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| NON-CONSTANT POSITIVE STEADY-STATES OF A PREDATOR-PREY-MUTUALIST MODEL |
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Citation： |
CHEN Wenyan,WANG Mingxin.NON-CONSTANT POSITIVE STEADY-STATES OF A PREDATOR-PREY-MUTUALIST MODEL[J].Chinese Annals of Mathematics B,2004,25(2):243~254 |
| Page view： 1146
Net amount： 972 |
Authors： |
CHEN Wenyan; WANG Mingxin |
Foundation： |
Project supported by the National Natural Science Foundation of China (No.19831060) and the 333
Project of Jiangsu Province of China. |
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| Abstract： |
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
$d_3\rightarrow\infty$ is discussed. |
Keywords： |
Predator-prey-mutualist model, Non-constant positive steady-states,
Bifurcation, A priori estimates |
Classification： |
35J55, 92C40, 92D25 |
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