Stationary solutions of a reaction-diffusion equation with a nonlocal convection. (English) Zbl 0815.35052
Summary: We are concerned with an ecological model described by a nonlinear diffusion equation with a nonlocal convection. The conditions under which stationary solutions exist are investigated. We also discuss the stability problem of stationary solutions.
MSC:
| 35K60 | Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations |
| 35B35 | Stability in context of PDEs |
| 35K57 | Reaction-diffusion equations |
