Coexistence steady states in a predator–prey model
✍ Scribed by Christoph Walker
- Publisher
- Springer
- Year
- 2010
- Tongue
- English
- Weight
- 225 KB
- Volume
- 95
- Category
- Article
- ISSN
- 0003-889X
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📜 SIMILAR VOLUMES
We study a prey-predator model with nonlinear diffusions. In a case when the spatial dimension is less than 5, a universal bound for coexistence steady-states is found. By using the bound and the bifurcation theory, we obtain the bounded continuum of coexistence steady-states.
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