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The transmission of vector infectious diseases, which produces complex spatiotemporal patterns, is analyzed by a periodically forced two-dimensional cellular automata model. The system, which comprises three population levels, is introduced…

Cellular Automata and Lattice Gases · Physics 2008-10-03 L. B. L. Santos , M. C. Costa , S. T. R. Pinho , R. F. S. Andrade , F. R. Barreto , M. G. Teixeira , M. L. Barreto

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

Medical statistics reveal a significant dependence of hospitalized dengue patient on the patient's age. To incorporate an age-dependence into a mathematical model, we extend the classical ODE system of disease dynamics to a PDE system. The…

Populations and Evolution · Quantitative Biology 2019-08-27 N. C. Ganegoda , T. Götz , K. P. Wijaya

Predicting whether to expect a high incidence of infectious diseases is critical for health surveillance. In the epidemiology of dengue, environmental conditions can significantly impact the transmission of the virus. Utilizing…

Quantitative Methods · Quantitative Biology 2025-01-23 Daniel A. M. Villela

According to the World Health Organization the global incidence rate of dengue infections have risen drastically in recent years. It is estimated that globally the number of new infections is in the range of $100$ to $400$ million per…

Populations and Evolution · Quantitative Biology 2021-11-09 Jozsef Z. Farkas , Stephen A. Gourley , Rongsong Liu

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…

Predicting an infectious disease can help reduce its impact by advising public health interventions and personal preventive measures. Novel data streams, such as Internet and social media data, have recently been reported to benefit…

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

Local climate conditions play a major role in the development of the mosquito population responsible for transmitting Dengue Fever. Since the {\em Aedes Aegypti} mosquito is also a primary vector for the recent Zika and Chikungunya…

Quantitative Methods · Quantitative Biology 2017-01-03 Lucas Stolerman , Pedro Maia , J. Nathan Kutz

Dengue transmission is rapidly expanding beyond its historical tropical range, raising concerns about how climate change may alter the collective dynamics of epidemics. While most studies focus on transmission risk, much less is known about…

Physics and Society · Physics 2026-05-11 Enrique C. Gabrick , Antonio M. Batista , Iberê L. Caldas , Jürgen Kurths , Maíra Aguiar

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 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 remains one of Brazil's major epidemiological challenges, marked by strong intra-urban inequalities and the influence of climatic and socio-environmental factors. This study analyzed confirmed dengue cases in Recife from 2015 to 2024…

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

The influence of climate on mosquito-borne diseases like dengue and chikungunya is well-established, but comprehensively tracking long-term spatial and temporal trends across large areas has been hindered by fragmented data and limited…

Understanding epidemic dynamics in urban environments requires models that capture interactions across space and time while incorporating biological constraints. In this work, we propose a probabilistic spatiotemporal framework based on…

Populations and Evolution · Quantitative Biology 2026-04-15 Marcílio Ferreira dos Santos , Cleiton de Lima Ricardo

Age at infection is often an important factor in epidemic dynamics. In this paper a disease transmission model of SIS type with age dependent infection on a heterogeneous network is discussed. The model allows the infectious rate and the…

Dynamical Systems · Mathematics 2018-06-19 Shanshan Chen , Michael Small , Yizhou Tao , Xinchu Fu

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

Dengue virus has caused major problems for public health officials for decades in tropical and subtropical countries. We construct a compartmental model that includes the risk of hospitalization and its impact on public health policies. The…

Populations and Evolution · Quantitative Biology 2019-08-09 Fabio Sanchez , Jorge Arroyo-Esquivel , Paola Vasquez

We investigate the spatial organization of dengue cases in the city of Recife, Brazil, from 2015 to 2024, using tools from statistical physics and topological data analysis. Reported cases are modeled as point clouds in a metric space, and…

Populations and Evolution · Quantitative Biology 2026-02-18 Marcílio Ferreira dos Santos , Cleiton de Lima Ricardo
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