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Dynamical Models in Biology - 1st Edition - ISBN: 9780122491030, 9780080530604

Dynamical Models in Biology

1st Edition

Author: Miklós Farkas
Hardcover ISBN: 9780122491030
eBook ISBN: 9780080530604
Imprint: Academic Press
Published Date: 22nd May 2001
Page Count: 187
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Dynamic Models in Biology offers an introduction to modern mathematical biology. This book provides a short introduction to modern mathematical methods in modeling dynamical phenomena and treats the broad topics of population dynamics, epidemiology, evolution, immunology, morphogenesis, and pattern formation.

Primarily employing differential equations, the author presents accessible descriptions of difficult mathematical models. Recent mathematical results are included, but the author's presentation gives intuitive meaning to all the main formulae. Besides mathematicians who want to get acquainted with this relatively new field of applications, this book is useful for physicians, biologists, agricultural engineers, and environmentalists.

Key Topics Include:

  • Chaotic dynamics of populations
  • The spread of sexually transmitted diseases
  • Problems of the origin of life
  • Models of immunology
  • Formation of animal hide patterns
  • The intuitive meaning of mathematical formulae explained with many figures
  • Applying new mathematical results in modeling biological phenomena

Miklos Farkas is a professor at Budapest University of Technology where he has researched and instructed mathematics for over thirty years. He has taught at universities in the former Soviet Union, Canada, Australia, Venezuela, Nigeria, India, and Columbia. Prof. Farkas received the 1999 Bolyai Award of the Hungarian Academy of Science and the 2001 Albert Szentgyorgyi Award of the Hungarian Ministry of Education.

Key Features

  • A 'down-to-earth' introduction to the growing field of modern mathematical biology
  • Also includes appendices which provide background material that goes beyond advanced calculus and linear algebra


Graduate students in mathematics, biomathematics, theoretical biology and agricultural engineering. Researcheres in environmental science, medicine, biology, genetics, and embryology

Table of Contents


Discrete Population Models
Population Dynamics in Continuous Time
Evolution and Population Genetics
Morphogenesis and Pattern Formation

Appendix 1 Discrete Mathematics
Appendix 2 Ordinary Differential Equations
Appendix 3 Partial Differential Equations
Appendix 4 Riemannian Geometry



No. of pages:
© Academic Press 2001
22nd May 2001
Academic Press
Hardcover ISBN:
eBook ISBN:

About the Author

Miklós Farkas

Miklos Farkas received his Ph.D. in applied mathematics at Eötvös Loránd University of Budapest. He has been a professor of mathematics for over 30 years and has published a number of books and nearly 80 research papers. His research interest include stability theory nolinear oscillations, bifurcations, and population dynamics. He received the Bolyai Award of the Hungarian Academy of Science in 1999.

Affiliations and Expertise

Budapest University of Technology,Hungary

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