Paper Info
Title
Exploring Spatiotemporal Complexity of a Predator-Prey System with Migration and Diffusion by a Three-Chain Coupled Map Lattice.
Abstract
The topic of utilizing coupled map lattice to investigate complex spatiotemporal dynamics has attracted a lot of interest. For exploring the spatiotemporal complexity of a predator-prey system with migration and diffusion, a new three-chain coupled map lattice model is developed in this research. Based on Turing instability analysis, pattern formation conditions for the predator-prey system are derived. Via numerical simulation, rich Turing patterns are found with subtle self-organized structures under diffusion-driven and migration-driven mechanisms. With the variation of migration rates, the predator-prey system exhibits a gradual dynamical transition from diffusion-driven patterns to migration-driven patterns. Moreover, new results, the self-organization of non-Turing patterns, are also revealed. We find that even in the cases where the nonspatial predator-prey system reaches collapse, the migration can still drive pattern self-organization. These non-Turing patterns suggest many new possible ways for the coexistence of predator and prey in space, under the effects of migration and diffusion.
Year
DOI
Venue
2019
10.1155/2019/3148323
COMPLEXITY
Field
DocType
Volume
Statistical physics,Predation,Computer simulation,Control theory,Turing patterns,Pattern formation,Turing instability,Coupled map lattice,Mathematics
Journal
2019
ISSN
Citations 
PageRank 
1076-2787
0
0.34
References 
Authors
0
6
Name
Order
Citations
PageRank
tousheng huang192.47
Huayong Zhang203.04
Xuebing Cong300.34
Ge Pan401.01
Xiumin Zhang501.01
Zhao Liu62510.73