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. ‫ذات‬ ‫وﻓرﯾﺳﺔ‬ ‫ﻣﻔﺗرس‬ ‫ﻣن‬ ‫ﯾﺗﻛون‬ ‫ﺑﯾﺋﻲ‬ ‫ﻟﻧظﺎم‬ ‫ارﯾﺔ‬ ‫اﻻﺳﺗﻘر‬ ‫ﺗﺣﻠﯾل