具有避难所因素和集群行为的捕食者-食饵模型的斑图动力学分析

doi:10.6040/j.issn.1671-9352.0.2025.070

Abstract

Abstract: This paper considers a cross-diffusive predator-prey model incorporating refuge effects and schooling behavior, revealing the regulatory mechanism of refuge effects on both predator and prey populations. It is shown that as the refuge parameter increases, the schooling behavior of predator and prey populations becomes more pronounced. By employing a suitable refuge threshold parameter, the spatial dynamics of the system are investigated, and a series of spatiotemporal patterns are observed, including spot-like or hexagonal, stripe and mixed spot-stripe patterns. Specifically, linear stability analysis is applied to derive the conditions for Turing instability. Subsequently, multiple-scale analysis is utilized to derive amplitude equations near the Turing bifurcation critical point, and the mechanism and stability of pattern formation are studied. Theoretical results are verified through numerical simulations. Provides a theoretical basis for regulating population size and spatial patterns in species with collective behaviors.

Key words: refuge effects, predator-prey model, Turing stability, pattern dynamics

CLC Number:

O175

JIANG Yuan, LIU Hui, OUYANG Miao, SHEN Pei. Pattern dynamics analysis for a predator-prey system considering prey refuge and schooling behavior[J].JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2026, 61(7): 33-44.

References

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Pattern dynamics analysis for a predator-prey system considering prey refuge and schooling behavior

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