First Course in Mathematical Models of Population Growth (with MATLAB Programs)

by Ranganathan, C R

ISBN: 9789354617867
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Imprint : Associated Publishing Company
Year : 2024
Price : Rs. 12195.00
Biblio : xviii+330p., tabls., figs., ind., 25 cm

Author Profile

C .R. Ranganathan is now Professor of Mathematics and formerly the Head, Department of Physical Sciences and Inrfomation Technology, Tamil Nadu Agricutural University (TNAU), Coimbatore. He received his Ph.D. Degree in Mathematics from Indian Institute of Technology, Madras.

About The Book

This book attempts to present in a systematic way the most common and elementary models of Population growth. In this book the term population is used in a very general sense and hence the models can be applied to study the evolution of any type of biological organism. In each chapter the models are arranged in the order of mathematical complexity. The first chapter presents an overview of mathematical models and their characteristics. Chapter 2 discusses at length various discrete models of population growth. While chapter 3 discusses the classical deterministic models, chapter 4 includes extensions and recent modifications of the models presented in the previous chapter. The qualitative solutions of the models, which are sometimes more valuable and useful than quantitative solutions, are included in chapter 5. Properties of the logistic map, bifurcation diagrams, Feigenbaum constant, an introduction to Chaos and Lyapunov exponent are some of the topics covered in this chapter Chapter 6 is devoted to classical models of interaction between two different species. Chapter 7 presents models on human and plant epidemiology. Finally, chapter 8 presents an introduction to stochastic models. The book can be prescribed for on e semester course for postgraduate students or as an elective subject at advanced undergraduate level.