Dynamical Systems for Biological Modeling

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A01=Christopher Kribs
A01=Fred Brauer
advanced biological systems modeling
Asymptotic Stability
Author_Christopher Kribs
Author_Fred Brauer
Beverton Holt Model
Bifurcation Diagram
Biological Modeling
Boundary Layer System
Carrying Capacity
Category=PBKJ
Computer Algebra System
Continuous Dynamical Systems
Difference Equations
Discrete Dynamical Systems
Endemic Equilibrium
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Extinction Equilibrium
Fitzhugh Nagumo
Fitzhugh Nagumo Model
Fitzhugh Nagumo System
Globally Asymptotically Stable
harvesting strategies
immunology modeling
Linear System
Linearization Theorem
Locally Asymptotically Stable
Logistic Difference Equation
Logistic Equation
mathematical biology
Modeling Systems Of Populations
Modified Euler Method
Nonlinear Differential Equations
Ordinary Differential Equations
Phase Portrait
population dynamics
Positive Equilibrium
predator prey analysis
Saddle Node Bifurcation
Singular Perturbation
structured population models
Systems With Sustained Oscillations And Singularities
Van Der Pol Equation

Product details

  • ISBN 9781420066418
  • Weight: 860g
  • Dimensions: 156 x 234mm
  • Publication Date: 22 Dec 2015
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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Dynamical Systems for Biological Modeling: An Introduction prepares both biology and mathematics students with the understanding and techniques necessary to undertake basic modeling of biological systems. It achieves this through the development and analysis of dynamical systems.

The approach emphasizes qualitative ideas rather than explicit computations. Some technical details are necessary, but a qualitative approach emphasizing ideas is essential for understanding. The modeling approach helps students focus on essentials rather than extensive mathematical details, which is helpful for students whose primary interests are in sciences other than mathematics need or want.

The book discusses a variety of biological modeling topics, including population biology, epidemiology, immunology, intraspecies competition, harvesting, predator-prey systems, structured populations, and more.

The authors also include examples of problems with solutions and some exercises which follow the examples quite closely. In addition, problems are included which go beyond the examples, both in mathematical analysis and in the development of mathematical models for biological problems, in order to encourage deeper understanding and an eagerness to use mathematics in learning about biology.

Fred Brauer, PhD, University of British Columbia, Vancouver, Canada

Christopher Kribs, PhD, University of Texas at Arlington, USA

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