Complex Dynamics Analysis of a Discrete Amensalism System with a Cover for the First Species

Of interest is the dynamics of discrete-time amensalism model with a cover on first species. We obtain existence and stability fixed points conditions for permanent coexistence two Then we demonstrate occurrence flip bifurcation by using central manifold theorem theory. A hybrid control strategy used to stabilize unstable periodic orbits embedded in complex attractor. Numerical simulation verifies feasibility theoretical analysis reveals some novel exciting dynamic phenomena.