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IPM strategies to a discrete switching predator-prey model induced by a mate-finding Allee effect.
Journal of Biological Dynamics ( IF 2.8 ) Pub Date : 2019-11-05 , DOI: 10.1080/17513758.2019.1682200
Wenjie Qin 1, 2 , Xuewen Tan 3 , Xiaotao Shi 2 , Changcheng Xiang 4
Affiliation  

This paper proposes a discrete switching predator-prey model with a mate-finding Allee effect, where also switches are guided by Allee effect. One of the strategies analysed is to use a chemical in order to prevent the pest outbreak when the pest population is free of Allee effect. In this paper, we first study analytically the dynamic behaviors of the two subsystems and the equilibria and their stability of the switched system. Then we provide numerical bifurcation analyses for the switched discrete system. These show that the switched discrete system may have very complex dynamics by 2-parameter bifurcation diagrams which divide the space into regions and study equilibria, and 1-dimensional bifurcation diagrams which reveal that the system has periodic, chaotic solutions, period doubling bifurcations and so on. Furthermore, we try to refer the key parameters and initial densities of both populations associated with pest outbreaks and study their biological implications.



中文翻译:

IPM策略对由寻找配偶Allee效应引起的离散切换捕食者-猎物模型的影响。

本文提出了一种具有寻觅Allee效应的离散切换捕食-被捕食模型,其中开关也受Allee效应指导。分析的策略之一是在有害生物种群没有Allee效应时使用化学物质来防止有害生物爆发。在本文中,我们首先分析研究两个子系统的动态行为,以及切换系统的平衡性和稳定性。然后,我们提供了离散离散系统的数值分叉分析。这些结果表明,切换的离散系统可能具有非常复杂的动力学,这是通过将空间划分为区域并研究平衡的2参数分叉图和揭示系统具有周期,混沌解,周期加倍分叉的一维分叉图来实现的。上。此外,

更新日期:2019-11-05
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