Pattern formation in a predator-mediated coexistence model with prey-taxis
Pattern formation in a predator-mediated coexistence model with prey-taxis
复制标题
DOI：
10.3934/dcdsb.2020045
复制
发表时间：
2020
期刊：
影响因子：
--
通讯作者：
E. Haskell;J. Bell
中科院分区：
文献类型：
--
作者：
E. Haskell;J. Bell
捕食者的觅食或令人厌恶的猎物防御机制是否会扰乱捕食者调解的共存？本文研究了一种被捕食种群趋向性的情形。我们研究了一个由三个种群组成的系统，其中涉及两个相互竞争的物种和一个共同的捕食者。这三个种群都是通过随机扩散在一个有界的空间区域内移动的，但捕食者的运动受到一个猎物的梯度的影响，代表着对捕食者的排斥作用。我们证明了正解的存在性，并通过分支分析和数值模拟研究了模式的形成。
Can foraging by predators or a repulsive prey defense mechanism upset predator-mediated coexistence? This paper investigates one scenario involving a prey-taxis by a prey species. We study a system of three populations involving two competing species with a common predator. All three populations are mobile via random dispersal within a bounded spatial domain \begin{document}$ \Omega $\end{document} , but the predator's movement is influenced by one prey's gradient representing a repulsive effect on the predator. We prove existence of positive solutions, and investigate pattern formation through bifurcation analysis and numerical simulation.