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sex-structured population dynamics

Mathematical Modelling of Natural Phenomena (1)

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Mathematical Modeling Describing the Effect of Fishing andDispersion on Hermaphrodite Population Dynamics
S. Ben Miled, A. Kebir, M. L. Hbid
Journal:

Mathematical Modelling of Natural Phenomena / Volume 5 / Issue 6 / 2010

Published online by Cambridge University Press:

13 September 2010, pp. 159-179

Print publication:

2010
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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.