Bioeconomic Modelling of a Low Growth Rate Fish Species Obeying Modified Logistic Growth Function: A Comparative Study With Schaefer Model

Tarun Pradhan¹

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.6 , pp.59-67, Dec-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i6.5967

Online published on Dec 31, 2018

Copyright © Tarun Pradhan . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
 

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Abstract :
This paper develops a mathematical model for growth and exploitation of a fish species obeying modified logistic growth function. A low growth rate species compared to the growth rate which is directly proportional to the population density is considered. Considering the harvesting rate as the catch-per-unit-effort (CPUE) hypothesis, conditions for existence of the biological equilibrium and the bioeconomic equilibrium are studied. Maximum sustainable yield is discussed with graphical representation. The nature of stability of the dynamical and the bionomic steady states are also examined. The results are compared with those of the Schaefer model. The results are illustrated and explained with the help of numerical example.

Key-Words / Index Term :
Modified logistic growth functions; maximum sustainable yield; bioeconomic equilibrium; catch-per-unit-effort hypothesis; Schaefer model; biotechnical productivity

References :
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