An Application of Eigen Value and Eigen Vector to Discrete Dynamical System

Dr. Ram Lakhan Sah

Abstract: Eigen value and eigen vectors have a variety of applications in physical and biological sciences. Dynamical system of Markov chain plays very important role in the study of behavior of phenomena in different areas of Physics, Chemistry, Biology, Testing, Queueing Theory, Computer and Information Technology. In this paper, we discuss an application of eigen values and eigen vectors to predator-prey dynamical system.

Keywords: Eigen value, Eigen vector, Markov chain, Probability vector, Stochastic matrix