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Sensitivity analysis in a dengue epidemiological model
Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.Epidemiological models may give some basic guidelines for public health practitioners, allowing the analysis of issues that can influence the strategies to prevent and fight a disease. To be used in decision making, however, a mathematical model must be carefully parameterized and validated with epidemiological and entomological data. Here an SIR (S for susceptible, I for infectious, and R for recovered individ...
Bioeconomic perspectives to an optimal control dengue model
Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.A model with six mutually exclusive compartments related to dengue is studied. Three vector control tools are considered: insecticides (larvicide and adulticide) and mechanical control. The basic reproduction number associated to the model is presented. The problem is studied using an optimal control approach. The human data are based on the dengue outbreak that occurred in Cape Verde. Control measures are simu...
Dengue in Cape Verde : vector control and vaccination
Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.In 2009, for the rst 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 e ects of vector control on disease spreading, such as insecticide (larvicide and adulticide) and mechanical control, as well as an hypothetical vaccine, are estimated through simulations with the Cape Verde data.
Vaccination models and optimal control strategies to dengue
Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M."accepted 16-Oct-2013" ; As the development of a dengue vaccine is ongoing, we simulate an hypothetical vaccine as an extra protection to the population. In a rst phase, the vaccination process is studied as a new compartment in the model, and di erent ways of distributing the vaccines investigated: pediatric and random mass vaccines, with distinct levels of e cacy and durability. In a second step, the vaccin...
Dengue disease, basic reproduction number and control
Monteiro, M. Teresa T.; Torres, Delfim F. M.; Zinober, Alan; Rodrigues, Helena SofiaDengue 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 fight the disease is vector control. 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 ...
Modeling and Optimal Control applied to a vector borne disease
Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.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) and mechanical control. The problem is studied using an Optimal Control (OC) approach. The human data for the model is based on the Cape Verde Dengue outbreak. Some control measures are simulated and their consequences analyzed.
Combining the regularization strategy and the SQP to solve MPCC - A MATLAB impl...
Monteiro, M. Teresa T.; Rodrigues, Helena SofiaMathematical Program with Complementarity Constraints (MPCC) plays a very important role in many fields such as engineering design, economic equilibrium, multilevel game, and mathematical programming theory itself. In theory its constraints fail to satisfy a standard constraint qualification such as the linear independence constraint qualification (LICQ) or the Mangasarian-Fromovitz constraint qualification (MF...
Optimal control of a dengue epidemic model with vaccination
Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.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 approach is applied in order to find the best way to fight the disease.
Insecticide control in a Dengue epidemics model
Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Torres, Delfim F. M.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 mosquitoes. The main goal of this work is to investigate the best way to apply the control in order to effectively reduce the number of infected humans and mosquitoes. A case study, u...
A MPCC-NLP approach for an electric power market problem
Rodrigues, Helena Sofia; Monteiro, M. Teresa T.; Vaz, A. Ismael F.The electric power market is changing - it has passed from a regulated market, where the government of each country had the control of prices, to a deregulated market economy. Each company competes in order to get more clients and maximize its profits. This market is represented by a Stackelberg game with two firms, leader and follower, and the leader anticipates the reaction of the follower. The problem is for...
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