| Volume 10, Number 1, 2020, Pages 165-177 DOI：10.11948/20190097 |
| Spatial pattern formations in diffusive predator-prey systems with non-homogeneous Dirichlet boundary conditions |
| Yingwei Song,Tie Zhang |
| Keywords:Reaction, diffusion, predator-prey, stability, bifurcation. |
| Abstract: |
| A reaction-diffusion predator-prey system with non-homogeneous Dirichlet boundary conditions describes the persistence of predator and prey species on the boundary. Compared with homogeneous Neumann boundary conditions, the former conditions may prompt or prevent the spatial patterns produced through diffusion-induced instability. The spatial pattern formation induced by non-homogeneous Dirichlet boundary conditions is characterized by the Turing type linear instability of homogeneous state and bifurcation theory. Furthermore, transient spatiotemporal behaviors are observed through numerical simulations. |
PDF Download reader
|
|
|
|