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Mathematical Modeling Describing the Effect of Fishing and Dispersion 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: slimane.benmiled@pasteur.rns.tn
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Abstract

In order to study the impact of fishing on a grouper population, we propose in this paper to model the dynamics of a grouper population in a fishing territory by using structured models. For that purpose, we have integrated the natural population growth, the fishing, the competition for shelter and the dispersion. The dispersion was considered as a consequence of the competition. First we prove, that the grouper stocks may be less sensitive to the removal of large male individuals if female population are totally protected. Second, we show that fishing does not disturb the demographic structure of the population. Finally, we prove that female selective fisheries have the potential of drastically reduce reproductive rates. We also prove that male fishing decreases competition 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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