An Introduction to Optimal Control Problems in Life Sciences and Economics
Combining two important and growing areas of applied mathematics—control theory and modeling—this textbook introduces and builds on methods for simulating and tackling problems in a variety of applied sciences. Control theory has moved from primarily bein
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Series Editor Nicola Bellomo Politecnico di Torino Italy Advisory Editorial Board M. Avellaneda (Modeling in Economics) Courant Institute of Mathematical Sciences New York University 251 Mercer Street New York, NY 10012, USA
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P. Koumoutsakos (Computational Science & Engineering) Chair of Computational Science ETH Zurich ¨ Universit¨atsstrasse 6 CH-8092 Zurich, ¨ Switzerland
[email protected] K.J. Bathe (Solid Mechanics) Department of Mechanical Engineering Massachusetts Institute of Technology Cambridge, MA 02139, USA
[email protected] P. Degond (Semiconductor and Transport Modeling) Mathematiques ´ pour l’Industrie et la Physique Universit´e P. Sabatier Toulouse 3 118 Route de Narbonne 31062 Toulouse Cedex, France
[email protected] A. Deutsch (Complex Systems in the Life Sciences) Center for Information Services and High Performance Computing Technische Universit¨at Dresden 01062 Dresden, Germany
[email protected] M.A. Herrero Garcia (Mathematical Methods) Departamento de Matematica Aplicada Universidad Complutense de Madrid Avenida Complutense s/n 28040 Madrid, Spain
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H.G. Othmer (Mathematical Biology) Department of Mathematics University of Minnesota 270A Vincent Hall Minneapolis, MN 55455, USA
[email protected] L. Preziosi (Industrial Mathematics) Dipartimento di Matematica Politecnico di Torino Corso Duca degli Abruzzi 24 10129 Torino, Italy
[email protected] K.R. Rajagopal (Multiphase Flows) Department of Mechanical Engineering Texas A & M University College Station, TX 77843, USA
[email protected] Y. Sone (Fluid Dynamics in Engineering Sciences) Professor Emeritus Kyoto University 230-133 Iwakura-Nagatani-cho Sakyo-ku Kyoto 606-0026, Japan
[email protected]. ac.jp
Sebastian Anit¸a Viorel Arn˘autu Vincenzo Capasso
An Introduction to Optimal Control Problems in Life Sciences and Economics From Mathematical Models to Numerical Simulation with MATLAB R
Sebastian Anit¸a Faculty of Mathematics University “Al.I. Cuza” Ias¸i Bd. Carol I, 11 and Institute of Mathematics “Octav Mayer” Ias¸i Bd. Carol I, 8 Romania [email protected]
Vincenzo Capasso ADAMSS (Interdisciplinary Centre for Advanced Applied Mathematical and Statistical Sciences) and Department of Mathematics Universit`a degli Studi di Milano Via Saldini 50 20133 Milano Italy [email protected]
Viorel Arn˘autu Faculty of Mathematics University “Al.I. Cuza” Ias¸i Bd. Carol I, 11 700506 Ias¸i, Romania [email protected]
ISBN 978-0-8176-8097-8 e-ISBN 978-0-8176-8098-5 DOI 10.1007/978-0-8176-8098-5 Springer New York Dordrecht Heidelberg London Library of Congress Control Number: 2010937643 Mathematics Subject Classification (2010): 49-XX, 49J15, 49J20, 49K15, 49K20, 49N25, 65-XX, 65K10, 65L05, 65L06, 68-04, 91Bxx, 92-XX c Springer Science+Business Media, LLC 2011 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Springer Science+Business Media, LLC, 233 Spring Street, N
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