The main concern of this paper is to study the dynamic of a predator–prey system with diffusion. It incorporates the Holling-type-II and a modified Leslie–Gower functional responses under Robin boundary conditions. More concretely, we study the dissipativeness of the system by using the comparison principle, and we derive a criteria for permanence and for predator extinction.

中文翻译：

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具有罗宾边界条件的扩散捕食者-猎物模型的持久性和灭绝性

本文的主要关注点是研究具有扩散的捕食者-猎物系统的动态。它在 Robin 边界条件下结合了 Holling-type-II 和修正的 Leslie-Gower 函数响应。更具体地说，我们使用比较原理研究系统的耗散性，并推导出永久性和捕食者灭绝的标准。