Selective harvesting in a prey-predator fishery with time delay

doi:10.1016/S0895-7177(03)90099-9

Mathematical and Computer Modelling

Volume 38, Issues 3–4, August 2003, Pages 449-458

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Abstract

In this paper, we have considered a prey-predator fishery model and discussed the selective harvesting of fishes above a certain age or size by incorporating a time delay in the harvesting term. It is shown that the time delay can cause a stable equilibrium to become unstable and even a switching of stabilities. Computer simulations are carried out to explain some mathematical conclusions.

Keywords

Prey-predator

Fishery

Selective harvesting

Time delay

Hopf bifurcation

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^∗: The author would like to thank Prof. K. S. Chaudhuri for his valuable suggestions during the preparation of this work.