Effort dynamics of tilapia – Nile perch fishery model in polluted environment of Tanzanian waters of Lake Victoria

Abstract

In this paper we analyse the effort dynamics model for Tilapia (Oreochromis niloticus) – Nile perch (Lates niloticus) fishery in polluted environment of Tanzanian waters of Lake Victoria. The model is analysed to get the maximum sustainable yield (MSY) points and the corresponding conditions for their existence have been established. The equilibrium points of the model are found with the conditions for their existence being established. The stability analysis of the interior equilibrium point has been investigated by using Routh – Hurwitz criteria method. Later, numerical simulations and their corresponding graphs are presented. It was revealed that the water pollution has significant effects to the maximum sustainable yields of both Tilapia and Nile perch produces. This effect also manifests the rapid changes of efforts invested in harvested the two species at the interior equilibrium point.