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.
|Journal||Nonlinear Analysis, Theory, Methods and Applications|
|Publication status||Published - 2009 Dec 15|
- A priori estimate
- Coexistence steady-states
- Nonlinear diffusion of fractional type
ASJC Scopus subject areas
- Applied Mathematics