|
|
| |
| Qualitative Analysis on a Reaction-Diffusion Prey-Predator Model and the Corresponding Steady-States |
| |
Citation： |
Qunyi BIE,Rui PENG.Qualitative Analysis on a Reaction-Diffusion Prey-Predator Model and the Corresponding Steady-States[J].Chinese Annals of Mathematics B,2009,30(2):207~220 |
| Page view： 1862
Net amount： 1691 |
Authors： |
Qunyi BIE; Rui PENG; |
Foundation： |
the National Natural Science Foundation of China (Nos. 10801090, 10726016). |
|
|
| Abstract： |
The authors study a diffusive prey-predator model subject to the homogeneous
Neumann boundary condition and give some qualitative descriptions of solutions to this
reaction-diffusion system and its corresponding steady-state problem. The local and global
stability of the positive constant steady-state are discussed, and then some results for non-
existence of positive non-constant steady-states are derived. |
Keywords： |
Prey-predator model, Steady-state, Global stability, Non-existence |
Classification： |
35J55, 37B25, 92D25 |
|
|
Download PDF Full-Text
|
|
|
|
