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The sterile insect technique has emerged recently as a biologically secure and effective tool for suppressing wild mosquito pests. To improve the performance of this strategy, understanding the interaction between wild and sterile…

Dynamical Systems · Mathematics 2025-09-09 Rodrigo Fernández-Martínez , Alfonso Ruiz-Herrera

In this article, we are interested in the analysis and simulation of solutions to an optimal control problem motivated by population dynamics issues. In order to control the spread of mosquito-borne arboviruses, the population replacement…

Analysis of PDEs · Mathematics 2021-06-25 Michel Duprez , Romane Hélie , Yannick Privat , Nicolas Vauchelet

Dengue transmission is shaped by the population dynamics of the Aedes aegypti mosquito, making vector control a central strategy for disease mitigation. The impact of interventions such as larvicide, adulticide, and breeding-site reduction…

Dynamical Systems · Mathematics 2026-05-13 Aram Vajdi , Lee W. Cohnstaedt , Caterina M. Scoglio , Heman Shakeri

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

Controlling pest insects is a challenge of main importance to preserve crop production. In the context of Integrated Pest Management (IPM) programs, we develop a generic model to study the impact of mating disruption control using an…

Dynamical Systems · Mathematics 2018-02-20 Roumen Anguelov , Claire Dufourd , Yves Dumont

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

A deterministic nonlinear ordinary differential equation model for mosquito dynamics in which the mosquitoes can quest for blood either within a human population or within non-human/vertebrate populations is derived and studied. The model…

Populations and Evolution · Quantitative Biology 2024-12-10 Gideon A. Ngwa , Bime M. Ghakanyuy , Miranda I. Teboh-Ewungkem , Jacek Banasiak

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

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

In this paper, a novel West Nile Virus model looking upon the infected birds as monitoring threshold, for the mosquitoes and birds with impulsive state feedback control is considered. We obtain sufficient conditions of the global…

Dynamical Systems · Mathematics 2016-04-28 Lin-Fei Nie , Jing-Yun Shen

We analyze an epidemiological model to evaluate the effectiveness of multiple means of control in malaria-endemic areas. The mathematical model consists of a system of several ordinary differential equations, and is based on a…

Populations and Evolution · Quantitative Biology 2023-06-28 Jean Claude Kamgang , Christopher Thron

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

In areas infested with Aedes aegypti mosquitoes it may be possible to control dengue, and some other vector-borne diseases, by introducing Wolbachia-infected mosquitoes into the wildtype population. Thus far, empirical and theoretical…

Populations and Evolution · Quantitative Biology 2025-02-19 Abby Barlow , Sarah Penington , Ben Adams

Artificial releases of Wolbachia-infected Aedes mosquitoes have been under study in the past years for fighting vector-borne diseases such as dengue, chikungunya and zika. Several strains of this bacterium cause cytoplasmic incompatibility…

Analysis of PDEs · Mathematics 2017-07-31 Martin Strugarek , Nicolas Vauchelet , Jorge Zubelli

We study the discrete-time dynamical systems associated to a stage-structured wild and sterile mosquito population. We describe all fixed points of the evolution operator (which depends on five parameters) of mosquito population and show…

Dynamical Systems · Mathematics 2020-02-28 Z. S. Boxonov , U. A. Rozikov

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…

This paper focuses on the feedback global stabilization and observer construction for a sterile insect technique model. The Sterile Insect Technique (SIT) is one of the most ecological methods for controlling insect pests responsible for…

Dynamical Systems · Mathematics 2024-12-13 Kala Agbo Bidi

In this paper, we propose a simplified bidimensional Wolbachia infestation model in a population of Aedes aegypti mosquitoes, preserving the main features associated with the biology of this species that can be found in higher-dimensional…

Dynamical Systems · Mathematics 2020-11-23 Diego Vicencio , Olga Vasilieva , Pedro Gajardo

In a study conducted in Singapore, a country prone to dengue outbreaks due to its climate and urban population, researchers examined the effectiveness of releasing male Aedes aegypti mosquitoes infected with Wolbachia (wAlbB strain) to…

This work addresses the optimal birth control problem for invasive species in a spatial environment. We apply the method of semigroups to qualitatively analyze a size-structured population model in which individuals occupy a position in a…

Optimization and Control · Mathematics 2021-04-12 Manoj Kumar , Syed Abbas