[PDF] Top 20 Optimal control and mathematical models in epidemiology

... computed and it plays an important role to know if the disease dies out or ...out in order to illustrate important details of the unique endemic equilibrium's ...stability. In [178], Wang and ... See full document

... model in which trees are either Susceptible, Exposed, Infectious, Detected or Removed using data from Southern Garden’s citrus ...spread and the impact of control strategies from the early stages of ... See full document

... as in the homogeneous-parametric form, which are invariant un- der arbitrary transformations of the independent variable t (see [1, ...Lagrangians and the constraints in the Hamiltonian formalism, a ... See full document

... WHO and Centers for Disease Control and ...emerged in mid-November 2002 in Guangdong Province, China ...2003, and began spreading around the world along ... See full document

... Methods and Data for Simulations. Optimal control problems can be solved numerically by direct or indirect ...discretized and the subsequent optimization problem is then solved using software ... See full document

... scenario and an amount of ...chosen and no amount of data has been collected, validation is let to further ...seen in other models and to increase the reliability of this proposed ... See full document

... Optimal Control presents itself as a very useful tool for optimization prob- lems in a broad range of scientic ...enumerate Optimal Control research on HIV/AIDS developed in [4] ... See full document

... (AUV) in an horizontal plane when ocean currents are ...equations and a simple dynamic ...the control appears ...solution. In contrast to many other literature we apply the Maximum Principle ... See full document

... DoA control strategies presented in this work is illustrated by ...both control laws are tested on a bank of eighteen realistic simulated ...Wiener models (see Marsh et al. (1991), and ... See full document

... optimality in comparison to the previous ones but to help understand the behaviour of the different ...models. In fact, it turned out to be of use as we learnt the importance of modelling the drag ... See full document

... term in our cost functional tells us that we want to minimize the number of ...ξ in the second term is a measure of the relative cost of the intervention associated to the control ...applies ... See full document

... Multiobjective optimal control attracts more and more attention and is a topic of extensive current research (see, ...] and references therein). We consider multiobjective problems of ... See full document

... for Optimal Control) for the solution of mixed integer nonlinear ODE or DAE constrained optimal control problems in an extended AMPL ...for mathematical programming created by ... See full document

... of mathematical modeling in epidemiology (MME) is widely acknowledged ...rationales in Public Health problems to support decisions in Public Health, and this constitutes one of ... See full document

... power in the prediction of the mathematics skills when age is considered in the ...model. In the three relational models tested (prediction of relational skills, numerical skills, and ... See full document

... the optimal control problems (P) here considered exist (Theo- rem ...5.1) and can be found using the optimality conditions given in Theorem ...(3) and the transversality conditions (4) ... See full document

... Aveiro in fulfilment of the requirements for the degree of Doctor of Philosophy in Mathematics, under the supervision of ...Aveiro, and co-supervision of ...(Mathematic and Applications, ... See full document

... Méndez and Cerdá ( 2011 ), Vahdani et al. ( 2012 ), Moghadam, Ghomi and Karimi ( 2014 ), Chen et ...Maknoon and Laporte ( 2017 ), Enderer, Contardo and Contreras ( 2017 ), Ahkamiraad ... See full document

... as in the well known Zermelo’s ...state and the thruster’s force f is an additional ...[4]) and, throughout this paper, we consider K = ...negative and so the term −Ku(t)|u(t)| in ˙ ... See full document

... work in an orchestrated ...synthesis and degra- dation, and cellular metabolism, have to be tightly ...Failure in the regulation of these cellular functions, for example through mutations of ... See full document