The process of developing a mathematical model is known as mathematical modeling. It is characterization of system that uses mathematical concepts and languages. Mathematical models are used in natural science such as physics, chemistry, earth science and biology. They are also used in social sciences such as political science, sociology, economics and psychology. Dynamical systems, statistical models, differential equations or game theoretic models are some forms of mathematical models. There are two primary mathematical modeling problems which are classified as black box models or white box models. A black-box model is a system of model in which there is no priori information available, whereas a white-box model is a system where all necessary information is available. This book contains some path-breaking studies in the field of mathematical modeling. The various advancements in mathematical modeling and analysis are glanced at and their applications as well as ramifications are looked at in detail. For all those who are interested in this discipline, this book can prove to be an essential guide.