Stability of a competition model with two-stage structure

摘要

A population model with stage structure which describes the competition of two species for space is considered. The model is established under the assumptions that reproductive rates of two species are affected by competition and that the space occupied by one type of juveniles cannot be neglected. Estimates on the length of delays for which positive equilibrium of the model remains stable are given. Sufficient conditions are also derived that ensure global stability of positive equilibrium.