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Dynamical Systems for Biological Modeling: An Introduction [Pehme köide]

(University of British Columbia, Vancouver, Canada), (University of Texas at Arlington, USA)
  • Formaat: Paperback / softback, 492 pages, kõrgus x laius: 234x156 mm, kaal: 798 g, 220 Illustrations, black and white
  • Sari: Advances in Applied Mathematics
  • Ilmumisaeg: 14-Oct-2024
  • Kirjastus: Chapman & Hall/CRC
  • ISBN-10: 1032919329
  • ISBN-13: 9781032919324
Teised raamatud teemal:
  • Formaat: Paperback / softback, 492 pages, kõrgus x laius: 234x156 mm, kaal: 798 g, 220 Illustrations, black and white
  • Sari: Advances in Applied Mathematics
  • Ilmumisaeg: 14-Oct-2024
  • Kirjastus: Chapman & Hall/CRC
  • ISBN-10: 1032919329
  • ISBN-13: 9781032919324
Teised raamatud teemal:

This book prepares both biology and mathematics students with the understanding and techniques necessary to undertake basic modeling of biological systems. Its approach emphasizes qualitative ideas rather than explicit computations and does not overwhelm students with precise technical details. The book discusses a variety of biological modeling



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.

ELEMENTARY TOPICS. Introduction to Biological Modeling. Difference
Equations (Discrete Dynamical Systems). First-Order Differential Equations
(Continuous Dynamical Systems). Nonlinear Differential Equations. MORE
ADVANCED TOPICS. Systems of Differential Equations. Topics in Modeling
Systems of Populations. Systems with Sustained Oscillations and
Singularities. APPENDICES. An Introduction to the Use of MapleTM. Taylors
Theorem and Linearization. Location of Roots of Polynomial Equations.
Stability of Equilibrium of Difference Equations. Answers to Selected
Exercises. Bibliography.
Fred Brauer, PhD, University of British Columbia, Vancouver, Canada

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