Optimal Control Applied to Biological Models
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A01=John T. Workman
A01=Suzanne Lenhart
adjoint
Adjoint Differential Equation
Adjoint Equation
Adjoint Function
Adjoint Variable
Author_John T. Workman
Author_Suzanne Lenhart
Bacteria
Bacteria Population
biological models
Black Bear Population
cancer
Category=PS
conditions
control theory applications
difference
differential equations
Discrete Time Model
Drug Strength
epidemic modelling
eq_bestseller
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
eq_non-fiction
eq_science
equation
equations
Final Time Condition
forward backward sweep method in biology
glucose
HIV
Infected CD4
Isoperimetric Constraint
mathematical modelling
MATLAB
Max U1
maximum
numerical optimisation
Open MATLAB
Optimal Control
Optimal Control Applied
Optimal Control Problem
Optimal Control Techniques
Ordinary Differential Equations
Piecewise Continuous Function
Pontryagin's Maximum Principle
pontryagins
Pontryagin’s Maximum Principle
population dynamics
problem
resource management strategies
Sir Epidemic Model
Standard Ode Solver
Suzanne Lenhart
Ta Te
Terminal Time
transversality
Transversality Condition
variable
Product details
- ISBN 9781584886402
- Weight: 670g
- Dimensions: 156 x 234mm
- Publication Date: 07 May 2007
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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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® 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.
Suzanne Lenhart, John T. Workman
