A new finding on pattern self-organization along the route to chaos

Zhang, Huayong; Ma, Shengnan; Huang, Tousheng; Cong, Xuebing; Yang, Hongju; Zhang, Feifan

doi:10.1016/j.chaos.2017.11.016

Cited by 3 publications

(2 citation statements)

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“…A few former research works have also explored the spatiotemporal complexity of the discrete predator-prey systems with the application of CML [22,[24][25][26]32]. Nevertheless, with comparison, the present study shows two aspects of improvement.…”

Section: Discussionmentioning

confidence: 67%

“…Later, Liu [20] analyzed a predator-prey system with Holling-III type functional response combined with both diffusion and migration terms, detecting that the effects of migration on the wave behavior would lead to oscillation frequency increasing with wave number. Moreover, Zhang et al [22] revealed that the combining effects of diffusion and migration can account for the dynamical complexity of predator-prey systems.…”

Section: Introductionmentioning

confidence: 99%

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

et al. 2019

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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.

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Section: Discussionmentioning

confidence: 67%

Section: Introductionmentioning

confidence: 99%