Title of article :
Analysis of a harvested discrete-time biological models
Author/Authors :
Al-Nassir, Sadiq Department of Mathematics - College of Science - University of Baghdad, Baghdad, Iraq , Hussein Lafta, Alaa Department of Mathematics - College of Science - University of Baghdad, Baghdad, Iraq
Abstract :
This work aims to analyze a three-dimensional discrete-time biological system, a prey-predator model with a constant harvesting amount. The stage structure lies in the predator species. This analysis is done by finding all possible equilibria and investigating their stability. In order to get an optimal harvesting strategy, we suppose that harvesting is to be a non-constant rate. Finally, numerical simulations are given to confirm the outcome of mathematical analysis.
Keywords :
Prey-predator model , Optimal control , Stage structure model , optimal Harvesting
Journal title :
International Journal of Nonlinear Analysis and Applications
