NON-CONSTANT POSITIVE STEADY-STATES OF A PREDATOR-PREY-MUTUALIST MODEL  

作　　者：CHENWENYAN WANGMINGXIN 

机构地区：[1]DepartmentofMathematics,SoutheastUniversity,Nanjing210018,China. [2]DepartmentofMathematics,SoutheastUniversity,Nanjing2100181China.

出　　处：《Chinese Annals of Mathematics,Series B》2004年第2期243-254,共12页数学年刊（B辑英文版）

基　　金：Project supported by the National Natural Science Foundation of China (No.19831060) ;the 333 Project of Jiangsu Province of China.

摘　　要：In this paper, the authors deal with the non-constant positive steady-states of a predator-prey-mutualist model with homogeneous Neumann boundary condition. They first give a priori estimates (positive upper and lower bounds) of positive steady-states,and then study the non-existence, the global existence and bifurcation of non-constant positive steady-states as some parameters are varied. Finally the asymptotic behavior of such solutions as d3 →∞ is discussed.

关 键 词：Predator-prey-mutualist model Non-constant positive steady-states BIFURCATION A priori estimates 

分 类 号：O123.3[理学—数学]