Qualitative Study of a Discrete-Time Harvested Fishery Model in the Presence of Toxicity

Authors : Debasis MUKHERJEE

Pages : 65-75

Doi:10.33187/jmsm.1177403

View : 27 | Download : 50

Publication Date : 2023-08-07

Article Type : Research Paper

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