一类具有年龄结构的概周期捕食-食饵模型的阈值动力学
Threshold Dynamics of a Class of AlmostPeriodic Predator-Prey Models withAge Structure
DOI: 10.12677/PM.2024.146231, PDF, 下载: 31  浏览: 55 
作者: 刘丹丹：西北师范大学数学与统计学院，甘肃 兰州
关键词: 年龄结构；捕食-食饵模型；基本再生数；概周期；Age Structure； Predator-Prey Model； Basic Reproduction Number； Almost Periodicity
摘要: 本文提出并研究了一类具有年龄结构和季节性波动的捕食-食饵模型。为了研究其阈值动力学，引入了该模型的基本再生数R0，并利用比较原理，斜积半流，单调动力系统和持久性理论建立了该模型的阈值型结果。结果表明，当R0 <1时，捕食者种群将趋于灭绝，且无捕食者概周期解全局吸引:而当R0 >1时，捕食者与食饵将会共存。
Abstract: In this paper, we propose and study a predator-prey model with age structure and seasonal uctuations. To study its threshold dynamics, the basic reproduction number R0 for this model is introduced, and a threshold-type result of this model is established by the comparison arguments, skew-product semi ows, monotone dynamical system and persistence theory. The result shows that when R0 < 1, the predator population will tend towards extinction and the predator-free almost periodic solution is globally attractive, while the predators and prey will coexist, when R0 > 1.
文章引用：刘丹丹. 一类具有年龄结构的概周期捕食-食饵模型的阈值动力学[J]. 理论数学, 2024, 14(6): 97-112. https://doi.org/10.12677/PM.2024.146231

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