Title
Stationary patterns of a predator–prey model with spatial effect
Abstract
In this paper, spatial patterns of predator–prey model with cross diffusion are investigated. The Hopf and Turing bifurcation critical line in a spatial domain are obtained by using mathematical theory. Moreover, exact Turing space is given in two parameters space. Our results reveal that cross diffusion can induce stationary patterns, which may be useful to help us better understand the dynamics of the real ecosystems.
Year
DOI
Venue
2010
10.1016/j.amc.2010.05.007
Applied Mathematics and Computation
Keywords
Field
DocType
Predator–prey,Cross diffusion,Pattern formation
Statistical physics,Combinatorics,Critical line,Mathematical analysis,Mathematical theory,Pattern formation,Turing,Numerical analysis,Spatial ecology,Mathematics,Hopf bifurcation,Bifurcation
Journal
Volume
Issue
ISSN
216
12
0096-3003
Citations 
PageRank 
References 
9
0.73
2
Authors
4
Name
Order
Citations
PageRank
Li-Mei Zhu190.73
Ai-Ling Wang2114.20
Yong-Jiang Liu3121.48
Biao Wang491.07