一类具有连续分布时滞的Nicholson飞蝇模型正周期解的全局指数稳定性
The Global Exponential Stability of the Positive Periodic Solution for a Class of Nicholson’s Blowflies Model with Continuously Distributed Delays
DOI: 10.12677/AAM.2019.85115, PDF,    国家自然科学基金支持
作者: 陈秋凤, 李建利：湖南师范大学，数学与统计学院，湖南 长沙
关键词: Nicholson飞蝇模型；连续分布时滞；周期解；全局指数稳定性；Nicholson’s Blowflies System； Continuous Distributed Delays； Periodic Solution； Global Exponential Stability
摘要: 该文研究了具有连续分布时滞的Nicholson飞蝇模型，证明了具有连续分布时滞的Nicholson飞蝇模型存在唯一的正周期解以及该正周期解的全局指数稳定性，我们改变了相关文献的模型，改进了相关文献的条件。
Abstract: In this paper, we study the existence of positive periodic solution for Nicholson’s blowflies system with continuously distributed delay. Under appropriate conditions, we obtain that the system has unique positive periodic solution and its global exponential stability.
文章引用：陈秋凤, 李建利. 一类具有连续分布时滞的Nicholson飞蝇模型正周期解的全局指数稳定性[J]. 应用数学进展, 2019, 8(5): 1007-1015. https://doi.org/10.12677/AAM.2019.85115

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