Study of Property of Solutions for a Class of Predator-prey Model with Diffusion
XIE Junhui
LEI Senwen
Abstract：In the field of ecology, the research of predator-prey interaction has become a very important issue because of the strong interactions between populations.Therefore, it has become a major topic in mathematics and ecology.In this paper, we prove the positive constant steady state of a class of predator-prey model with diffusion is globally asymptotically stable under some conditions by using the comparison principle,upper and lower solution method and the iterative technique.
Keywords：predator-preyglobal asymptotic stabilityiteration technique
Publication Date：2014-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：4( 398-401 )