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Cover image for product 1119483956
Moghadas
ISBN: 978-1-119-48395-3
Hardcover
250 pages
October 2018
This is an out of stock title.
  • Description
This book covers both analytical and computational aspects of mathematical modelling in a single textbook for a wide range of subjects. The book contains nine chapters, starting with a chapter that provides the basic concepts of mathematical modelling, and a brief review of the relevant topics from differential equations and linear algebra. Chapters 2 to 5 elaborate on different types of mathematical models, and describe various techniques from dynamical systems theory for their analysis with a variety of examples. The analytical techniques are concerned with compartmental modelling, stability, bifurcation, discretization, and fixed-point analysis. The theoretical analyses in these chapters primarily involve systems of ordinary differential equations for deterministic models. Chapter 6 briefly reviews the concepts of probability and random variables as the requirements of stochastic processes and Markov chain presented in Chapter 7. In Chapter 8, the authors describe algorithms for computer simulation of both deterministic and stochastic models, and provide examples of models with Matlab codes for simulation experiments. Finally, in Chapter 9, a number of well-known models are detailed to illustrate their application in different fields of study. Each chapter contains a number of exercises to help students better understand the modelling process, and develop enquiring and creative minds in this important subject. 
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