Suzanne Lenhart, John T. Workman

Optimal Control Applied to Biological Models (eBook, ePUB)

• Format: ePub

Produktbeschreibung

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

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 274
• Erscheinungstermin: 7. Mai 2007
• Englisch
• ISBN-13: 9781040066560
• Artikelnr.: 72287783

Autorenporträt

Suzanne Lenhart, John T. Workman

Inhaltsangabe

Basic Optimal Control Problems. Existence and Other Solution Properties. State Conditions at the Final Time. Forward-Backward Sweep Method. Lab 1: Introductory Example. Lab 2: Mold and Fungicide. Lab 3: Bacteria. Bounded Controls. Lab 4: Bounded Case. Lab 5: Cancer. Lab 6: Fish Harvesting. Optimal Control of Several Variables. Lab 7: Epidemic Model. Lab 8: HIV Treatment. Lab 9: Bear Populations. Lab 10: Glucose Model. Linear Dependence on the Control. Lab 11: Timber Harvesting. Lab 12: Bioreactor. Free Terminal Time Problems. Adapted Forward-Backward Sweep. Lab 13: Predator-Prey Model. Discrete Time Models. Lab 14: Invasive Plant Species. Partial Differential Equation Models. Other Approaches and Extensions. References. Index.

Rezensionen

". . . the present book has the merit of collecting and treating in a unitary and accessible manner a large number of relevant problems in mathematical biology; the text is well written, systematically presented, accurate most of the time and accessible to a fairly large audience; it could do a great service to the community of researchers in mathematical control theory . . ."

- Stefan Mirica, in Mathematical Reviews, 2008f