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6 papers · 1 filter
Hahn's Symmetric Quantum Variational Calculus
Artur M. C. Brito da Cruz, Natalia Martins, Delfim F. M. Torres
We introduce and develop the Hahn symmetric quantum calculus with applications to the calculus of variations. Namely, we obtain a necessary optimality condition of Euler-Lagrange t…
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)…
Controllability of a planar inverted pendulum on a cart
M. Isabel Caiado
Using tools and techniques from geometric control theory, namely Hermann-Nagano theorem, we prove controllability result for a mechanical system consisting of a planar double inver…
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…
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…