Optimal Control Applied to Biological Models

Suzanne Lenhart

ISBN 10: 1584886404 / ISBN 13: 9781584886402

Verlag: Chapman And Hall/CRC, 2007

Beschreibung

nach der Bestellung gedruckt Neuware - Printed after ordering - From economics and business to the biological sciences to physics and engineering, professionals successfully use the powerful mathematical tool of optimal control to make management and strategy decisions. Optimal Control Applied to Biological Models thoroughly develops the mathematical aspects of optimal control theory and provides insight into the application of this theory to biological models.Focusing on mathematical concepts, the book first examines the most basic problem for continuous time ordinary differential equations (ODEs) before discussing more complicated problems, such as variations of the initial conditions, imposed bounds on the control, multiple states and controls, linear dependence on the control, and free terminal time. In addition, the authors introduce the optimal control of discrete systems and of partial differential equations (PDEs). Featuring a user-friendly interface, the book contains fourteen interactive sections of various applications, including immunology and epidemic disease models, management decisions in harvesting, and resource allocation models. It also develops the underlying numerical methods of the applications and includes the MATLAB® codes on which the applications are based.Requiring only basic knowledge of multivariable calculus, simple ODEs, and mathematical models, this text shows how to adjust controls in biological systems in order to achieve proper outcomes.

Bestandsnummer des Verkäufers 9781584886402

Bibliografische Details

• Titel: Optimal Control Applied to Biological Models
• Verlag: Chapman And Hall/CRC
• Erscheinungsjahr: 2007
• Sprache: Englisch
• ISBN-10: 1584886404
• ISBN-13: 9781584886402
• Einband: Buch
• Zustand: Neu
• Abmessungen: 240B x 161 H x 19 T Millimeter Breite: 240 mm, Höhe: 161 mm, Tiefe: 19 mm
• Gewicht: 578 Gramm

Über diesen Titel

Inhaltsangabe

This text introduces the mathematical aspects of optimal control theory and provides insight into the application of this theory to biological models. It examines various problems, such as the continuous time ordinary differential equation, variations of the initial conditions, linear dependence on the control, and free terminal time. The book also features a range of biological applications, including immunology and epidemic disease models, management decisions in harvesting, and resource allocation models. With numerous examples and exercises, the text includes MATLAB codes throughout, enabling readers to modify the codes for their own applications.

Über die Autorin bzw. den Autor

Suzanne Lenhart, John T. Workman