Anita S., Arnautu V., Capasso V. An Introduction to Optimal Control Problems in Life Sciences and Economics. From Mathematical Models to Numerical Simulation with MatLAB

Birkhäuser, 2011. — 232 p. — ISBN 978-0-8176-8097-8.Written for graduate and advanced undergraduate courses in mathematics, physics, engineering, and computer science, this book introduces and builds on methods for simulating and tackling problems in a variety of applied sciences. Emphasizing "learning by doing," the authors focus on examples and applications to real-world problems, stressing concepts and minimizing technicalities. Topics covered include Pontryagin’s principle, maximizing total consumption, stock management, and diffusion in mathematical models.Combining two important and growing areas of applied mathematics — control theory and modeling — this textbook introduces and builds on methods for simulating and tackling concrete problems in a variety of applied sciences.
Emphasizing "learning by doing," the authors focus on examples and applications to real-world problems. An elementary presentation of advanced concepts, proofs to introduce new concepts, and carefully presented MatLAB programs guide the reader through methods in optimal control and related models. This approach not only fosters an understanding of the basic topics, but also leads the way to new, independent research.With minimal prerequisites and exercises in each chapter, An Introduction to Optimal Control Problems in Life Sciences and Economics, serves as an excellent textbook for graduate and advanced undergraduate courses in mathematics, physics, engineering, computer science, as well as biology, biotechnology, economics, and finance. The work is also a useful reference for researchers and practitioners working with optimal control theory in the above areas.An introduction to the main tools of MatLAB, as well as programs that move from relatively simple ODE applications to more complex PDE models
Numerous applications to a wide range of subject areas, including HIV and insulin treatments, population dynamics, and stock management
Exploration of cutting-edge topics in later chapters designed to stimulate further research and theses projects
Exercises in each chapterAn introduction to MatLAB. Elementary models with applications
Optimal control of ordinary differential systems. Optimality conditions
Optimal control of ordinary differential systems. Gradient methods
Optimal harvesting for age-structured population
Optimal control of diffusive models