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We propose and analyze a nonlinear age-structured multi-species model that serves as a unifying framework for ecological and biotechnological systems in complex environments (microbial communities, bioreactors, and others). The formulation…

偏微分方程分析 · 数学 2025-09-23 Marius Bargo , Yacouba Simpore

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

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…

种群与进化 · 定量生物学 2023-06-28 Jean Claude Kamgang , Christopher Thron

This paper proposes and analyzes a malaria transmission model structured by the chronological age of the human host population. The model couples an age-structured SIRS system for humans, incorporating waning immunity, with an SI system for…

偏微分方程分析 · 数学 2026-03-17 Seraphin Djaoue , Quentin Richard , Antoine Perasso , Irépran Damakoa

Malaria is one of the most common mosquito-borne diseases widespread in tropical and subtropical regions, causing thousands of deaths every year in the world. In a previous paper, we formulated an age-structured model containing three…

种群与进化 · 定量生物学 2024-05-24 Quentin Richard , Marc Choisy , Ramsès Djidjou-Demasse , Thierry Lefèvre

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

In this work we propose a model that represents the relation between fish ponds, the mosquito population and the transmission of malaria. It has been observed that in the Amazonic region of Acre, in the North of Brazil, fish farming is…

种群与进化 · 定量生物学 2023-04-27 Felipe J. P. Antunes , M. Soledad Aronna , Cláudia T. Codeço

The assumption that vector mortality remains constant with age is used widely to assess malaria transmission risk and predict the public health consequences of vector control strategies. However, laboratory studies commonly demonstrate…

种群与进化 · 定量生物学 2015-10-01 Sadie J. Ryan , Tal Ben-Horin , Leah R. Johnson

We study a mosquito-borne epidemic model where the vector population is distinct in aquatic and adult stages and a saturating effect of disease transmission is assumed to ocurr when the number of infectious (humans and mosquitoes) becomes…

种群与进化 · 定量生物学 2014-02-10 E. Avila-Vales , B. Buonomo , N. Chan-Chi

In this paper, we study an age-structured model which has strong biological background about mosquito plasticity. Firstly, we prove the existence of solutions and the comparison principle for a generalized system. Then, we prove the…

偏微分方程分析 · 数学 2018-04-26 Lin Lin Li , Cláudia Pio Ferreira , Bedreddine Ainseba

We prove global stabilization of the marine riser models using a feedback controller that depend on finitely many finite-volume elements and finitely many nodal observables. Our approach is based on a feedback control design for dissipative…

最优化与控制 · 数学 2026-03-03 V. K. Kalantarov , A. A. Namazov , E. S. Titi

In this work, two mathematical models for malaria under resistance are presented. More precisely, the first model shows the interaction between humans and mosquitoes inside a patch under infection of malaria when the human population is…

种群与进化 · 定量生物学 2020-02-04 Cristhian Montoya , Jhoana P. Romero-Leiton

In contrast to the many theoretical studies on the transmission of human-mosquitoes malaria infection, few studies have considered a multiple structure model formulations including (i) the chronological age of humans and mosquitoes…

偏微分方程分析 · 数学 2021-01-01 Quentin Richard , Marc Choisy , Thierry Lefèvre , Ramsès Djidjou-Demasse

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

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

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

This paper presents an age structured problem modelling mosquito blood-feeding plasticity in a natural environment. We first investigate the analytical asymptotic solution through studying the spectrum of an operator $\mathbb{A}$ which is…

偏微分方程分析 · 数学 2018-04-26 Lin Lin Li , Cláudia Pio Ferreira , Bedreddine Ainseba

We investigate a model for a mosquito-borne epidemic in which human hosts may adopt protective behaviour against vector bites in response to information on both past and current disease prevalence. Assuming that mosquitoes can also feed on…

种群与进化 · 定量生物学 2026-05-08 Simone De Reggi , Andrea Pugliese , Mattia Sensi , Cinzia Soresina

A malaria model is formulated which includes the enhanced attractiveness of infectious humans to mosquitoes, as result of host manipulation by malaria parasite, and the human behavior, represented by insecticide-treated bed nets usage. The…

经典分析与常微分方程 · 数学 2013-11-14 Bruno Buonomo
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