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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

In a study conducted in Singapore, a country prone to dengue outbreaks due to its climate and urban population, researchers examined the effectiveness of releasing male Aedes aegypti mosquitoes infected with Wolbachia (wAlbB strain) to…

Dengue is the most prevalent arthropod-borne viral disease. Clinical symptoms of dengue virus (DENV) infection range from classical mild dengue fever to severe, life-threatening dengue shock syndrome. However, most DENV infections cause few…

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…

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…

Analysis of PDEs · Mathematics 2018-11-21 Felipo Bacani , Stylianos Dimas , Igor Leite Freire , Norberto Anibal Maidana , Mariano Torrisi

Dengue fever is a mosquito-borne disease present in all Brazilian territory. Brazilian government, however, lacks an accurate early warning system to quickly predict future dengue outbreaks. Such system would help health authorities to plan…

Applications · Statistics 2016-08-12 Julio Albinati , Wagner Meira , Gisele Lobo Pappa

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

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

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

Over the years, population-level tobacco control policies have considerably reduced smoking prevalence worldwide. However, the rate of decline of smoking prevalence is slowing down. Therefore, there is a need for models that capture the…

Physics and Society · Physics 2022-07-19 Adarsh Prabhakaran , Valerio Restocchi , Benjamin D. Goddard

We introduce a dengue model (SEIR) where the human individuals are treated on an individual basis (IBM) while the mosquito population, produced by an independent model, is treated by compartments (SEI). We study the spread of epidemics by…

Populations and Evolution · Quantitative Biology 2015-03-17 Marcelo J Otero , Daniel H Barmak , Claudio O Dorso , Hernán G Solari , Mario A Natiello

This paper focuses on studying the impact of climate data and vector larval indices on dengue outbreak. After a comparative study of the various LSTM models, Bidirectional Stacked LSTM network is selected to analyze the time series climate…

Machine Learning · Computer Science 2023-06-26 Varalakshmi M , Daphne Lopez

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…

Populations and Evolution · Quantitative Biology 2022-03-01 Andrew Black , Andrew Smith , Alun Lloyd , Joshua Ross

The control of the spread of dengue fever by introduction of the intracellular parasitic bacterium Wolbachia in populations of the vector Aedes aegypti, is presently one of the most promising tools for eliminating dengue, in the absence of…

Quantitative Methods · Quantitative Biology 2020-10-02 Pierre-Alexandre J. Bliman , M. Soledad Aronna , Flávio C. Coelho , Moacyr A. H. B. da Silva

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

In this work we analyze the post monsoon Dengue outbreaks by analyzing the transient and long term dynamics of Dengue incidences and its environmental correlates in Ahmedabad city in western India from 2005-2012. We calculate the…

Populations and Evolution · Quantitative Biology 2016-11-18 Murali Krishna Enduri , Shivakumar Jolad

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 fever impacts populations across the tropics. Dengue is caused by a mosquito transmitted flavivirus and its burden is projected to increase under future climate and development scenarios. The transmission process of dengue virus is…

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

Quantifying the attack ratio of disease is key to epidemiological inference and Public Health planning. For multi-serotype pathogens, however, different levels of serotype-specific immunity make it difficult to assess the population at…

Populations and Evolution · Quantitative Biology 2015-02-05 Flavio Coelho , Luiz Max Carvalho