An integrated project of fishery and poultry

This paper considers a joint project of fishery and poultry in which the growth rates of both species vary with available nutrients and environmental carrying capacities of biomasses. The nutrients for both species are functions of the biomasses of the two species. The harvesting rates of fish and birds of poultry depend nonlinearly on common effort function. The existence of steady states and their stability (local and global) are investigated analytically. The joint profit of the project is maximized, using Pontryagin’s maximum principle. The model is also illustrated by suitable numerical examples.