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Optimal Control Applied to Biological Models (Hardcover)
Loot Price: R3,937
Discovery Miles 39 370
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Optimal Control Applied to Biological Models (Hardcover)
Series: Chapman & Hall/CRC Mathematical Biology Series
Expected to ship within 12 - 17 working days
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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(R) 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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