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Mathematical Modeling Describing the Effect of Fishing andDispersion on Hermaphrodite Population Dynamics

Published online by Cambridge University Press:  13 September 2010

S. Ben Miled ,
A. Kebir  and
M. L. Hbid
S. Ben Miled*
Affiliation:
ENIT-LAMSIN, University of Tunis el Manar, BP 37, 1002 Tunis Belvédère, Tunisia Institut Pasteur de Tunis, B.P. 74, 1002 Tunis Belvédère, Tunisia
A. Kebir
Affiliation:
Institut Pasteur de Tunis, B.P. 74, 1002 Tunis Belvédère, Tunisia LMDP, Cadi Ayyad University, BP 2390 Marrakech 4000, Morocco
M. L. Hbid
Affiliation:
LMDP, Cadi Ayyad University, BP 2390 Marrakech 4000, Morocco
*
*Corresponding author: E-mail:[email protected]
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Abstract

In order to study the impact of fishing on a grouper population, we propose in this paperto model the dynamics of a grouper population in a fishing territory by using structuredmodels. For that purpose, we have integrated the natural population growth, the fishing,the competition for shelter and the dispersion. The dispersion was considered as aconsequence of the competition. First we prove, that the grouper stocks may be lesssensitive to the removal of large male individuals if female population are totallyprotected. Second, we show that fishing does not disturb the demographic structure of thepopulation. Finally, we prove that female selective fisheries have the potential ofdrastically reduce reproductive rates. We also prove that male fishing decreasescompetition and then increases the total population number.

Keywords

grouperfishingcompetition for shelterssex-structured population dynamicsdensity dependence
Type
Research Article
Information
Mathematical Modelling of Natural Phenomena , Volume 5 , Issue 6: Ecology (Part 2) , 2010 , pp. 159 - 179
Copyright
© EDP Sciences, 2010

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