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A RATIO-DEPENDENT PREDATOR-PREY MODEL WITH DELAY AND HARVESTING

A. K. MISRA

Department of Mathematics, Faculty of Science, Banaras Hindu University (BHU), Varanasi–221 005, India

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and

B. DUBEY

Department of Mathematics, Birla Institute of Technology and Science (BITS), Pilani–333 031, India

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https://doi.org/10.1142/S021833901000341XCited by:26 (Source: Crossref)

Abstract

In this paper a predator-prey model with discrete delay and harvesting of predator is proposed and analyzed by considering ratio-dependent functional response. Conditions of existence of various equilibria and their stability have been discussed. By taking delay as a bifurcation parameter, the system is found to undergo a Hopf bifurcation. Numerical simulations are also performed to illustrate the results.

Keywords:

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