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Related papers: Viable Control of an Epidemiological Model

200 papers

This paper is devoted to the study of optimal release strategies to control vector-borne diseases, such as dengue, Zika, chikungunya and malaria. Two techniques are considered: the sterile insect one (SIT), which consists in releasing…

Optimization and Control · Mathematics 2023-07-24 Luis Almeida , Jesús Bellver Arnau , Yannick Privat , Carlota Rebelo

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

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

Recent mosquito-borne outbreaks have revealed vulnerabilities in our abatement programmes, raising concerns about how abatement-districts should choose optimal future control strategies. Spatial dissemination of vector-borne disease is…

Populations and Evolution · Quantitative Biology 2025-12-10 Suman Bhowmick , Patrick Irwin , Kristina Lopez , Megan Lindsay Fritz , Rebecca Lee Smith

Vector control is critical to limit the circulation of vector-borne diseases like chikungunya, dengue or zika which have become important issues around the world. Among them the Sterile Insect Technique (SIT) and the Incompatible Insect…

Dynamical Systems · Mathematics 2018-05-28 Martin Strugarek , Herve Bossin , Yves Dumont

Mosquitoes are vectors of many human diseases. In particular, Aedes \ae gypti (Linnaeus) is the main vector for Chikungunya, Dengue, and Zika viruses in Latin America and it represents a global threat. Public health policies that aim at…

Machine Learning · Statistics 2018-05-08 J. M. Scavuzzo , F. Trucco , M. Espinosa , C. B. Tauro , M. Abril , C. M. Scavuzzo , A. C. Frery

In this article, we consider a simplified model of time dynamics for a mosquito population subject to the artificial introduction of {\itshape Wolbachia}-infected mosquitoes, in order to fight arboviruses transmission.Indeed, it has been…

Analysis of PDEs · Mathematics 2019-09-09 Luís Almeida , Yannick Privat , Martin Strugarek , Nicolas Vauchelet

In 2009, for the first time in Cape Verde, an outbreak of dengue was reported and over twenty thousand people were infected. Only a few prophylactic measures were taken. The effects of vector control on disease spreading, such as…

Optimization and Control · Mathematics 2013-10-03 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

Vector/Pest control is essential to reduce the risk of vector-borne diseases or losses in crop fields. Among biological control tools, the sterile insect technique (SIT), is the most promising one. SIT control generally consists of massive…

Dynamical Systems · Mathematics 2020-12-30 R. Anguelov , Y. Dumont , V. Yatat

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

Efficient testing and vaccination protocols are critical aspects of epidemic management. To study the optimal allocation of limited testing and vaccination resources in a heterogeneous contact network of interacting susceptible, recovered,…

Populations and Evolution · Quantitative Biology 2026-05-12 Mingtao Xia , Lucas Böttcher , Tom Chou

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

Even as the incidence of mosquito-borne diseases like West Nile Virus (WNV) in North America has risen over the past decade, effectively modelling mosquito population density or, the abundance has proven to be a persistent challenge. It is…

Populations and Evolution · Quantitative Biology 2024-09-19 Suman Bhowmick , Patrick Irwin , Kristina Lopez , Megan Lindsay Fritz , Rebecca Lee Smith

We propose a compartmental model for vector-transmitted diseases, such as Malaria and Dengue, spreading over complex networks. Individuals are represented by independent random walkers and vectors by infected nodes. Both walkers and nodes…

Populations and Evolution · Quantitative Biology 2025-05-05 Téo Granger , Thomas M. Michelitsch , Bernard A. Collet , Michael Bestehorn , Alejandro P. Riascos

Balancing the societal costs of non-pharmaceutical interventions with epidemic suppression requires adaptive feedback control. Rather than relying on state-dependent operational caps, we formulate an infinite-horizon optimal control problem…

Optimization and Control · Mathematics 2026-05-26 Mahtab Talaei , Alex Olshevsky , Laura F. White , Ioannis Ch. Paschalidis

Dengue, which affects millions of people each year, is one of the most common diseases transmitted by infected \textit{Aedes aegypti} mosquitoes. In the Philippines, the annual economic cost of dengue infections is estimated at around PHP…

Optimization and Control · Mathematics 2026-01-19 Kyrho Corum , Renier Mendoza , Victoria May P. Mendoza , Arrianne Crystal Velasco

Vector control plays a central role in the fight against vector-borne diseases and, in particular, arboviruses. The use of the endosymbiotic bacterium Wolbachia has proven effective in preventing the transmission of some of these viruses…

Analysis of PDEs · Mathematics 2020-04-07 Luis Almeida , Jesús Bellver , Michel Duprez , Yannick Privat

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

We propose and analyze an epidemiological model for vector borne diseases that integrates a multi-stage vector population and several host sub-populations which may be characterized by a variety of compartmental model types: subpopulations…

Populations and Evolution · Quantitative Biology 2023-06-28 Francis G. T. Kamba , Leonard C. Eze , Jean Claude Kamgang , Christopher P. Thron

It is preliminarily known that Aedes mosquitoes are very close to humans and their dwellings, also give rises to a broad spectrum of diseases: dengue, yellow fever, chikungunya. In this paper, we explore a multi-age-class model for mosquito…

Optimization and Control · Mathematics 2017-12-04 Karunia Putra Wijaya , Thomas Goetz , Edy Soewono