Subscribe Now Subscribe Today
Science Alert
Curve Top
Trends in Applied Sciences Research
  Year: 2007 | Volume: 2 | Issue: 4 | Page No.: 271-283
DOI: 10.3923/tasr.2007.271.283
Facebook Twitter Digg Reddit Linkedin StumbleUpon E-mail

Sustainable Management of a Fishery with a Strong Allee Effect

T.K. Kar and H. Matsuda

Traditional models of population growth assume that reducing the density will always result in the same or higher per-capita growth. This implies that populations are resilient, allowing them to recover rapidly when the factors that caused their decline are removed (e.g., fishing). However some populations experience reduced rates of survival and reproduction when reduced to very low densities. This reduced per-capita growth rate at low densities is called depensation. In this study we have considered a prey-predator model with strong Allee effect. We obtain the conditions for the existence of biological equilibrium and its stability is discussed. We have also discussed the bifurcation analysis of the model under different scenario. The bioeconomic models herein proposed, based on optimal control theory, can form a basis for more sustainable management. Mathematics Subject Classifications (2000): 34K20, 37G15, 49J15
PDF Fulltext XML References Citation Report Citation
  •    A Univariate Stochastic Gompertz Model for Tree Diameter Modeling
How to cite this article:

T.K. Kar and H. Matsuda , 2007. Sustainable Management of a Fishery with a Strong Allee Effect. Trends in Applied Sciences Research, 2: 271-283.

DOI: 10.3923/tasr.2007.271.283






Curve Bottom