Nonlinear Phenomena in Complex Systems, 2007, Vol.10, No.4, pp.335-346

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2007, Vol.10, No.4, pp.335-346

Global Stability of a Delayed Predator-Prey Model with Stage Structure and Harvesting Effort.
Zhiqi Lu, Jiaoyan Wang, and Rui Xu

A predator-prey model with stage structure, harvesting effort and time delays due to maturation time for both the prey and the predator is investigated. It is assumed that immature individuals and mature individuals of each species are divided respectively by a fixed age, and that mature predators only attack the immature prey. Sufficient conditions are derived respectively for the global stability of each of nonnegative equilibria of the model.
Key words: stage structure, predator-prey model, permanence, global stability

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