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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…

Optimization and Control · Mathematics 2010-09-23 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

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

A model with six mutually-exclusive compartments related to Dengue disease is presented. In this model there are three vector control tools: insecticides (larvicide and adulticide) and mechanical control. The problem is studied using an…

Optimization and Control · Mathematics 2012-07-10 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

A model with six mutually-exclusive compartments related to dengue is studied. Three vector control tools are considered: insecticides (larvicide and adulticide) and mechanical control. The basic reproduction number associated to the model…

Optimization and Control · Mathematics 2013-11-26 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

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

Dengue is a vector-borne disease and 40% of world population is at risk. Dengue transcends international borders and can be found in tropical and subtropical regions around the world, predominantly in urban and semi-urban areas. A model for…

Populations and Evolution · Quantitative Biology 2016-08-10 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres , Ana Clara Silva , Carla Sousa , Cláudia Conceição

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…

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

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

The first outbreak of dengue occurred in Madeira Island on 2012, featuring one virus serotype. Aedes aegypti was the vector of the disease and it is unlikely that it will be eliminated from the island. Therefore, a new outbreak of dengue…

Populations and Evolution · Quantitative Biology 2015-11-20 Filipa Portugal Rocha , 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

After their re-emergence in the last decades, dengue fever and other vector-borne diseases are a potential threat to the lives of millions of people. Based on a data set of dengue cases in the Brazilian city of Fortaleza, collected from…

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

As the development of a dengue vaccine is ongoing, we simulate an hypothetical vaccine as an extra protection to the population. In a first phase, the vaccination process is studied as a new compartment in the model, and different ways of…

Optimization and Control · Mathematics 2013-11-26 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

Vector-borne epidemics are the result of the combination of different factors such as the crossed contagions between humans and vectors, their demographic distribution and human mobility among others. The current availability of information…

For decades, dengue virus has been a cause of major public health concern in Costa Rica, due to its landscape and climatic conditions that favor the circumstances in which the vector, Aedes aegypti, thrives. The emergence and introduction…

Populations and Evolution · Quantitative Biology 2017-01-18 Fabio Sanchez , Luis A. Barboza , David Burton , Ariel Cintron-Arias

Vector-transmitted diseases such as dengue fever and chikungunya have been spreading rapidly in many parts of the world. The Zika virus has been known since 1947 and invaded South America in 2013. It can be transmitted not only by…

Populations and Evolution · Quantitative Biology 2016-08-23 Fred Brauer , Carlos Castillo-Chavez , Anuj Mubayi , Sherry Towers

Dengue is a viral infection that can produce a severe fever and symptoms that may require hospitalization. It is transmitted between humans by the urban-adapted, day-biting Aedes mosquitoes and is therefore a particular problem in towns and…

Dengue fever is a vector-borne disease mostly endemic to tropical and subtropical countries that affect millions every year and is considered a significant burden for public health. Its geographic distribution makes it highly sensitive to…

Computers and Society · Computer Science 2022-04-05 Luis A. Barboza , Shu-Wei Chou , Paola Vásquez , Yury E. García , Juan G. Calvo , Hugo C. Hidalgo , Fabio Sanchez

According to the World Health Organization, dengue fever is the most important mosquito-borne disease of humans, and it is currently estimated that there may be 50 - 100 million yearly dengue infections worldwide. For the purpose to provide…

Populations and Evolution · Quantitative Biology 2016-08-10 L. S. Barsante , K. S. Paixão , K. H. Laass , R. T. N. Cardoso , Á. E. Eiras , J. L. Acebal
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