Leslie型捕食者–食饵系统的弛豫振荡分析

doi:10.12677/AAM.2019.812222

期刊菜单

Leslie型捕食者–食饵系统的弛豫振荡分析
Relaxation Oscillations Analysis in a Predator-Prey System of Leslie Type

DOI: 10.12677/AAM.2019.812222, PDF,
作者: 潘陈蓉, 陈松林：安徽工业大学数理科学与工程学院，安徽马鞍山
关键词: Leslie型捕食者–食饵系统；入–出函数；几何奇异摄动理论；存在唯一性；Leslie Predator-Prey System； Entry-Exit Function； Geometric Singular Perturbation Theory； Existence and Uniqueness

摘要: 在本文中，我们考虑一个具有功能反应的Leslie型捕食者–食饵系统。分析系统的平衡点类型和稳定性，利用入–出函数和几何奇异摄动理论证明了系统的弛豫振荡周期的存在唯一性。

Abstract: In this paper, we consider a predator-prey system of Leslie type with functional response. The equilibrium point type and stability of the system are analyzed, and the existence and uniqueness of relaxation oscillation period of the system are proved by using the entry-exit function and geometric singular perturbation theory.

文章引用：潘陈蓉, 陈松林. Leslie型捕食者–食饵系统的弛豫振荡分析[J]. 应用数学进展, 2019, 8(12): 1937-1942. https://doi.org/10.12677/AAM.2019.812222

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