Spatial patterns of a predator-prey model with cross diffusion
✍ Scribed by Gui-Quan Sun, Zhen Jin, Li Li, Mainul Haque, Bai-Lian Li
- Book ID
- 113077279
- Publisher
- Springer Netherlands
- Year
- 2012
- Tongue
- English
- Weight
- 627 KB
- Volume
- 69
- Category
- Article
- ISSN
- 0924-090X
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## Abstract This paper studies a three‐species predator‐prey model with cross‐diffusion. In a previous paper 11 of Pang and Wang, it was proved that the system admits global classical solutions if the exponents in cross diffusion term satisfy __m__, __l__ ≥ 1. In the present paper, we continue cons
This paper deals with the existence and nonexistence of nonconstant positive steady-state solutions to a ratio-dependent predator-prey model with diffusion and with the homogeneous Neumann boundary condition. We demonstrate that there exists a 0 (b) satisfying 0 < a 0 (b) < m 1 for 0 < b < m 1 , suc