Mathematical Modeling Edition 2

Mathematical Representation: Patterns, Evaluation and Utilization, Second Edition introduces patterns of both discrete and continuous methods. This book is for beginners who wish to study mathematical representation, particularly students taking a fundamental course in the subject. Starting with the gradual guidance of model formulation, this book educates the reader about modeling with difference equations (discrete patterns), ODE’s, PDE’s, delay and stochastic differential equations (continuous patterns). This book offers interdisciplinary and integrative review of mathematical representation, making it a comprehensive textbook for a broad audience.

A distinctive feature of the book is the breadth of coverage of various examples on mathematical modeling, which include population patterns, financial patterns, arms race patterns, conflict patterns, learning pattern, alcohol dynamics pattern, carbon dating, drug distribution patterns, mechanical oscillation patterns, epidemic patterns, tumor patterns, traffic flow patterns, crime flow patterns, spatial patterns, soccer team performance pattern, respiratory pattern, two neuron system pattern, zombie pattern and pattern on amorous affairs. Common themes such as equilibrium points, stability, phase plane analysis, bifurcations, limit cycles, period doubling and chaos run through several chapters and their interpretations in the context of the model have been highlighted. In chapter 3, a segment on estimation of system parameters with real life data for model validation has also been discussed.