221 citations · 912 across the 17 of their papers we have counts for
17 papers
Dengue disease: a multiobjective viewpoint
Roman Denysiuk, Helena Sofia Rodrigues, M. Teresa T. Monteiro +3
During the last decades, the global prevalence of dengue progressed dramatically. It is a disease that is now endemic in more than one hundred countries of Africa, America, Asia, a…
Modelling some real phenomena by fractional differential equations
Ricardo Almeida, Nuno R. O. Bastos, M. Teresa T. Monteiro
This paper deals with fractional differential equations, with dependence on a Caputo fractional derivative of real order. The goal is to show, based on concrete examples and experi…
Coexistence of two dengue virus serotypes and forecasting for Madeira island
Filipa Portugal Rocha, Helena Sofia Rodrigues, M. Teresa T. Monteiro +1
The first outbreak of dengue occurred in Madeira Island on 2012, featuring one virus serotype. Aedes aegypti was the vector of the disease and it is unlikely that it will be elimin…
Multiobjective approach to optimal control for a dengue transmission model
Roman Denysiuk, Helena Sofia Rodrigues, M. Teresa T. Monteiro +3
During the last decades, the global prevalence of dengue progressed dramatically. It is a disease which is now endemic in more than one hundred countries of Africa, America, Asia a…
Seasonality effects on Dengue: basic reproduction number, sensitivity analysis and optimal control
Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres
Dengue is a vector-borne disease transmitted from an infected human to an Aedes mosquito, during a blood-meal. Dengue is still a major public health problem. A model for the diseas…
Dengue in Madeira Island
Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres +3
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 wor…
Optimal control and numerical software: an overview
Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres
Optimal Control (OC) is the process of determining control and state trajectories for a dynamic system, over a period of time, in order to optimize a given performance index. With…
Vaccination models and optimal control strategies to dengue
Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres
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 studie…
Sensitivity Analysis in a Dengue Epidemiological Model
Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres
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.…
Bioeconomic Perspectives to an Optimal Control Dengue Model
Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres
A model with six mutually-exclusive compartments related to dengue is studied. Three vector control tools are considered: insecticides (larvicide and adulticide) and mechanical con…
Modeling and Optimal Control Applied to a Vector Borne Disease
Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres
A model with six mutually-exclusive compartments related to Dengue disease is presented. In this model there are three vector control tools: insecticides (larvicide and adulticide)…
Dengue in Cape Verde: vector control and vaccination
Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres
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 effect…
Dengue disease, basic reproduction number and control
Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres +1
Dengue is one of the major international public health concerns. Although progress is underway, developing a vaccine against the disease is challenging. Thus, the main approach to…
Insecticide control in a Dengue epidemics model
Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres
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 con…
Control of dengue disease: a case study in Cape Verde
Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres +1
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 con…
Dynamics of Dengue epidemics using optimal control
Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres
We present an application of optimal control theory to Dengue epidemics. This epidemiologic disease is an important theme in tropical countries due to the growing number of infecte…
Optimization of Dengue Epidemics: a test case with different discretization schemes
Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres
The incidence of Dengue epidemiologic disease has grown in recent decades. In this paper an application of optimal control in Dengue epidemics is presented. The mathematical model…