Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8900090 | Journal of Mathematical Analysis and Applications | 2018 | 20 Pages |
Abstract
In the current paper, we continue the mathematical analysis studied in Li and Wu (2017)[15] and Oeda (2011)[22], and further study the effect of cross-diffusion for the predator on the stationary problem. The existence of positive solutions is first established by the bifurcation theory. We next discuss the limiting behavior of positive solutions when the intrinsic growth rate of the predator species tends to infinity. Moreover, as the prevention coefficient tends to infinity, we obtain two shadow systems and give the complete limiting characterization of positive solutions.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Shanbing Li, Yoshio Yamada,