Journal
MATHEMATICAL MODELLING AND ANALYSIS
Volume 16, Issue 3, Pages 461-474Publisher
VILNIUS GEDIMINAS TECH UNIV
DOI: 10.3846/13926292.2011.603164
Keywords
existence; predator-prey system; cross-diffusion; positive steady state; ratio-dependence
Categories
Funding
- NSFC [10871085]
Ask authors/readers for more resources
This paper is concerned with a ratio-dependent predator-prey system with diffusion and cross-diffusion in a bounded domain with no flux boundary condition. We establish the existence and non-existence of non-constant positive steady states (patterns). In particular, we show that under certain hypotheses, the cross-diffusion can create stationary patterns even though the corresponding model without cross-diffusion fails.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available