Qualitative study of a discrete-time harvested fishery model in the presence of toxicity

This paper analyses a discrete-time Michaelis-Menten type harvested fishery model in the presence of toxicity. Boundary and interior (positive) fixed points are examined. Using an iteration scheme comparison principle difference equations, we determined sufficient condition for global stability point. It is shown that criterion Neimark-Sacker bifurcation flip can be established. observed system behaves chaotic manner when specific set parameters selected, which controlled by hybrid control method. Examples cited to illustrate our conclusions