Open AccessStability, Bifurcation, Chaos : Discrete Prey Predator Model with Step Size
Publication year - 2019
Publication title -
international journal of innovative technology and exploring engineering
Language(s) - English
Resource type - Journals
ISSN - 2278-3075
DOI - 10.35940/ijitee.a4866.119119
Subject(s) - phase portrait , lyapunov exponent , bifurcation , mathematics , bifurcation diagram , chaotic , saddle node bifurcation , period doubling bifurcation , statistical physics , stability (learning theory) , control theory (sociology) , physics , computer science , nonlinear system , control (management) , quantum mechanics , artificial intelligence , machine learning
In this work titled Stability, Bifurcation, Chaos: Discrete prey predator model with step size, by Forward Euler Scheme method the discrete form is obtained. Equilibrium states are calculated and the stability of the equilibrium states and dynamical nature of the model are examined in the closed first quadrant 2 R with the help of variation matrix. It is observed that the system is sensitive to the initial conditions and also to parameter values. The dynamical nature of the model is investigated with the assistance of Lyapunov Exponent, bifurcation diagrams, phase portraits and chaotic behavior of the system is identified. Numerical simulations validate the theoretical observations.