Modelling Population Dynamics

by Thomas Witelski (Author), Mark Bowen (Author)
Provides a self-contained and accessible introduction to mathematical modelling using ordinary and partial differential equations
Presents key approaches for formulating models and solution techniques via asymptotic analysis
Includes many challenging exercises and connections to classic models in applied mathematics including the Burgers equation, the Korteweg de Vries equation, Euler-Lagrange equations, pattern formation via Turing instabilities
Demonstrates a variety of solution techniques including boundary layer theory, self-similar solutions, fast/slow dynamical systems, and multiple scale analysis

This book presents the theory and practical applications of the Master equation approach, which provides a powerful general framework for model building in a variety of disciplines. The aim of the book is to not only highlight different mathematical solution methods, but also reveal their potential by means of practical examples.

This book presents a collection of original research papers from the 2nd International Conference on Mathematical and Related Sciences, held in Antalya, Turkey, on 27 – 30 April 2019 and sponsored/supported by Düzce University, Turkey; the University of Jordan; and the Institute of Applied Mathematics, Baku State University, Azerbaijan.