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Complexity, Analysis and Control of Singular Biological Systems

  • Book
  • © 2012

Overview

Authors:
  1. Qingling Zhang

    1. , College of Sciences, Northeastern University, Shenyang, China, People's Republic

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  2. Chao Liu

    1. , College of Sciences, Northeastern University, Shenyang, China, People's Republic

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    You can also search for this author in PubMed   Google Scholar

  3. Xue Zhang

    1. , College of Sciences, Northeastern University, Shenyang, China, People's Republic

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  • Covers a range of control methods so that if one proves unsuitable, other options are available
  • Provides researchers with evidence demonstrating control of biological systems with economic importance
  • Introduces singular systems through basics of periodic, quasiperiodic and chaotic systems making the subject accessible to the non-specialist

Part of the book series: Lecture Notes in Control and Information Sciences (LNCIS, volume 421)

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Table of contents (15 chapters)

  1. Front Matter

    Pages 1-11
    Download chapter PDF

  2. Introduction

    • Qingling Zhang, Chao Liu, Xue Zhang
    Pages 1-5

  3. Preliminary Singular Systems Theory

    • Qingling Zhang, Chao Liu, Xue Zhang
    Pages 7-21

  4. Bifurcations

    • Qingling Zhang, Chao Liu, Xue Zhang
    Pages 23-42

  5. Bifurcations and Control in a Singular Biological Economic Model

    • Qingling Zhang, Chao Liu, Xue Zhang
    Pages 43-66

  6. Chaos and Control in Singular Biological Economic Systems

    • Qingling Zhang, Chao Liu, Xue Zhang
    Pages 67-88

  7. T-S Fuzzy Control for Singular Biological Systems

    • Qingling Zhang, Chao Liu, Xue Zhang
    Pages 89-101

  8. Dynamic Analysis and Optimal Control of a Singular Biological Economic Model

    • Qingling Zhang, Chao Liu, Xue Zhang
    Pages 103-111

  9. Bifurcations of a Singular Predator-Prey Model with Holling-II Functional Response

    • Qingling Zhang, Chao Liu, Xue Zhang
    Pages 113-125

  10. A Singular Bioeconomic Model with Diffusion and Time Delay

    • Qingling Zhang, Chao Liu, Xue Zhang
    Pages 127-142

  11. Bifurcation Analysis and Control of a Class of Hybrid Biological Economic Models

    • Qingling Zhang, Chao Liu, Xue Zhang
    Pages 143-156

  12. Bifurcations of a Class of Discrete-Time Singular Biological Economic Models

    • Qingling Zhang, Chao Liu, Xue Zhang
    Pages 157-170

  13. Mechanics and Control in Singular Physiological Complex Systems

    • Qingling Zhang, Chao Liu, Xue Zhang
    Pages 171-183

  14. Complex Dynamical Behavior in Bio-economic Prey-Predator Models with Competition for Prey

    • Qingling Zhang, Chao Liu, Xue Zhang
    Pages 185-201

  15. Analysis and Control of an SEIR Epidemic System with Nonlinear Transmission Rate

    • Qingling Zhang, Chao Liu, Xue Zhang
    Pages 203-225

  16. Discussion

    • Qingling Zhang, Chao Liu, Xue Zhang
    Pages 227-229

  17. Back Matter

    Pages 0--1
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Keywords

About this book

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.

Reviews

From the reviews:

“This book describes the applications of theories of singular systems and control systems to biological systems. It is aimed at graduate students and other researchers in the fields of control theory and systems biology. … a welcome addition to the growing and interdisciplinary research field of systems and control of biological models.” (D. Subbaram Naidu, Amazon.com, July, 2013)

Authors and Affiliations

  • , College of Sciences, Northeastern University, Shenyang, China, People's Republic

    Qingling Zhang, Chao Liu, Xue Zhang

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