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Effect of nonlinear harvesting on a prey-predator ecological system with Monod-Haldane functional response

Nurul Huda Gazi, Md. Reduanur Mandal, Sahabuddin Sarwardi

Abstract



In this paper, we consider a two dimensional prey-predator model. The interaction among the species are considered as the Monod-Haldane functional response. The species are
harvested and the type of harvest is nonlinear. We study the several qualitative features of the harvested model system. In particular, the mathematical features like local stability, global stability, oscillation of the population due to bifurcation of the population are conducted. The analysis is carried out to determine the rate of harvesting for sustainable yield.

Keywords


Monod-Haldane system, Stability; Hopf bifurcation; Limit Cycle, Optimal harvestig , Numerical Simulations.

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