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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…

种群与进化 · 定量生物学 2019-08-09 Fabio Sanchez , Jorge Arroyo-Esquivel , Paola Vasquez

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.…

种群与进化 · 定量生物学 2025-03-12 Burcu Gürbüz , Aytül Gökçe , Segun I. Oke , Michael O. Adeniyi , Mayowa M. Ojo

We propose an SEIR model for the populations and an SEI model for the vector to describe the transmission dynamics of a four-strain model with both primary and secondary dengue infections. In order to accomplish this, we propose and obtain…

种群与进化 · 定量生物学 2014-06-18 Raul Isea

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…

偏微分方程分析 · 数学 2018-11-21 Felipo Bacani , Stylianos Dimas , Igor Leite Freire , Norberto Anibal Maidana , Mariano Torrisi

As the development of a dengue vaccine is ongoing, we simulate an hypothetical vaccine as an extra protection to the population. In a first phase, the vaccination process is studied as a new compartment in the model, and different ways of…

最优化与控制 · 数学 2013-11-26 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

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…

种群与进化 · 定量生物学 2022-03-01 Andrew Black , Andrew Smith , Alun Lloyd , Joshua Ross

According to the World Health Organization, dengue fever is the most important mosquito-borne disease of humans, and it is currently estimated that there may be 50 - 100 million yearly dengue infections worldwide. For the purpose to provide…

种群与进化 · 定量生物学 2016-08-10 L. S. Barsante , K. S. Paixão , K. H. Laass , R. T. N. Cardoso , Á. E. Eiras , J. L. Acebal

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…

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…

种群与进化 · 定量生物学 2021-11-09 Jozsef Z. Farkas , Stephen A. Gourley , Rongsong Liu

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…

种群与进化 · 定量生物学 2019-08-27 N. C. Ganegoda , T. Götz , K. P. Wijaya

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…

The resurgence of vector-borne diseases is an increasing public health concern, and there is a need for a better understanding of their dynamics. For a number of diseases, e.g. dengue and chikungunya, this resurgence occurs mostly in urban…

种群与进化 · 定量生物学 2017-04-14 Abderrahman Iggidr , Gauthier Sallet , Max O. Souza

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…

种群与进化 · 定量生物学 2015-05-27 Daniel H Barmak , Claudio O Dorso , Marcelo Otero , Hernán G Solari

A model for the transmission of dengue disease is presented. It consists of eight mutually-exclusive compartments representing the human and vector dynamics. It also includes a control parameter (insecticide) in order to fight the…

最优化与控制 · 数学 2010-09-23 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

Dengue is a vector-borne disease transmitted to humans by vectors of genus Aedes and is a global threat with health, social, and economic impact in many of the tropical countries including Sri Lanka. The virus transmission is significantly…

种群与进化 · 定量生物学 2024-01-22 Piumi Chathurangika , Sanjeewa Perera , Kushani De Silva

Vector-transmitted diseases such as dengue fever and chikungunya have been spreading rapidly in many parts of the world. The Zika virus has been known since 1947 and invaded South America in 2013. It can be transmitted not only by…

种群与进化 · 定量生物学 2016-08-23 Fred Brauer , Carlos Castillo-Chavez , Anuj Mubayi , Sherry Towers

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…

种群与进化 · 定量生物学 2025-05-05 Téo Granger , Thomas M. Michelitsch , Bernard A. Collet , Michael Bestehorn , Alejandro P. Riascos

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…

种群与进化 · 定量生物学 2023-06-28 Francis G. T. Kamba , Leonard C. Eze , Jean Claude Kamgang , Christopher P. Thron

Dengue is a vector-borne disease and 40% of world population is at risk. Dengue transcends international borders and can be found in tropical and subtropical regions around the world, predominantly in urban and semi-urban areas. A model for…

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…

种群与进化 · 定量生物学 2014-02-10 E. Avila-Vales , B. Buonomo , N. Chan-Chi