Mathematical Modeling Describing the Effect of Fishing and Dispersion on Hermaphrodite Population Dynamics

S. Ben Miled; A. Kebir; M. L. Hbid

Mathematical Modelling of Natural Phenomena (2010)

  • Volume: 5, Issue: 6, page 159-179
  • ISSN: 0973-5348

Abstract

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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.

How to cite

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Ben Miled, S., Kebir, A., and Hbid, M. L.. "Mathematical Modeling Describing the Effect of Fishing and Dispersion on Hermaphrodite Population Dynamics." Mathematical Modelling of Natural Phenomena 5.6 (2010): 159-179. <http://eudml.org/doc/197661>.

@article{BenMiled2010,
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.},
author = {Ben Miled, S., Kebir, A., Hbid, M. L.},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {grouper; fishing; competition for shelters; sex-structured population dynamics; density dependence},
language = {eng},
month = {9},
number = {6},
pages = {159-179},
publisher = {EDP Sciences},
title = {Mathematical Modeling Describing the Effect of Fishing and Dispersion on Hermaphrodite Population Dynamics},
url = {http://eudml.org/doc/197661},
volume = {5},
year = {2010},
}

TY - JOUR
AU - Ben Miled, S.
AU - Kebir, A.
AU - Hbid, M. L.
TI - Mathematical Modeling Describing the Effect of Fishing and Dispersion on Hermaphrodite Population Dynamics
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/9//
PB - EDP Sciences
VL - 5
IS - 6
SP - 159
EP - 179
AB - 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.
LA - eng
KW - grouper; fishing; competition for shelters; sex-structured population dynamics; density dependence
UR - http://eudml.org/doc/197661
ER -

References

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