Predator-taxis creates spatial pattern of a predator-prey model
Predator-taxis creates spatial pattern of a predator-prey model
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DOI：
10.1016/j.chaos.2022.112332
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发表时间：
2022-08-01
影响因子：
7.8
通讯作者：
Zheng, Qianqian
中科院分区：
文献类型：
--
作者：
Chen, Mengxin;Zheng, Qianqian
本文研究了一类具有捕食趋向性的捕食者-食饵模型在齐次零通量边界条件下的空间斑图的形成。首先，我们采用捕食者趋性系数作为图灵分支的潜在临界值，以发挥其在形成空间格局中的作用。发现图灵分岔存在多个阈值。在此之后，我们重点讨论了图灵分叉的方向。为此，本文采用弱非线性分析方法，推导出了一维空间中图灵分岔阈值附近的振幅方程。研究发现，捕食者的趋食性可以产生亚临界或超临界图灵分岔。最后，数值实验验证了理论分析的正确性，并得到了不同捕食者趋药性系数下的空间格局。(c)2022爱思唯尔有限公司版权所有。
In this paper, we investigate the spatial pattern formation to a predator-prey model with the predator-taxis under the homogeneous zero -flux boundary conditions. Firstly, we employ the predator-taxis coefficient as the potential critical value of the Turing bifurcation to perform its role in forming the spatial pattern. One finds that there are multiple thresholds of the Turing bifurcation. Hereafter, we focus on the direction of the Turing bi-furcation. To this end, the technique of the weakly nonlinear analysis is employed to deduce the amplitude equa-tion near the threshold of the Turing bifurcation in one-dimensional space. It is found that the predator-taxis can create the subcritical or the supercritical Turing bifurcation. Finally, numerical experiments check the theoretical analysis well and obtain the spatial patterns with the different predator-taxis coefficients.(c) 2022 Elsevier Ltd. All rights reserved.