具有Holling-III型食饵自食性的Leslie-Gower时滞捕食模型的周期解
Periodic Solution for a Delayed Leslie-Gower and Holling-Type III Predator-Prey Model Incorporating Prey Cannibalism
DOI: 10.12677/AAM.2020.98136, PDF,  被引量    国家自然科学基金支持
作者: 牛 璐*, 王晓云#：太原理工大学数学学院，山西 太原
关键词: 时滞捕食模型；同类相食；连续性定理；周期解；Delayed Predator-Prey Model； Cannibalism； Continuity Theorem； Periodic Solution
摘要: 本文研究具有Holling-III型食饵自食性的Leslie-Gower时滞捕食模型的周期解，了解食饵与捕食者之间的动态关系。利用重合度理论的连续性定理以及比较定理，如果满足条件，则系统存在一个ω-周期正解。
Abstract: In this paper, we study the periodic solution of a delayed Leslie-Gower and Holling-Type III predator-prey model incorporating prey cannibalism to understand the dynamic relationship between prey and predator. Using the continuity theorem of coincidence degree theory and comparison theorem, if the condition is met, then the system has a ω-positive periodic solution.
文章引用：牛璐, 王晓云. 具有Holling-III型食饵自食性的Leslie-Gower时滞捕食模型的周期解[J]. 应用数学进展, 2020, 9(8): 1170-1176. https://doi.org/10.12677/AAM.2020.98136

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