Optimal Control Applied to Biological Models: 1st Edition (e-Book) book cover

Optimal Control Applied to Biological Models

1st Edition

By Suzanne Lenhart

Chapman and Hall/CRC

274 pages

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Hardback: 9781584886402
pub: 2007-05-07
$125.00
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eBook (VitalSource) : 9780429138058
pub: 2007-05-07
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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 t

Table of Contents

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.

Subject Categories

BISAC Subject Codes/Headings:
MAT003000
MATHEMATICS / Applied
MAT007000
MATHEMATICS / Differential Equations
SCI008000
SCIENCE / Life Sciences / Biology / General