2006/01/23 by Lev Idels, Mei Wang, Idels, Lev +1
Environmental Science · Mathematics · Medicine · #34A37 #34D #34K20 #Dynamical Systems (math.DS) #FOS: Mathematics #Marine and fisheries research #Mathematical and Theoretical Epidemiology and Ecology Models #math.DS #msc:34A37 #msc:34D #msc:34K20
paper · pdf · doi:10.48550/arxiv.math/0601539
16 pages and 20 figures
openalex publication_date 2006/01/23 · arxiv created 2006/01/24 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.