STABILITY ANALYSIS OF AN ECOLOGICAL SYSTEM CONSISTING OF A PREDATOR AND STAGE STRUCTURED PREY

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.