一类强身型食饵-捕食者模型正平衡点稳定性注记
Note on the Global Asymptotic Stability of a Strengthening Type Predator-Prey Model with Stage Structure
DOI: 10.12677/AAM.2018.79132, PDF,   
作者: 黄小燕, 邓行, 陈凤德：福州大学数学与计算机科学学院，福建 福州
关键词: 阶段结构；捕食；食饵；全局渐近稳定；Stage Structure； Predator； Prey； Global Asymptotic Stability
摘要: 本文对一类强身型食饵-捕食者模型进行再探讨，首先指出前人的有关正平衡点全局稳定性的相关结果是错误的，之后通过构造适当的函数，我们证得了如果系统的正平衡点存在，则必是全局渐近稳定的，进而系统是一致持久的。本文所得结果推广和改进了前人的相关工作。
Abstract: A strengthening type predator-prey model with stage structure is revisited in this paper. We first show that the main results of the previous paper are incorrect. After that, by constructing some suitable Lyapunov functions, a set of sufficient conditions which ensure the globally asymptotically stable of the positive equilibrium is obtained. We show that the conditions which ensure the existence of the positive equilibrium are enough to ensure the globally asymptotically stable, and consequently, the system is permanent. Our results supplement and complement some known results.
文章引用：黄小燕, 邓行, 陈凤德. 一类强身型食饵-捕食者模型正平衡点稳定性注记[J]. 应用数学进展, 2018, 7(9): 1141-1146. https://doi.org/10.12677/AAM.2018.79132

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