Title: Dynamical Analysis of a Stage-Structured Predator-Prey System with General Ratio-Dependent Functional Response
Abstract: In this paper,we consider a ratio-dependent predator-prey system with a stage structure for the prey.It is assumed that immature and mature individuals of the prey population are divided by a fixed age and that the predator individuals only prey on the immature prey individuals.Existence of equilibria is discussed and their local asymptotical stability is analyzed by linearization and system transforming since the system cannot be linearized at the origin.It is shown that the system is uniformly persistent when positive equilibrium exists.And the global asymptotical stability of boundary equilibrium,which implies the extinction of the predator population,is studied by the limit system theory and Dulac criterion.
Publication Year: 2007
Publication Date: 2007-01-01
Language: en
Type: article
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