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Optimal Control Applied to Biological Models (Chapman &
Hall/CRC Mathematical Biology Series)
BOOK DETAIL
Series: Chapman & Hall/CRC Mathematical Biology Series (Book 15) Hardcover: 274 pages Publisher:
Chapman and Hall/CRC; 1 edition (May 7, 2007) Language: English ISBN-10: 1584886404 ISBN-13: 978-
1584886402 Product Dimensions: 6.1 x 0.6 x 9.2 inches Shipping Weight: 1.1 pounds (View shipping rates
and policies)
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Book Description
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.

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