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Dynamical Systems and Their Applications in Biology
 
Edited by: Shigui Ruan Dalhousie University, Halifax, NS, Canada
Gail S. K. Wolkowicz McMaster University, Hamilton, ON, Canada
Jianhong Wu York University, North York, ON, Canada
A co-publication of the AMS and Fields Institute
Front Cover for Dynamical Systems and Their Applications in Biology
Available Formats:
Hardcover ISBN: 978-0-8218-3163-2
Product Code: FIC/36
List Price: $98.00
MAA Member Price: $88.20
AMS Member Price: $78.40
Electronic ISBN: 978-1-4704-3070-2
Product Code: FIC/36.E
List Price: $92.00
MAA Member Price: $82.80
AMS Member Price: $73.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $147.00
MAA Member Price: $132.30
AMS Member Price: $117.60
Front Cover for Dynamical Systems and Their Applications in Biology
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  • Front Cover for Dynamical Systems and Their Applications in Biology
  • Back Cover for Dynamical Systems and Their Applications in Biology
Dynamical Systems and Their Applications in Biology
Edited by: Shigui Ruan Dalhousie University, Halifax, NS, Canada
Gail S. K. Wolkowicz McMaster University, Hamilton, ON, Canada
Jianhong Wu York University, North York, ON, Canada
A co-publication of the AMS and Fields Institute
Available Formats:
Hardcover ISBN:  978-0-8218-3163-2
Product Code:  FIC/36
List Price: $98.00
MAA Member Price: $88.20
AMS Member Price: $78.40
Electronic ISBN:  978-1-4704-3070-2
Product Code:  FIC/36.E
List Price: $92.00
MAA Member Price: $82.80
AMS Member Price: $73.60
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $147.00
MAA Member Price: $132.30
AMS Member Price: $117.60
  • Book Details
     
     
    Fields Institute Communications
    Volume: 362003; 268 pp
    MSC: Primary 34; Secondary 92; 35; 58;

    This volume is based on the proceedings of the International Workshop on Dynamical Systems and their Applications in Biology held at the Canadian Coast Guard College on Cape Breton Island (Nova Scotia, Canada). It presents a broad picture of the current research surrounding applications of dynamical systems in biology, particularly in population biology.

    The book contains 19 papers and includes articles on the qualitative and/or numerical analysis of models involving ordinary, partial, functional, and stochastic differential equations. Applications include epidemiology, population dynamics, and physiology.

    The material is suitable for graduate students and research mathematicians interested in ordinary differential equations and their applications in biology. Also available by Ruan, Wolkowicz, and Wu is Differential Equations with Applications to Biology, Volume 21 in the AMS series, Fields Institute Communications.

    Readership

    Graduate students and research mathematicians interested in ordinary differential equations and their applications.

  • Table of Contents
     
     
    • Chapters
    • Julie Atamanyk and William Langford - A compartmental model of Cheyne-Stokes respiration
    • M. Bachar and O. Arino - Integrated semigroup and linear ordinary differential equation with impulses
    • Chris Bauch and David Earn - Interepidemic intervals in forced and unforced SEIR models
    • Edoardo Beretta, Hirotatsu Sakakibara and Yasuhiro Takeuchi - Stability analysis of time delayed chemostat models for bacteria and virulent phage
    • Janet Best, Carlos Castillo-Chavez and Abdul-Aziz Yakubu - Hierarchical competition in discrete time models with dispersal
    • Fred Brauer - Stability and instability theorems for a characteristic equation arising in epidemic modeling
    • Fred Brauer and P. van den Driessche - Some directions for mathematical epidemiology
    • Yuming Chen - Global attractivity of a population model with state-dependent delay
    • Zhilan Feng, Yingfei Yi and Huaiping Zhu - Metapopulation dynamics with migration and local competition
    • S. Gourley - Oscillations and convergence in a harvesting model with sawtooth delay
    • Weigu Li and Meirong Zhang - Rigidity for differentiable classification of one-dimensional dynamical systems
    • Xinzhi Liu - Management of biological populations via impulsive control
    • C. McCluskey - Stability for a class of three-dimensional homogeneous systems
    • Israel Ncube, Sue Campbell and Jianhong Wu - Change in criticality of synchronous Hopf bifurcation in a multiple-delayed neural system
    • Yasuhisa Saito and Yasuhiro Takeuchi - Sharp conditions for global stability of Lotka-Volterra systems with delayed intraspecific competitions
    • Hal Smith and Bingtuan Li - Competition for essential resources: A brief review
    • X. Tang, Lin Wang and Xingfu Zou - 3/2 type criteria for global attractivity of Lotka-Volterra discrete system with delays
    • P. van den Driessche and James Watmough - Epidemic solutions and endemic catastrophies
    • Xiao-Qiang Zhao - Persistence in almost periodic predator-prey reaction-diffusion systems
  • Reviews
     
     
    • This volume is a highly selective and carefully edited piece ... a collection of well-written and balanced articles by ... well-known researchers at the interface of biomathematics and dynamical systems ... the work represents frontiers or emerging frontiers of biomathematics research.

      SIAM Review
  • Request Review Copy
Volume: 362003; 268 pp
MSC: Primary 34; Secondary 92; 35; 58;

This volume is based on the proceedings of the International Workshop on Dynamical Systems and their Applications in Biology held at the Canadian Coast Guard College on Cape Breton Island (Nova Scotia, Canada). It presents a broad picture of the current research surrounding applications of dynamical systems in biology, particularly in population biology.

The book contains 19 papers and includes articles on the qualitative and/or numerical analysis of models involving ordinary, partial, functional, and stochastic differential equations. Applications include epidemiology, population dynamics, and physiology.

The material is suitable for graduate students and research mathematicians interested in ordinary differential equations and their applications in biology. Also available by Ruan, Wolkowicz, and Wu is Differential Equations with Applications to Biology, Volume 21 in the AMS series, Fields Institute Communications.

Readership

Graduate students and research mathematicians interested in ordinary differential equations and their applications.

  • Chapters
  • Julie Atamanyk and William Langford - A compartmental model of Cheyne-Stokes respiration
  • M. Bachar and O. Arino - Integrated semigroup and linear ordinary differential equation with impulses
  • Chris Bauch and David Earn - Interepidemic intervals in forced and unforced SEIR models
  • Edoardo Beretta, Hirotatsu Sakakibara and Yasuhiro Takeuchi - Stability analysis of time delayed chemostat models for bacteria and virulent phage
  • Janet Best, Carlos Castillo-Chavez and Abdul-Aziz Yakubu - Hierarchical competition in discrete time models with dispersal
  • Fred Brauer - Stability and instability theorems for a characteristic equation arising in epidemic modeling
  • Fred Brauer and P. van den Driessche - Some directions for mathematical epidemiology
  • Yuming Chen - Global attractivity of a population model with state-dependent delay
  • Zhilan Feng, Yingfei Yi and Huaiping Zhu - Metapopulation dynamics with migration and local competition
  • S. Gourley - Oscillations and convergence in a harvesting model with sawtooth delay
  • Weigu Li and Meirong Zhang - Rigidity for differentiable classification of one-dimensional dynamical systems
  • Xinzhi Liu - Management of biological populations via impulsive control
  • C. McCluskey - Stability for a class of three-dimensional homogeneous systems
  • Israel Ncube, Sue Campbell and Jianhong Wu - Change in criticality of synchronous Hopf bifurcation in a multiple-delayed neural system
  • Yasuhisa Saito and Yasuhiro Takeuchi - Sharp conditions for global stability of Lotka-Volterra systems with delayed intraspecific competitions
  • Hal Smith and Bingtuan Li - Competition for essential resources: A brief review
  • X. Tang, Lin Wang and Xingfu Zou - 3/2 type criteria for global attractivity of Lotka-Volterra discrete system with delays
  • P. van den Driessche and James Watmough - Epidemic solutions and endemic catastrophies
  • Xiao-Qiang Zhao - Persistence in almost periodic predator-prey reaction-diffusion systems
  • This volume is a highly selective and carefully edited piece ... a collection of well-written and balanced articles by ... well-known researchers at the interface of biomathematics and dynamical systems ... the work represents frontiers or emerging frontiers of biomathematics research.

    SIAM Review
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