Optimal Control Applied to Biological Models

By Suzanne Lenhart and John T. Workman

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.

• Format: Hardcover
• Language: English
• ISBN: 1584886404
• ISBN13: 9781584886402
• Release Date: May 2007
• Publisher: CRC Press
• Length: 274 Pages
• Weight: 1.15 lbs.
• Dimensions: 0.8" x 6.4" x 9.5"

Customer Reviews

Excellent and Useful

This is an excellent introductory book on optimal control applied to biological models. It covers a variety of topics including optimal control on ODEs, PDEs and discrete system. The 14 Labs with Matlab codes with user-friendly interface provided on the web offer a good resource to manipulate and learn the materials. The last chapter about other approaches and extensions opens a new horizon.