Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616049 | Journal of Mathematical Analysis and Applications | 2014 | 18 Pages |
Abstract
A diffusive predator-prey system with Ivlev-type scheme is investigated in this article. The existences of a small amplitude periodic traveling wave train Îp and the traveling wave solution connecting the boundary equilibrium Eu(1,0) to the periodic traveling wave Îp are obtained. The existence of this point-to-periodic solution reveals that the predator invasion leads to the periodic population densities in the coexistence domain, and thus plays a mild role in the evolution of predator-prey communities. The techniques used here are the Hopf bifurcation theorem, the improved shooting method combining with the geometric singular perturbation method.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Yehui Huang, Peixuan Weng,