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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 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 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

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

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

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

We introduce a stochastic household model for vector-borne diseases, in particular as relevant to prominent vectors belonging to the Aedes genus and hence the Zika, chikungunya, and dengue viruses. In this model, vectors remain local to…

Populations and Evolution · Quantitative Biology 2022-03-01 Andrew Black , Andrew Smith , Alun Lloyd , Joshua Ross

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

Dengue fever poses a persistent public health challenge in rapidly urbanizing Indian cities such as Ahmedabad, where spatial heterogeneity and seasonal variability complicate forecasting and control. In this study, we develop a data-driven…

Populations and Evolution · Quantitative Biology 2026-05-19 Sourav Roy , Rajendra Gadhavi , Bhavin Solanki , Chirag Shah , Raj C. Sharma , Indrajit Ghosh

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

Infection by distinct Dengue virus serotypes and host immunity are intricately linked. In particular, certain levels of cross-reactive antibodies in the host may actually enhance infection severity leading to Dengue hemorrhagic fever (DHF).…

Populations and Evolution · Quantitative Biology 2019-12-19 Hayriye Gulbudak , Cameron J. Browne

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

Dengue is a vector borne infectious disease. The disease is transmitted byAedes mosquitoes. In the present work, SEIR - SEI compartmental epidemiological model is used to describe dengue disease transmission dynamics. The human population…

Populations and Evolution · Quantitative Biology 2025-01-30 Ganga Ram Phaijoo , Dil Bahadur Gurung

In the last two decades dengue cases increased significantly throughout the world. In several regions dengue re-emerged, particularly in Latin America, where dengue cases not only increased but also occurred more frequently. It is therefore…

Populations and Evolution · Quantitative Biology 2022-04-12 Javier Armando Gutierrez , Karina Laneri , Juan Pablo Aparicio , Gustavo Javier Sibona

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…

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…

A two-patch mathematical model of Dengue virus type 2 (DENV-2) that accounts for vectors' vertical transmission and between patches human dispersal is introduced. Dispersal is modeled via a Lagrangian approach. A host-patch residence-times…

Populations and Evolution · Quantitative Biology 2016-01-26 Derdei Bichara , Susan A. Holechek , Jorge Velazquez-Castro , Anarina L. Murillo , Carlos Castillo-Chavez

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…

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

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
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