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Related papers: Sensitivity Analysis of SEIR SEI Model of Dengue D…

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Epidemiological models may give some basic guidelines for public health practitioners, allowing to analyze issues that can influence the strategies to prevent and fight a disease. To be used in decision-making, however, a mathematical model…

Populations and Evolution · Quantitative Biology 2013-08-15 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

We propose an SEIR model for the populations and an SEI model for the vector to describe the transmission dynamics of a four-strain model with both primary and secondary dengue infections. In order to accomplish this, we propose and obtain…

Populations and Evolution · Quantitative Biology 2014-06-18 Raul Isea

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

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

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

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

Dengue is a vector borne disease transmitted to humans by {\it{Aedes Aegypti}} mosquitoes carrying Dengue virus of different serotypes. Primarily an urban epidemic, Dengue exhibits complex spatial and temporal dynamics, influenced by many…

Populations and Evolution · Quantitative Biology 2015-04-30 Murali Krishna Enduri , Shivakumar Jolad

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

In this paper we propose some mathematical models for the transmission of dengue using a system of reaction-diffusion equations. The mosquitoes are divided into infected, uninfected and aquatic subpopulations, while the humans, which are…

Analysis of PDEs · Mathematics 2018-11-21 Felipo Bacani , Stylianos Dimas , Igor Leite Freire , Norberto Anibal Maidana , Mariano Torrisi

Dengue is a vector-borne disease transmitted by Aedes mosquitoes. The worldwide spread of these mosquitoes and the increasing disease burden have emphasized the need for a spatio-temporal risk map capable of assessing dengue outbreak…

Applications · Statistics 2023-10-11 Aram Vajdi , Lee W. Cohnstaedt , Caterina M. Scoglio

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

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

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

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

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

As offered by the World Health Organisation (WHO), close to half of the population in the world's resides in dengue-risk zones. Dengue viruses are transmitted to individuals by Aedes mosquito species infected bite (Ae. Albopictus of Ae.…

Populations and Evolution · Quantitative Biology 2025-03-12 Burcu Gürbüz , Aytül Gökçe , Segun I. Oke , Michael O. Adeniyi , Mayowa M. Ojo

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

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

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…

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
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