Dynamical Systems for Biological Modeling
An Introduction
Seiten
2015
Chapman & Hall/CRC (Verlag)
978-1-4200-6641-8 (ISBN)
Chapman & Hall/CRC (Verlag)
978-1-4200-6641-8 (ISBN)
Presents the techniques required to undertake basic modeling of biological systems through the development and analysis of dynamical systems. This title includes different types of applications from population biology and epidemiology. It provides examples of problems with solutions followed by exercises to reinforce the examples.
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.
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
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. Taylor’s Theorem and Linearization. Location of Roots of Polynomial Equations. Stability of Equilibrium of Difference Equations. Answers to Selected Exercises. Bibliography.
| Erscheint lt. Verlag | 22.12.2015 |
|---|---|
| Reihe/Serie | Advances in Applied Mathematics |
| Zusatzinfo | 9 Tables, black and white; 220 Illustrations, black and white |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Gewicht | 816 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 1-4200-6641-2 / 1420066412 |
| ISBN-13 | 978-1-4200-6641-8 / 9781420066418 |
| Zustand | Neuware |
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