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 t

chapter 1|20 pages

Basic Optimal Control Problems

chapter 2|16 pages

Existence and Other Solution Properties

chapter 3|12 pages

State Conditions at the Final Time

chapter 4|8 pages

Forward-Backward Sweep Method

chapter 5|6 pages

Lab 1: Introductory Example

chapter 6|4 pages

Lab 2: Mold and Fungicide

chapter 7|4 pages

Lab 3: Bacteria

chapter 8|14 pages

Bounded Controls

chapter 9|4 pages

Lab 4: Bounded Case

chapter 10|4 pages

Lab 5: Cancer

chapter 11|4 pages

Lab 6: Fish Harvesting

chapter 12|20 pages

Optimal Control of Several Variables

chapter 13|6 pages

Lab 7: Epidemic Model

chapter 14|6 pages

Lab 8: HIV Treatment

chapter 15|6 pages

Lab 9: Bear Populations

chapter 16|4 pages

Lab 10: Glucose Model

chapter 17|14 pages

Linear Dependence on the Control

chapter 18|4 pages

Lab 11: Timber Harvesting

chapter 19|6 pages

Lab 12: Bioreactor

chapter 20|12 pages

Free Terminal Time Problems

chapter 21|14 pages

Adapted Forward-Backward Sweep

chapter 22|4 pages

Lab 13: Predator-Prey Model

chapter 23|12 pages

Discrete Time Models

chapter 24|6 pages

Lab 14: Invasive Plant Species

chapter 25|26 pages

Partial Di®erential Equation Models

chapter 26|8 pages

Other Approaches and Extensions