Maximal attractor, stability, and persistence for prey-predator model with saturation

Authors:
Wu Jianhua
Affiliations:
Department of Math., Shaanxi Normal University Xi'an, Shaanxi 710062, P.R. China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1999

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Abstract

By the comparison theorem and linearization, the stability of steady-state solutions for prey-predator model with saturation is discussed, and conditions imposed on parameters for the stability are given. The estimate of linear semigroup and the general theory of uniform persistence are used to prove the existence of maximal attractor in [C"0(\@?gW)]^2 and the uniform persistence.