Differential Equations and Mathematical Biology

The book is written with two aims: firstly, to be an introduction both to ordinary and partial differential equations; secondly, to present main ideas on how to model deterministic (and mostly continuous) processes in biology, physiology and ecology. The style of writing is subordinated to these purposes. It is remarkable that without the classical scheme (definition, theorem and proof) it is possible to explain rather deep results like properties of the Fitz-Hugh-Nagumo model of nerve impulse transmission or the Turing model of pattern formation. This feature makes the reading of this text pleasant business for mathematicians also. There exists a similar book written by J. D. Murray (Mathematical Biology), which contains more biological models. In comparison with it, the book under review is also a textbook on differential equations. It can be recommended for students of mathematics who like to see applications, because it introduces them to problems on how to model processes in biology, and also for theoretically oriented students of biology, because it presents constructions of mathematical models and the steps needed for their investigations in a clear way and without references to other books.

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