Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10427008 | Nonlinear Analysis: Theory, Methods & Applications | 2005 | 13 Pages |
Abstract
We discuss the existence of positive solutions to certain strongly-coupled nonlinear elliptic systems with self-diffusions under homogeneous Dirichlet boundary conditions. Using the global positive coexistence results for predator-prey, competition and symbiotic interactions between two species, sufficient conditions for the positive solutions of the degenerate self-diffusive systems are studied. We also investigate the local behavior, namely, the local existence, uniqueness and stability, of positive solutions for predator-prey and competition interactions. Our method is based on the decoupling technique and bifurcation theory.
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Authors
Kimun Ryu, Inkyung Ahn,