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Application Of Control Theory In Ecology Lecture Notes In Biomathematics

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Applications of Control Theory in Ecology

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

Applications of Control Theory in Ecology by Yosef Cohen Book Summary:

Control theory can be roughly classified as deterministic or stochastic. Each of these can further be subdivided into game theory and optimal control theory. The central problem of control theory is the so called constrained maximization (which- with slight modifications--is equivalent to minimization). One can then say, heuristically, that the major problem of control theory is to find the maximum of some performance criterion (or criteria), given a set of constraints. The starting point is, of course, a mathematical representation of the performance criterion (or criteria)- sometimes called the objective functional--along with the constraints. When the objective functional is single valued (Le. , when there is only one objective to be maximized), then one is dealing with optimal control theory. When more than one objective is involved, and the objectives are generally incompatible, then one is dealing with game theory. The first paper deals with stochastic optimal control, using the dynamic programming approach. The next two papers deal with deterministic optimal control, and the final two deal with applications of game theory to ecological problems. In his contribution, Dr. Marc Mangel applies the dynamic proQramming approach, as modified by his recent work--with Dr. Colin Clark, from the University of British Columbia (Mangel and Clark 1987}*--to modelling the "behavioral decisions" of insects. The objective functional is a measure of fitness. Readers interested in detailed development of the subject matter may consult Mangel (1985). My contributions deal with two applications of optimal control theory.

Math and Bio 2010

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

Math and Bio 2010 by Lynn Arthur Steen Book Summary:

"Math and bio 2010 grew out of 'Meeting the Challenges: Education across the Biological, Mathematical and Computer Sciences,' a joint project of the Mathematical Association of America (MAA), the National Science Foundation Division of Undergraduate Education (NSF DUE), the National Institute of General Medical Sciences (NIGMS), the American Association for the Advancement of Science (AAAS), and the American Society for Microbiology (ASM)."--Foreword, p. vi

Mathematical Control Theory

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

Mathematical Control Theory by Jerzy Zabczyk Book Summary:

Mathematical Control Theory: An Introduction presents, in a mathematically precise manner, a unified introduction to deterministic control theory. In addition to classical concepts and ideas, the author covers the stabilization of nonlinear systems using topological methods, realization theory for nonlinear systems, impulsive control and positive systems, the control of rigid bodies, the stabilization of infinite dimensional systems, and the solution of minimum energy problems. "Covers a remarkable number of topics....The book presents a large amount of material very well, and its use is highly recommended." --Bulletin of the AMS

Environmental Problem Solving

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

Environmental Problem Solving by Marjan Vezjak,Elmar A. Stuhler,Matjaž Mulej Book Summary:

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国立国会図書館所蔵科学技術関係欧文会議錄目錄

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

国立国会図書館所蔵科学技術関係欧文会議錄目錄 by 国立国会図書館 (Japan),国立国会図書館 (Japan). 参考書誌部. 科学技術課 Book Summary:

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Elements of Mathematical Ecology

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

Elements of Mathematical Ecology by Mark Kot Book Summary:

Elements of Mathematical Ecology provides an introduction to classical and modern mathematical models, methods, and issues in population ecology. The first part of the book is devoted to simple, unstructured population models that ignore much of the variability found in natural populations for the sake of tractability. Topics covered include density dependence, bifurcations, demographic stochasticity, time delays, population interactions (predation, competition, and mutualism), and the application of optimal control theory to the management of renewable resources. The second part of this book is devoted to structured population models, covering spatially-structured population models (with a focus on reaction-diffusion models), age-structured models, and two-sex models. Suitable for upper level students and beginning researchers in ecology, mathematical biology and applied mathematics, the volume includes numerous clear line diagrams that clarify the mathematics, relevant problems thoughout the text that aid understanding, and supplementary mathematical and historical material that enrich the main text.

Mathematical Reviews

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

Mathematical Reviews by N.A Book Summary:

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Books in Print

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

Books in Print by Bowker Editorial Staff Book Summary:

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Quarterly of Applied Mathematics

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

Quarterly of Applied Mathematics by N.A Book Summary:

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Optimal Control, Differential Equations, and Smooth Optimization

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

Optimal Control, Differential Equations, and Smooth Optimization by N.A Book Summary:

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Shinshū yōsho sōgō mokuroku

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

Shinshū yōsho sōgō mokuroku by N.A Book Summary:

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Proceedings of the ... American Control Conference

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

Proceedings of the ... American Control Conference by N.A Book Summary:

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The Cumulative Book Index

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

The Cumulative Book Index by N.A Book Summary:

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American Scientist

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

American Scientist by N.A Book Summary:

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Singular Perturbation Methodology in Control Systems

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

Singular Perturbation Methodology in Control Systems by Desineni S. Naidu Book Summary:

This book presents the twin topics of singular perturbation methods and time scale analysis to problems in systems and control. The heart of the book is the singularly perturbed optimal control systems, which are notorious for demanding excessive computational costs. The book addresses both continuous control systems (described by differential equations) and discrete control systems (characterised by difference equations). Another feature is the extensive bibilography, which will hopefully be of great help for future study and research. Also of particular interest is the categorisation of an impressive record of applications of the methodology of singular pertubations and time scales (SPTS) in a wide spectrum of fields, such as circuits and networks, fluid mechanics and flight mechanics, biology and ecology and robotics.

Discrete mathematics for computing

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

Discrete mathematics for computing by Andrew Vince,Claire Morris Book Summary:

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American Book Publishing Record

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

American Book Publishing Record by N.A Book Summary:

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Bibliographic Index

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

Bibliographic Index by N.A Book Summary:

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Complexity, Analysis and Control of Singular Biological Systems

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

Complexity, Analysis and Control of Singular Biological Systems by Qingling Zhang,Chao Liu,Xue Zhang Book Summary:

Complexity, Analysis and Control of Singular Biological Systems follows the control of real-world biological systems at both ecological and phyisological levels concentrating on the application of now-extensively-investigated singular system theory. Much effort has recently been dedicated to the modelling and analysis of developing bioeconomic systems and the text establishes singular examples of these, showing how proper control can help to maintain sustainable economic development of biological resources. The book begins from the essentials of singular systems theory and bifurcations before tackling the use of various forms of control in singular biological systems using examples including predator-prey relationships and viral vaccination and quarantine control. Researchers and graduate students studying the control of complex biological systems are shown how a variety of methods can be brought to bear and practitioners working with the economics of biological systems and their control will also find the monograph illuminating.

Topology

Application Of Control Theory In Ecology Lecture Notes In Biomathematics [Pdf/ePub] eBook

Topology by Ronald Brown Book Summary:

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