The paper considers predator prey models with consuming resource and prey-taxis subject to homogeneous Neumann boundary conditions. For small prey-taxis coefficients, global in time solutions are proved in any space dimension. The homogeneous steady state remains global stability for weak attractive prey-taxis sensitivity, and pattern formation can be generated for repulsive prey-taxis sensitivity.

中文翻译：

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消耗资源和被捕食者的捕食者被捕食系统的模式形成

本文考虑了服从捕食者食饵的猎物模型，其资源和猎物趋向于均质Neumann边界条件。对于较小的食饵-出租车系数，可以在任何空间维度上证明全局时间解。均匀的稳态保持全局稳定性，以实现弱的诱捕性，并且可以产生图案形成以排斥捕食性。