一类捕食–食饵系统的状态依赖反馈控制模型

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一类捕食–食饵系统的状态依赖反馈控制模型
A Predator-Prey Model with State-Dependent Feedback Control

DOI:10.12677/AAM.2018.710156,PDF,下载: 1,013浏览: 1,497科研立项经费支持
作者:白露,陈武大仁：广西大学数学与信息科学学院，广西南宁；刘琼：钦州学院发展规划处(研究生处)，广西钦州
关键词:半连续动力系统；后继函数；阶一周期解；Semi-Continuous Dynamic Systems；Successor Functions；Order-1 Periodic Solution

摘要:基于微分方程几何理论和非线性动力系统理论，提出一类一般化的具有平方根响应函数捕食–食饵的状态反馈控制模型，利用后继函数法分析该系统阶一周期解的存在性，得到了存在阶一周期解的充分条件。

Abstract:Based on the differential equation geometry theory and nonlinear dynamical system theory, we propose a generalized predator-prey model with square root response function and state feedback control strategy, and analyze the existence of the order-1 period solution of the system by the method of successor function, sufficient conditions for the existence of an order-1 period solution are obtained.

文章引用：白露, 刘琼, 陈武大仁. 一类捕食–食饵系统的状态依赖反馈控制模型[J]. 应用数学进展, 2018, 7(10): 1340-1348. https://doi.org/10.12677/AAM.2018.710156

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