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In order to prevent the propagation of human diseases transmitted by mosquitoes (such as dengue or zika), one possible solution is to act directly on the mosquito population. In this work, we consider an invasive species (the mosquitoes)…

Analysis of PDEs · Mathematics 2021-06-22 Luis Almeida , Alexis Leculier , Nicolas Vauchelet

We propose a versatile model with a flexible choice of control for an early-pandemic outbreak prevention when vaccine/drug is not yet available. At that stage, control is often limited to non-medical interventions like social distancing and…

Optimization and Control · Mathematics 2024-06-14 Alexandra Smirnova , Xiaojing Ye

Dengue is one of the major international public health concerns. Although progress is underway, developing a vaccine against the disease is challenging. Thus, the main approach to fight the disease is vector control. A model for the…

Optimization and Control · Mathematics 2015-03-19 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres , Alan Zinober

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…

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…

Optimization and Control · Mathematics 2016-10-18 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

Arboviral diseases remain a major public health concern, particularly in tropical and subtropical regions where mosquito populations thrive. One promising strategy to curb transmission is the release of Aedes aegypti mosquitoes infected…

Populations and Evolution · Quantitative Biology 2025-03-18 Daniela Florez , Ricardo Cortez , James M. Hyman , Zhuolin Qu

Aedes aegypti is known as the responsible vector transmitting dengue flavivirus. Unavailability of medication to cure the transmission of the virus in the human blood becomes a global health issue in recent decades. World epidemiologists…

Populations and Evolution · Quantitative Biology 2017-12-04 Karunia Putra Wijaya , Thomas Goetz , Edy Soewono

OBJECTIVE: To propose a new approach to analyze the age-distribution of reported cases for vector-transmitted infections. METHODS: Using officially reported number of cases of dengue, Zika, chikungunya, malaria and leishmaniasis for…

Populations and Evolution · Quantitative Biology 2026-03-18 Francisco Antonio Bezerra Coutinho , Marcos Amaku , Esper Georges Kallas , Eduardo Massad

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

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

We develop and analyze an ordinary differential equation model to assess the potential effectiveness of infecting mosquitoes with the Wolbachia bacteria to control the ongoing mosquito-borne epidemics, such as dengue fever, chikungunya, and…

Populations and Evolution · Quantitative Biology 2020-08-14 Zhuolin Qu , Ling Xue , James M. Hyman

During the last decades, the global prevalence of dengue progressed dramatically. It is a disease which is now endemic in more than one hundred countries of Africa, America, Asia and the Western Pacific. This study addresses a mathematical…

Insect-borne diseases are diseases carried by insects affecting humans, animals or plants. They have the potential to generate massive outbreaks such as the Zika epidemic in 2015-2016 mostly distributed in the Americas, the Pacific and…

Analysis of PDEs · Mathematics 2020-02-19 Olivier Martin , Yasmil Fernandez-Diclo , Jerome Coville , Samuel Soubeyrand

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…

The incidence of Dengue epidemiologic disease has grown in recent decades. In this paper an application of optimal control in Dengue epidemics is presented. The mathematical model includes the dynamic of Dengue mosquito, the affected…

Optimization and Control · Mathematics 2010-09-03 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

Dengue continues to pose a major global threat, infecting nearly 390 million people annually. Recognizing the pivotal role of vector competence (vc), recent research focuses on mosquito parameters to inform transmission modeling and vector…

Populations and Evolution · Quantitative Biology 2025-11-07 Piyumi Chathurangika , Tharushika Peiris , Lakmini S. Premadasa , S. S. N. Perera , Kushani De Silva

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…

Populations and Evolution · Quantitative Biology 2019-08-28 Sylvestre Aureliano Carvalho , Stella Olívia da Silva , Iraziet da Cunha Charret

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…

Dynamical Systems · Mathematics 2025-09-23 Ruqaya Hussein , Sergey Kryzhevich , Khosro Tajbakhsh

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 (adulticide spray) in order to combat the…

Optimization and Control · Mathematics 2010-07-01 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres , Alan Zinober

We introduce a dengue model (SEIR) where the human individuals are treated on an individual basis (IBM) while the mosquito population, produced by an independent model, is treated by compartments (SEI). We study the spread of epidemics by…

Populations and Evolution · Quantitative Biology 2015-03-17 Marcelo J Otero , Daniel H Barmak , Claudio O Dorso , Hernán G Solari , Mario A Natiello