一类离散捕食-被捕食系统周期解的存在性

doi:10.12677/PM.2024.1411380

期刊菜单

一类离散捕食-被捕食系统周期解的存在性
Existence of Periodic Solutions for a Classof Discrete Predator-Prey System

DOI: 10.12677/PM.2024.1411380, PDF,
作者: 何锦玉：西北师范大学数学与统计学院，甘肃兰州
关键词: 捕食-被捕食系统；非自治差分方程；周期解；重合度；Predator-Prey System； Nonautonomous Difference Equations； Periodic Solutions； Coincidence Degree

摘要: 本文利用向前 Euler 方法,将具有比率依赖功能反应函数的连续模型离散化,从而得到一个新的差分方程模型。运用重合度理论以及一些先验估计,获得了差分系统正周期解的存在性结果。并通过数值模拟对相关理论结果进行了验证。

Abstract: This article draws upon the forward Euler method to discretize a continuous model with a ratio-dependent functional response function, thereby obtaining a new difference equation mode. By using the coincidence degree theorem and some prior estimates, the existence results of positive periodic solutions for differential systems is obtained. And the relevant theoretical results were verified through numerical simu- lation.

文章引用：何锦玉. 一类离散捕食-被捕食系统周期解的存在性[J]. 理论数学, 2024, 14(11): 104-117. https://doi.org/10.12677/PM.2024.1411380

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