"Compartmental Modeling with Networks" provides a thorough and comprehensive guide for compartmental models, model construction and interdisciplinary applications. Compartmental models, or flow models, are used when there is a flow of information or materials, such as fluids, money, energy, and resources between the components of a given system or network. They are widely used in biomedicine and ecology yet have great utility in other disciplines i.e. input-output analysis, competition models, epidemiology, networks, and genetics.
In order to provide a balanced presentation, the book is divided into four parts. Part One is devoted to the structure of the models as represented by directed graphs; part two addresses Markov Chains; part three is devoted to diverse applications; while part four covers the theoretical aspects of compartmental models. All topics, models, and methods are presented in a clear, accessible style with many helpful examples and background information.
Topics and Features:
Self contained introduction to graph theory;
Includes coverage of both discrete and continuous models applications;
Selected examples using computational program, MAPLE, in graph theory and matrix algebra problems;
Use of wide variety of interdisciplinary applications and realistic models.
This book is an essential text/reference for all advanced students, practitioners and professionals in applied mathematics and sciences that are in need of greater understanding and skills in using compartmental models in their work and research.
Series: Modeling and Simulation in Science, Engineering and Technology
