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In mathematical epidemiology, epidemic control often aims at driving the number of infected individuals to zero, asymptotically. However , during the transitory phase, the number of infected can peak at high values. In this paper, we…

Optimization and Control · Mathematics 2015-10-06 Michel De Lara , Lilian Sofia Sepulveda Salcedo

Dengue is a serious health problem in the Philippines. In 2016, the Department of Health of the country launched a dengue vaccination campaign using Dengvaxia. However, the campaign was mired with controversy and the use of Dengvaxia was…

Populations and Evolution · Quantitative Biology 2019-08-07 Michelle N. Raza , Randy L. Caga-anan

Due to the rapid geographic spread of the Aedes mosquito and the increase in dengue incidence, dengue fever has been an increasing concern for public health authorities in tropical and subtropical countries worldwide. Significant challenges…

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…

Populations and Evolution · Quantitative Biology 2024-01-22 Piumi Chathurangika , Sanjeewa Perera , Kushani De Silva

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

Mosquitoes are vectors of viral diseases with epidemic potential in many regions of the world, and in absence of vaccines or therapies, their control is the main alternative. Chemical control through insecticides has been one of the…

Populations and Evolution · Quantitative Biology 2021-04-07 Pastor Pérez Estigarribia , Pierre-Alexandre Bliman , Christian Schaerer

Although dengue fever is an ancient disease that should have been eradicated since time ago, in Mexico as well as in other regions worldwide the cases of classic and hemorrhagic dengue continue to be reported presently. Since 2002 (and…

Populations and Evolution · Quantitative Biology 2016-01-28 Erick J. Lopez-Sanchez , Norma Y. Sanchez-Torres , Carlos Trenado , Juan M. Romero

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…

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…

Populations and Evolution · Quantitative Biology 2019-08-09 Fabio Sanchez , Jorge Arroyo-Esquivel , Paola Vasquez

Controlling diseases such as dengue fever, chikungunya and zika fever by introduction of the intracellular parasitic bacterium Wolbachia in mosquito populations which are their vectors, is presently quite a promising tool to reduce their…

Optimization and Control · Mathematics 2019-03-05 Pierre-Alexandre Bliman

We present a SIR+ASI epidemic model to describe the interaction between human and dengue fever mosquito populations. A control strategy in the form of vaccination, to decrease the number of infected individuals, is used. An optimal control…

Optimization and Control · Mathematics 2011-09-19 Helena Sofia Rodrigues , M. Teresa T. Monteiro , Delfim F. M. Torres

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

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

Dengue represents a serious public health problem in tropical and subtropical regions worldwide. The number of dengue cases and its geographical expansion has increased in recent decades, driven mostly after by social and environmental…

Populations and Evolution · Quantitative Biology 2021-07-14 Yury E. García , Luis A. Barboza , Fabio Sanchez , Paola Vásquez , Juan G. Calvo

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

There are economic and physical limitations when applying prevention and control strategies for urban vector borne diseases. Consequently, there are increasing concerns and interest in designing efficient strategies and regulations that…

Populations and Evolution · Quantitative Biology 2017-10-12 Jorge Velázquez-Castro , Andrés Anzo-Hernández , Beatriz Bonilla-Capilla , Moisés Soto-Bajo , Andrés Fraguela-Collar

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

Community involvement and the preventive behavior of households are considered to be at the heart of vector-control strategies. In this work, we consider a simple theoretical model that enables us to take into account human behaviors that…

Dynamical Systems · Mathematics 2016-11-17 Y. Dumont , J. Thuilliez

Local climate conditions play a major role in the development of the mosquito population responsible for transmitting Dengue Fever. Since the {\em Aedes Aegypti} mosquito is also a primary vector for the recent Zika and Chikungunya…

Quantitative Methods · Quantitative Biology 2017-01-03 Lucas Stolerman , Pedro Maia , J. Nathan Kutz

The relationship between epidemiology, mathematical modeling and computational tools allows to build and test theories on the development and battling of a disease. This PhD thesis is motivated by the study of epidemiological models applied…

Optimization and Control · Mathematics 2014-01-30 Helena Sofia Rodrigues