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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

Aedes aegypti is a known vector of Dengue, Chikungunya and Zika and the goal of this study is to propose the first mathematical model to describe the dynamic transmission of these three diseases. We present two preliminary models that…

Populations and Evolution · Quantitative Biology 2016-06-28 Raul Isea , Karl E Lonngren

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

We investigate how key epidemiological parameters shape both seasonal epidemics and the persistence of dengue transmission. Our findings confirm known mechanistic drivers of epidemic variability and introduce a ranking of parameter…

Populations and Evolution · Quantitative Biology 2026-05-22 Cesar Alberto Rosales-Alcantar , Marcos A. Capistrán

Dengue is a vector-borne viral disease increasing dramatically over the past years due to improvement in human mobility. The movement of host individuals between and within the patches are captured via a residence-time matrix. A system of…

Populations and Evolution · Quantitative Biology 2018-10-04 Wolfgang Bock , Yashika Jayathunga

Arboviruses represent a significant threat to human, animal, and plant health worldwide. To elucidate transmission, anticipate their spread and efficiently control them, mechanistic modelling has proven its usefulness. However, most models…

Populations and Evolution · Quantitative Biology 2024-08-06 Léa Loisel , Vincent Raquin , Maxime Ratinier , Pauline Ezanno , Gaël Beaunée

In this study, we develop and analyze a deterministic two-strain host-vector model for dengue transmission that incorporates key immuno-epidemiological mechanisms, including temporary cross-immunity, antibody-dependent enhancement (ADE),…

Dynamical Systems · Mathematics 2026-01-13 Burcu Gürbüz , Aytül Gökçe , Joseph Páez Chávez , Thomas Götz

Aedes Aegypti is the vector of several deadly diseases, including Zika. Effective and sustainable vector control measures must be deployed to keep A. aegypti numbers under control. The distribution of A. Aegypti is subject to spatial and…

Populations and Evolution · Quantitative Biology 2016-08-05 Chathika Gunaratne , Mustafa Ilhan Akbas , Ivan Garibay , Ozlem Ozmen

There are economic and physical limitations when applying prevention and control strategies for urban vector borne diseases. Consequently, there are increasing concerns and interest in designing efficient strategies and regulations that…

Populations and Evolution · Quantitative Biology 2017-10-12 Jorge Velázquez-Castro , Andrés Anzo-Hernández , Beatriz Bonilla-Capilla , Moisés Soto-Bajo , Andrés Fraguela-Collar

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

We construct an epidemic model for the transmission of dengue fever with an early-life stage in the vector dynamics and age-structure within hosts. The early-life stage of the vector is modeled via a general function that supports multiple…

Populations and Evolution · Quantitative Biology 2019-10-01 Fabio Sanchez , Juan G. Calvo

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…

This paper is devoted to the study of optimal release strategies to control vector-borne diseases, such as dengue, Zika, chikungunya and malaria. Two techniques are considered: the sterile insect one (SIT), which consists in releasing…

Optimization and Control · Mathematics 2023-07-24 Luis Almeida , Jesús Bellver Arnau , Yannick Privat , Carlota Rebelo

Dengue is a vector-borne disease transmitted to humans by vectors of genus Aedes and is a global threat with health, social, and economic impact in many of the tropical countries including Sri Lanka. The virus transmission is significantly…

Populations and Evolution · Quantitative Biology 2024-01-22 Piumi Chathurangika , Sanjeewa Perera , Kushani De Silva

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

It is possible to model vector-borne infection using the classical Ross-Macdonald model. This attempt, however fails in several respects. First, using measured (or estimated) parameters, the model predicts a much greater number of cases…

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

We present an epidemiological model for vector-borne diseases that includes within-host viral load and antibody dynamics using structured transport equations. By incorporating the internal dynamics into the infected and recovered host…

Analysis of PDEs · Mathematics 2026-05-26 Paulo Amorim , Maria Soledad Aronna , Debora de Oliveira Medeiros

We use a stochastic Markovian dynamics approach to describe the spreading of vector-transmitted diseases, like dengue, and the threshold of the disease. The coexistence space is composed by two structures representing the human and mosquito…

Populations and Evolution · Quantitative Biology 2013-01-01 David R. Souza , Tânia Tomé , Suani T. R. Pinho , Florisneide R. Barreto , Mário J. de Oliveira

Dengue remains a major global public health concern due to its high mortality and economic burden. Mathematical modeling is essential to understand its transmission mechanisms and for evaluating intervention strategies. In this paper, we…

Populations and Evolution · Quantitative Biology 2026-04-28 Sourav Banerjee , Thomas Götz , Satyananda Panda
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