具收获项和周期系数的广义捕食-被捕食模型的正周期解题
Positive Periodic Solutions for a Generalized Prey–Predator Model
DOI: 10.12677/AAM.2017.63036, PDF, HTML, XML, 下载: 1,554  浏览: 1,809  国家自然科学基金支持
作者: 卓相来：山东科技大学数学与系统科学学院，山东 青岛；张丰雪：山东科技大学矿业与安全工程学院，山东 青岛
关键词: 重合度理论；捕食-被捕食模型；收获项；正周期解；Coincidence Degree； Prey-Predator Model； Harvesting Term； Positive Periodic Solution
摘要: 利用重合度理论，我们研究具收获项的广义捕食-被捕食模型，得到系统存在正周期解的充分条件。本文结果推广了已有文献的结果。
Abstract: The existence of positive periodic solutions for a generalized prey-predator model with harvesting term was studied by using Mawhin’s continuation theorem of coincidence degree theory. Some sufficient conditions were obtained to ensure the existence of positive periodic solutions. The results obtained in this paper generalized the known results.
文章引用：卓相来, 张丰雪. 具收获项和周期系数的广义捕食-被捕食模型的正周期解题[J]. 应用数学进展, 2017, 6(3): 308-316. https://doi.org/10.12677/AAM.2017.63036

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