Exploring Spatiotemporal Complexity of a Predator-Prey System with Migration and Diffusion by a Three-Chain Coupled Map Lattice

Abstract EN

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.