Discretization and chaos control in a fractional order predator-prey harvesting model

The study of interaction between predator and prey species is one the important subjects in mathematical biology. Optimal strategy control plays a vital role preserving animals from extinction. Harvesting issue for conservation biologists. In this work, we investigate bifurcation chaos two model fractional order discrete time with harvesting both species. Existence results stability conditions system are analyzed using fixed points jacobian matrix. chaotic behavior discussed diagrams. Linear hybrid methods used controlling system. Numerical experiments different phase portraits simulated better understanding qualitative considered model.