Title of article :
STABILITY ANALYSIS OF AN ECOLOGICAL SYSTEM CONSISTING OF A PREDATOR and STAGE STRUCTURED PREY
Author/Authors :
Naji, Raid Kamel University of Baghdad - College of Science - Department of Mathematics, Iraq , Majeed, Azhar Abbas University of Baghdad - College of Science - Department of Mathematics, Iraq
Abstract :
In this paper, a mathematical model, consists from a predator interacting with stage structured prey, is proposed and analyzed. The existence, uniqueness and boundedness of the solution of the proposed model are discussed. The existence and the stability analyses of all possible equilibrium points are studied. The global stability of these equilibrium points are performed with suitable Lyapunov functions. Finally, the dynamical behavior of the model is investigated numerically.
Keywords :
ECOLOGICAL SYSTEM , CONSISTING , PREDATOR and STAGE STRUCTURED PREY
Journal title :
Iraqi Journal Of Science
Journal title :
Iraqi Journal Of Science
