MODELING AND SIMULATION (Optional Paper)

Introduction to modeling and simulation. Definition of System, classification of systems, classification and limitations of mathematical models and its relation to simulation, Methodology of model building
 

Modeling through differential equation: linear growth and decay models, non linear growth and decay models, Logistic Model, Basic Model relevant to Population dynamics, modeling through graphs.
 

Compartment models. :  One- Compartment models and Two- Compartment models. Equilibrium solution, Stability analysis, model validity & verification of models (Model V&V).
 

Mathematical modeling through second order differential equation:-SI Model, SIR Model with and without vaccination, Partial differential equation: mass and momentum balance equations.
 

Basic concepts of simulation languages, overview of numerical methods used for continuous simulation, Stochastic models, Monte Carlo methods.