Dynamics and patterns of a diffusive Leslie-Gower prey-predator model with strong Allee effect in prey
Dynamics and patterns of a diffusive Leslie-Gower prey-predator model with strong Allee effect in prey
复制标题
猎物中具有强 Allee 效应的扩散 Leslie-Gower 猎物-捕食者模型的动力学和模式
DOI：
10.1016/j.jde.2016.06.022
复制
发表时间：
2016
影响因子：
2.4
通讯作者：
王明新
中科院分区：
文献类型：
--
作者：
Ni Wenjie;王明新
研究了食饵种群中具有强Allee效应的Leslie-Gower食饵-捕食者扩散模型的动力学性质和平稳态.我们首先分析了非负常数平衡解及其稳定性，然后研究了含时解的动力学性质。此外，我们研究了由扩散引起的稳态图案（图灵图案）。我们的研究结果表明，强Allee效应的影响，从根本上增加了系统的时空复杂性。
This paper is devoted to study the dynamical properties and stationary patterns of a diffusive Leslie–Gower prey–predator model with strong Allee effect in the prey population. We first analyze the nonnegative constant equilibrium solutions and their stabilities, and then study the dynamical properties of time-dependent solutions. Moreover, we investigate the stationary patterns induced by diffusions (Turing pattern). Our results show that the impact of the strong Allee effect essentially increases the system spatiotemporal complexity.