Pattern formation in diffusive predator-prey systems with predator-taxis and prey-taxis
Pattern formation in diffusive predator-prey systems with predator-taxis and prey-taxis
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DOI：
10.3934/dcdsb.2020162
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发表时间：
2021
期刊：
影响因子：
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通讯作者：
Jinfeng Wang;Sainan Wu;Junping Shi;N. C. Telecommunications
中科院分区：
文献类型：
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作者：
Jinfeng Wang;Sainan Wu;Junping Shi;N. C. Telecommunications
具有猎物趋向性和捕食者趋向性的反应扩散捕食者-猎物系统描述了捕食者和猎物物种的空间相互作用和随机运动，以及捕食者追逐猎物和猎物躲避捕食者的空间运动。猎物趋向性和捕食性趋向性引起的空间格局形成的特征是均质态图灵型线性不稳定性和分岔理论。结果表明，有吸引力的猎物趋向性和排斥性捕食者趋向性都会压缩空间模式，而排斥性猎物趋向性和有吸引力的捕食者趋向性有助于生成空间模式。我们的结果应用于 Holling-Tanner 捕食者-被捕食者模型，以证明模式形成机制。
A reaction-diffusion predator-prey system with prey-taxis and predator-taxis describes the spatial interaction and random movement of predator and prey species, as well as the spatial movement of predators pursuing prey and prey evading predators. The spatial pattern formation induced by the prey-taxis and predator-taxis is characterized by the Turing type linear instability of homogeneous state and bifurcation theory. It is shown that both attractive prey-taxis and repulsive predator-taxis compress the spatial patterns, while repulsive prey-taxis and attractive predator-taxis help to generate spatial patterns. Our results are applied to the Holling-Tanner predator-prey model to demonstrate the pattern formation mechanism.