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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…

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

Dengue, a mosquito-borne viral disease common in tropical areas, is spread by Aedes aegypti and Aedes albopictus. Temperature changes driven by climate affect vector ecology and expand regions of species coexistence. The combined effect of…

Populations and Evolution · Quantitative Biology 2025-09-16 Santiago Andrés Villamil Chacón , Mauricio Santos-Vega

Dengue control in India is a challenging task due to complex healthcare settings. In yesteryears, an amplification of dengue infections in India posed the need for introspection of existing dengue control policies. Prior understanding of…

Populations and Evolution · Quantitative Biology 2021-06-29 Indrajit Ghosh , Pankaj Kumar Tiwari , Joydev Chattopadhyay

We investigate a discrete-time two-strain symbiotic epidemic model on complex networks with both random and long-range interactions. Our analysis examines how the co-infection recovery rate ($\mu$), the long-range decay exponent ($\alpha$),…

Physics and Society · Physics 2025-09-23 Frank Namugera

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

An age structured mathematical model with time dependent parameters is developed to investigate the dynamics of dengue transmission. Its properties are thoroughly analyzed in the first part of this work, as for example its disease free…

Populations and Evolution · Quantitative Biology 2025-11-21 Ihtisham Ul Haq , Serge Richard

Dengue virus transmission models commonly assume an exponential distribution for the mosquito extrinsic incubation period (EIP), potentially oversimplifying biological variability. We developed a stochastic mechanistic dengue transmission…

Populations and Evolution · Quantitative Biology 2026-04-29 Léa Loisel , Sandie Arnoux , Gaël Beaunée , Pauline Ezanno

We propose an epidemic model for the spread of vector-borne diseases. The model, which is built extending the classical susceptible-infected-susceptible model, accounts for two populations -- humans and vectors -- and for cross-contagion…

Systems and Control · Electrical Eng. & Systems 2025-10-21 Lorenzo Zino , Alessandro Casu , Alessandro Rizzo

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

Dengue viral infections show unique infection patterns arising from its four serot- ypes, (DENV-1,2,3,4). Its effects range from simple fever in primary infections to potentially fatal secondary infections. We analytically and numerically…

Adaptation and Self-Organizing Systems · Physics 2013-06-12 Tanvi P. Gujarati , G. Ambika

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

Different extensions of the classical single-strain SIR model for the host population, motivated by modeling dengue fever epidemiology, have reported a rich dynamic structure including deterministic chaos which was able to explain the large…

Chaotic Dynamics · Physics 2011-11-28 Maíra Aguiar , Bob W. Kooi , Nico Stollenwerk

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…

In this work we explore the effects of human mobility on the dispersion of a vector borne disease. We combine an already presented stochastic model for dengue with a simple representation of the daily motion of humans on a schematic city of…

Populations and Evolution · Quantitative Biology 2015-05-27 Daniel H Barmak , Claudio O Dorso , Marcelo Otero , Hernán G Solari

We study a mosquito-borne epidemic model where the vector population is distinct in aquatic and adult stages and a saturating effect of disease transmission is assumed to ocurr when the number of infectious (humans and mosquitoes) becomes…

Populations and Evolution · Quantitative Biology 2014-02-10 E. Avila-Vales , B. Buonomo , N. Chan-Chi

Transmission rates are key in understanding the spread of infectious diseases. Using the framework of compartmental models, we introduce a simple method that enables us to reconstruct time series of transmission rates directly from…

Quantitative Methods · Quantitative Biology 2016-05-06 Alexander Lange

We present an application of optimal control theory to Dengue epidemics. This epidemiologic disease is an important theme in tropical countries due to the growing number of infected individuals. The dynamic model is described by a set of…

Optimization and Control · Mathematics 2010-08-27 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

Dengue fever is increasing in geographical range, spread by invasion of its vector mosquitoes. The trade in second-hand tires has been implicated as a factor in this process as they act as mobile reservoirs of mosquito eggs and larvae.…

Populations and Evolution · Quantitative Biology 2017-01-23 Emilene Pliego Pliego , Jorge Velázquez-Castro , Markus P. Eichhorn , Andrés Fraguela Collar

Urbanization drives the epidemiology of infectious diseases to many threats and new challenges. In this research, we study the interplay between human mobility and dengue outbreaks in the complex urban environment of the city-state of…

Populations and Evolution · Quantitative Biology 2019-10-09 Emanuele Massaro , Daniel Kondor , Carlo Ratti