一类具有时滞效应与脉冲控制的捕食–食饵系统的动力学研究
Dynamic Analysis of a Predator-Prey System with Time Delay and Pulse Control
DOI: 10.12677/AAM.2018.78116, PDF,    国家自然科学基金支持
作者: 杨晶：温州大学，数理与电子信息工程学院，浙江 温州
关键词: 脉冲控制；时滞效应；稳定性；全局吸引；持久性；Pulse Control； Time Delay； Stability； Global Attraction； Persistence
摘要: 基于生态动力学理论与生态控制建模思想，本文构建了一类具有时滞效应与脉冲控制的捕食–食饵动力系统，建立了系统半平凡周期解的局部渐近稳定和全局吸引的充分判据，证明了系统的持久生存性。对模型相关动力学行为进行数值模拟，验证了理论分析的有效性和可行性。
Abstract: Based on theory of ecological dynamics and ecological control modeling idea, a predator-prey dy-namic system with time-delay and pulse control is constructed. The sufficient criterion of local asymptotic stability and global attraction for the semi-trivial periodic solution of the system is es-tablished. The permanence of the system is proved. Further, the dynamic behavior of the model was simulated numerically, which verifies the validity and feasibility of theoretical analysis.
文章引用：杨晶. 一类具有时滞效应与脉冲控制的捕食–食饵系统的动力学研究[J]. 应用数学进展, 2018, 7(8): 987-999. https://doi.org/10.12677/AAM.2018.78116

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