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

¹ ENIT-LAMSIN, University of Tunis el Manar, BP 37, 1002 Tunis Belvédère, Tunisia
² Institut Pasteur de Tunis, B.P. 74, 1002 Tunis Belvédère, Tunisia
³ LMDP, Cadi Ayyad University, BP 2390 Marrakech 4000, Morocco

^* Corresponding author: E-mail: slimane.benmiled@pasteur.rns.tn

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.