations and Evolution · Quantitative Biology 2024-12-02 Zhuolin Qu , Tong Wu

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 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

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

Recently, the RIDL-SIT technology has been field-tested for control of Aedes aegypti. The technique consists of releasing genetically modified mosquitoes carrying a "lethal gene". In 2016 the World Health Organisation (WHO) and the…

Populations and Evolution · Quantitative Biology 2020-06-02 Mario A. Natiello , Hernán G. Solari

In mathematical epidemiology, epidemic control often aims at driving the number of infected individuals to zero, asymptotically. However , during the transitory phase, the number of infected can peak at high values. In this paper, we…

Optimization and Control · Mathematics 2015-10-06 Michel De Lara , Lilian Sofia Sepulveda Salcedo

Wolbachia is possibly the most studied reproductive parasite of arthropod species. It appears to be a promising candidate for biocontrol of some mosquito borne diseases. We begin by developing a sex-structured model for a Wolbachia infected…

Populations and Evolution · Quantitative Biology 2019-03-06 József Z. Farkas , Stephen A. Gourley , Rongsong Liu , Abdul-Aziz Yakubu

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

Mosquito vector competence is usually represented as a process in which once virus is detected in saliva, mosquitoes are assumed to remain infectious for life, implying an irreversible transition to the transmitting state. However, some…

Populations and Evolution · Quantitative Biology 2026-04-30 Léa Loisel , Tristan Monrocq , Vincent Raquin , Pauline Ezanno , Gaël Beaunée