Harvesting Fisheries Management Strategies With Modified Effort Function

Details Harvesting Fisheries Management Strategies With Modified Effort Function Harvesting Fisheries Management Strategies With Modified Effort Function

2006-01-23

arxiv.org/abs/math/0601539v2

Mathematics

Dynamical Systems

16 pages and 20 figures

Scientific paper

In traditional harvesting model a fishing effort E is defined by the fishing intensity and does not address the inverse effect of fish abundance on the fishing effort. In this paper, based on a canonical differential equation model, we developed a new fishing effort model which relies on the density effect of fish population. We obtained new differential equations to describe certain standard Fisheries management strategies. This study concludes a control parameter(the magnitude of the effect of the fish population size on the fishing effort function E), changes not only the rate at which the population goes to equilibrium, but also the equilibrium values. To examine systematically the consequences of different harvesting strategies, we used numerical simulations and qualitative anlysis of six fishery strategies, e.g., proportional harvesting, threshold harvesting, proportional threshold harvesting, seasonal and rotational harvestinng.

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