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In this work we propose a model that represents the relation between fish ponds, the mosquito population and the transmission of malaria. It has been observed that in the Amazonic region of Acre, in the North of Brazil, fish farming is…

Populations and Evolution · Quantitative Biology 2023-04-27 Felipe J. P. Antunes , M. Soledad Aronna , Cláudia T. Codeço

We consider interacting population systems of predator-prey type, presenting four models of control strategies for epidemics among the prey. In particular to contain the transmissible disease, safety niches are considered, assuming they…

Populations and Evolution · Quantitative Biology 2014-03-04 Iulia Martina Bulai , Roberto Cavoretto , Bruna Chialva , Davide Duma , Ezio Venturino

We investigate a model for a mosquito-borne epidemic in which human hosts may adopt protective behaviour against vector bites in response to information on both past and current disease prevalence. Assuming that mosquitoes can also feed on…

Populations and Evolution · Quantitative Biology 2026-05-08 Simone De Reggi , Andrea Pugliese , Mattia Sensi , Cinzia Soresina

Compartmental epidemic models have been widely used for predicting the course of epidemics, from estimating the basic reproduction number to guiding intervention policies. Studies commonly acknowledge these models' assumptions but less…

Populations and Evolution · Quantitative Biology 2022-11-23 Alexander F. Siegenfeld , Pratyush K. Kollepara , Yaneer Bar-Yam

Background: Studies have shown that human mobility is an important factor in dengue epidemiology. Changes in mobility resulting from COVID-19 pandemic set up a real-life situation to test this hypothesis. Our objective was to evaluate the…

In this paper, we propose studying the disease spread mechanism in the atmosphere as an engineering problem. Aerosol transmission is the most significant mode among the viral transmission mechanisms that do not include physical contact,…

Signal Processing · Electrical Eng. & Systems 2020-05-06 Maryam Khalid , Osama Amin , Sajid Ahmed , Basem Shihada , Mohamed-Slim Alouini

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

We consider a controlled reaction-diffusion equation, motivated by a pest eradication problem. Our goal is to derive a simpler model, describing the controlled evolution of a contaminated set. In this direction, the first part of the paper…

Optimization and Control · Mathematics 2021-08-24 Alberto Bressan , Maria Teresa Chiri , Najmeh Salehi

In this paper we propose two nonlinear models for the control of anthracnose disease. The first is an ordinary differential equation (ODE) model which represents the within-host evolution of the disease. The second includes spatial…

Optimization and Control · Mathematics 2014-06-17 David Fotsa , Elvis Houpa , David Békollé , Christopher Thron , Michel Ndoumbé

Controlling pest insects is a challenge of main importance to preserve crop production. In the context of Integrated Pest Management (IPM) programs, we develop a generic model to study the impact of mating disruption control using an…

Dynamical Systems · Mathematics 2018-02-20 Roumen Anguelov , Claire Dufourd , Yves Dumont

Monitoring the spread of disease-carrying mosquitoes is a first and necessary step to control severe diseases such as dengue, chikungunya, Zika or yellow fever. Previous citizen science projects have been able to obtain large image datasets…

Computer Vision and Pattern Recognition · Computer Science 2021-11-01 Gereziher Adhane , Mohammad Mahdi Dehshibi , David Masip

In this work, two mathematical models for malaria under resistance are presented. More precisely, the first model shows the interaction between humans and mosquitoes inside a patch under infection of malaria when the human population is…

Populations and Evolution · Quantitative Biology 2020-02-04 Cristhian Montoya , Jhoana P. Romero-Leiton

In this paper, we propose a sex-structured entomological model that serves as a basis for design of control strategies relying on releases of sterile male mosquitoes (Aedes spp) and aiming at elimination of the wild vector population in…

Optimization and Control · Mathematics 2020-10-02 Pierre-Alexandre Bliman , Daiver Cardona-Salgado , Yves Dumont , Olga Vasilieva

In face of climate change and increasing urbanization, the predictive mosquito-borne diseases (MBD) transmission models require constant updates. Thus, is urgent to comprehend the driving forces of this non stationary behavior, observed…

Quantitative Methods · Quantitative Biology 2024-11-22 Marcio Maciel Bastos , Luiz Max Carvalho , Eduardo Correa Araujo , Flávio Codeço Coelho

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

Infectious disease forecasting is of great interest to the public health community and policymakers, since forecasts can provide insight into disease dynamics in the near future and inform interventions. Due to delays in case reporting,…

Methodology · Statistics 2022-10-12 Lauren J Beesley , Dave Osthus , Sara Y Del Valle

Discrete and Continuous Dynamics is the first in a series of articles on Network Models for Epidemiology. This project began in the Fall quarter of 2014 in my continuous modeling course. Since then, it has taken off and turned into a series…

Populations and Evolution · Quantitative Biology 2015-11-04 Edward Rusu

Reliable and timely dengue predictions provide actionable lead time for targeted vector control and clinical preparedness, reducing preventable diseases and health-system costs in at-risk communities. Dengue forecasting often relies on…

Applications · Statistics 2025-12-01 Saman Hosseini , Lee W. Cohnstaedt , Caterina Scoglio

Deterministic models are developed for the spatial spread of epidemic diseases in geographical settings. The models are focused on outbreaks that arise from a small number of infected hosts imported into sub-regions of the geographical…

Populations and Evolution · Quantitative Biology 2018-01-08 Pierre Magal , Glenn F. Webb , Yixiang Wu

In the Staged Progression (SP) epidemic models, infected individuals are classified into a suitable number of states. The goal of these models is to describe as closely as possible the effect of differences in infectiousness exhibited by…

Dynamical Systems · Mathematics 2024-02-08 Luis Sanz-Lorenzo , Rafael Bravo de la Parra