Mathematical Modelling of Systems and Analysis

Contents: Preface. 1. Introduction to Theory of Systems. 2. Classification and Representations of Systems. 3. Mathematical Modelling of Systems. 4. Representation a Family of Curves Using Ordinary Differential Equations. 5. System Modelling Using Difference Equations and Ordinary Differential Equations. 6. Mathematical Modelling Using Balance Laws. 7. Mathematical Modelling of Chemical Reactions. 8. Mathematical Modelling of Population Dynamics. 9. Mathematical Modelling Using The Calculus of Variations. 10. Stability Theory. 11. State Space Models and Transfer Functions. 12. System Identification. 13. Parameter Estimation Techniques. References. Index. This book is written with the ideology of providing a simple yet concise explanation on the art of developing mathematical models. This lively and engaging text explicates the basics of mathematical modelling, with special focus on its applications and analysis. Organised in thirteen chapters, the book emphasises the theory and classification of systems, modelling using ordinary differential equations, calculus of variations, stability analysis, system identification and parameter estimation techniques. Also, it includes examples from the areas of mechanics, chemical reactions, biology, population dynamics, epidemiology, and other allied fields of science, engineering and technology. This book is primarily designed for the postgraduate students of mathematics as well as for the undergraduate and postgraduate engineering students of various disciplines for their paper on Modelling and Simulation/Mathematical Modelling and Simulation/Mathematical Modelling. (jacket).…