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The sterile insect technique controls mosquito-borne diseases such as malaria, dengue, and yellow fever through either eradication or depressing the associated vector population. We formulate a three-dimensional delayed mosquito population…

动力系统 · 数学 2025-09-23 Ruqaya Hussein , Sergey Kryzhevich , Khosro Tajbakhsh

It is preliminarily known that Aedes mosquitoes are very close to humans and their dwellings, also give rises to a broad spectrum of diseases: dengue, yellow fever, chikungunya. In this paper, we explore a multi-age-class model for mosquito…

最优化与控制 · 数学 2017-12-04 Karunia Putra Wijaya , Thomas Goetz , Edy Soewono

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…

种群与进化 · 定量生物学 2024-12-10 Gideon A. Ngwa , Bime M. Ghakanyuy , Miranda I. Teboh-Ewungkem , Jacek Banasiak

The control of a mosquito population using the sterile insect technique is considered. Building on a model-based approach, where the control input is the release rate of sterilized males, we propose a non-negative backstepping control law…

最优化与控制 · 数学 2024-06-25 Andrea Cristofaro , Luca Rossi

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…

偏微分方程分析 · 数学 2025-11-06 Luís Almeida , Alexis Léculier , Nga Nguyen , Nicolas Vauchelet

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…

动力系统 · 数学 2018-05-28 Martin Strugarek , Herve Bossin , Yves Dumont

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…

动力系统 · 数学 2020-02-28 Z. S. Boxonov , U. A. Rozikov

Recently, continuous-time dynamical systems, based on systems of ordinary differential equations, for mosquito populations are studied. In this paper we consider discrete-time dynamical system generated by an evolution quadratic operator of…

动力系统 · 数学 2018-03-06 U. A. Rozikov , M. V. Velasco

Mosquito-borne diseases remain a major public-health threat, and the effective control of mosquito populations requires sustained household participation in removing breeding sites. While environmental drivers of mosquito oscillations have…

动力系统 · 数学 2026-01-09 Mohammad Rubayet Rahman , Chanaka Kottegoda , Lucas M. Stolerman

Sterile Insect Technique (SIT) is widely regarded as a promising, environmentally friendly and chemical-free strategy for the prevention and control of dengue and other vector-borne diseases. In this paper, we develop and analyze a…

数值分析 · 数学 2026-03-26 Oscar Eduardo Escobar-Lasso , Stefan Frei , Reinhard Racke , Olga Vasilieva

Mosquito-borne diseases cause several hundred thousand deaths every year. Deciphering mosquito host-seeking behavior is essential to prevent disease transmission through mosquito capture and surveillance. Despite recent substantial…

In this paper, we propose a sex-structured entomological model that serves as a basis for design of control strategies relying on releases of sterile male mosquitoes (Aedes spp) and aiming at elimination of the wild vector population in…

最优化与控制 · 数学 2020-10-02 Pierre-Alexandre Bliman , Daiver Cardona-Salgado , Yves Dumont , Olga Vasilieva

This work focuses on feedback control strategies for applying the sterile insect technique (SIT) to eliminate pest populations. The presentation is centered on the case of mosquito populations, but most of the results can be extended to…

偏微分方程分析 · 数学 2025-12-03 Kala Agbo Bidi , Luís Almeida , Jean-Michel Coron

We present a methodology for modelling population dynamics with formal means of computer science. This allows unambiguous description of systems and application of analysis tools such as simulators and model checkers. In particular, the…

计算工程、金融与科学 · 计算机科学 2010-08-20 Thomas Anung Basuki , Antonio Cerone , Roberto Barbuti , Andrea Maggiolo-Schettini , Paolo Milazzo , Elisabetta Rossi

In this paper, we study a discrete-time dynamical system generated by the evolution operator of a wild mosquito population with specific rates of birth and emergence from larvae to adults. The death rates of larvae and adults are assumed to…

动力系统 · 数学 2022-11-04 Z. S. Boxonov

We consider a recently introduced model of mosquito dynamics that includes mating and progression through breeding, questing and egg-laying stages of mosquitoes using human and other vertebrate sources for blood meals. By exploiting a…

种群与进化 · 定量生物学 2024-11-12 J. Banasiak , Bime M. Ghakanyuy , Gideon A. Ngwa

In this paper, we investigate the dynamical behavior of a two-dimensional discrete mosquito model incorporating an Allee effect. We analyze the system's trajectory comprehensively, examining both local and global dynamics. Our analysis…

动力系统 · 数学 2024-07-03 Z. S. Boxonov

Understanding mosquitoes life cycle is of great interest presently because of the increasing impact of vector borne diseases in several countries. There is evidence of oscillations in mosquito populations independent of seasonality, still…

We investigate the bifurcation structure of equilibria in a class of non-autonomous ordinary differential equations governed by a season length parameter, $\tau$, which determines the alternation between growth and decline dynamics. This…

动力系统 · 数学 2025-07-09 Gonzalo Galiano , Julián Velasco

We study a discrete-time dynamical system of wild mosquito population with parameters: $\beta$ - the birth rate of adults; $\alpha$ - maximum emergence rate; $\mu>0$ - the death rate of adults; $\gamma$ - Allee effects. We prove that if…

动力系统 · 数学 2022-10-10 U. A. Rozikov , Z. S. Boxonov
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