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We present a SIR+ASI epidemic model to describe the interaction between human and dengue fever mosquito populations. A control strategy in the form of vaccination, to decrease the number of infected individuals, is used. An optimal control…

最优化与控制 · 数学 2011-09-19 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

Dengue is one of the most important infectious diseases in the world, in terms of death and economic cost. Hence, the modeling of dengue is of great importance to help us understand the dynamics disease, and interfering with its spreading…

种群与进化 · 定量生物学 2019-08-28 Sylvestre Aureliano Carvalho , Stella Olívia da Silva , Iraziet da Cunha Charret

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…

偏微分方程分析 · 数学 2020-04-07 Luis Almeida , Jesús Bellver , Michel Duprez , Yannick Privat

Every year, the Aedes aegypti mosquito infects millions of people with diseases such as dengue, zika, chikungunya, and urban yellow fever. The main form to combat these diseases is to avoid mosquito reproduction by searching for and…

计算机视觉与模式识别 · 计算机科学 2021-11-30 Wesley L. Passos , Gabriel M. Araujo , Amaro A. de Lima , Sergio L. Netto , Eduardo A. B. da Silva

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.…

机器学习 · 计算机科学 2024-01-30 Javier Aira , Teresa Olivares Montes , Francisco M. Delicado , Darìo Vezzani

We present an application of optimal control theory to Dengue epidemics. This epidemiologic disease is an important theme in tropical countries due to the growing number of infected individuals. The dynamic model is described by a set of…

最优化与控制 · 数学 2010-08-27 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

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…

动力系统 · 数学 2026-05-13 Aram Vajdi , Lee W. Cohnstaedt , Caterina M. Scoglio , Heman Shakeri

Mosquitoes are vectors of many human diseases. In particular, Aedes \ae gypti (Linnaeus) is the main vector for Chikungunya, Dengue, and Zika viruses in Latin America and it represents a global threat. Public health policies that aim at…

机器学习 · 统计学 2018-05-08 J. M. Scavuzzo , F. Trucco , M. Espinosa , C. B. Tauro , M. Abril , C. M. Scavuzzo , A. C. Frery

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…

动力系统 · 数学 2025-09-09 Rodrigo Fernández-Martínez , Alfonso Ruiz-Herrera

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

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…

动力系统 · 数学 2018-02-20 Roumen Anguelov , Claire Dufourd , Yves Dumont

The control of the spread of dengue fever by introduction of the intracellular parasitic bacterium Wolbachia in populations of the vector Aedes aegypti, is presently one of the most promising tools for eliminating dengue, in the absence of…

Dengue is a vector-borne disease transmitted from an infected human to an Aedes mosquito, during a blood-meal. Dengue is still a major public health problem. A model for the disease transmission is presented, composed by human and…

最优化与控制 · 数学 2016-10-18 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

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…

种群与进化 · 定量生物学 2022-03-01 Andrew Black , Andrew Smith , Alun Lloyd , Joshua Ross

The release of Wolbachia-infected mosquitoes into Aedes aegypti infested areas is a promising strategy for localised eradication of dengue infection. Ae aegypti mosquitoes favour urban environments as breeding habitats, so are often found…

种群与进化 · 定量生物学 2025-08-01 Abby Barlow , Ben Adams

In the system we study, 1's and 0's represent occupied and vacant sites in the contact process with births at rate $\lambda$ and deaths at rate 1. $-1$'s are sterile individuals that do not reproduce but appear spontaneously on vacant sites…

概率论 · 数学 2021-08-13 Xiangying Huang , Rick Durrett

A model for the transmission of dengue disease is presented. It consists of eight mutually-exclusive compartments representing the human and vector dynamics. It also includes a control parameter (insecticide) in order to fight the…

最优化与控制 · 数学 2010-09-23 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

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,…

最优化与控制 · 数学 2025-03-11 Luis Almeida , Jesús Bellver Arnau , Gwenaël Peltier , Nicolas Vauchelet

In this paper we present a model to estimate the density of aedes mosquitoes in a community affected by dengue. The model is based on the fitting of a continuous function to the incidence of dengue infections, from which the density of…

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…

偏微分方程分析 · 数学 2017-07-31 Martin Strugarek , Nicolas Vauchelet , Jorge Zubelli