Dynamical analysis of a three-species discrete biological system with scavenger

Abstract

The main focus of this paper is to investigate the dynamical properties of a discrete prey–predator model with scavenger in the interior of R+3. We have explored the local dynamics at equilibria, the existence of bifurcation sets under certain conditions, bifurcation analysis, and chaos control of a three-species discrete prey–predator system with scavenger. By the bifurcation theory, we explored the existence of bifurcations and gave a detailed bifurcation analysis at equilibria accordingly. We also studied the chaos control by feedback control strategy for under-studied discrete system. Some numerical simulations are also presented which verified the theoretical results. The phase portraits, Maximum Lyapunov exponents, time series graphs, and bifurcation diagrams of numerical simulation for discrete system are plotted by using the software Matlab/Mathematica. Finally, theoretical results are interpreted biologically.