On a diffusive prey-predator model which exhibits patchiness
✍ Scribed by M. Mimura; J.D. Murray
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 683 KB
- Volume
- 75
- Category
- Article
- ISSN
- 0022-5193
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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
In this work, we study a ratio-dependent prey-predator model with diffusion and homogeneous Neumann boundary condition. We prove that the unique positive constant steady state is locally and uniformly stable, and is globally asymptotically stable under some assumptions. The proof uses the iteration