This paper explores the spatiotemporal dynamics of a three-component predator–prey model with prey-taxis. We mainly show the existence of the steady state bifurcation and the bifurcating solution. Of most interesting discovery is that only the repulsive type prey-taxis could establish the existence of the steady state bifurcation and spatial pattern formation of the system. There are no steady state bifurcation and spatial patterns under the attractive type prey-taxis or without prey-taxis.

中文翻译：

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三分量捕食者-猎物模型中的时空动力学


本文探讨了具有 Prey-taxi 的三分量捕食者-猎物模型的时空动力学。我们主要展示了稳态分岔和分岔解的存在。最有趣的发现是，只有排斥型猎物出租车才能确定系统稳态分叉和空间模式形成的存在。在有吸引力的猎物出租车下或没有猎物出租车的情况下，没有稳态分叉和空间模式。