| 种间作用的二维非线性时滞动力系统模型的持久性和稳定性 |
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| 引用本文： | 刘华祥,曾广洪,吴庆初.种间作用的二维非线性时滞动力系统模型的持久性和稳定性[J].南昌大学学报(理科版),2009,33(3):1. |
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| 作者姓名： | 刘华祥 曾广洪 吴庆初 |
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| 作者单位： | 广东海洋大学数学系； 江西师范大学数学与信息科学学院； |
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| 基金项目： | 广东海洋大学科研资助项目，江西师范大学青年成长基金 |
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| 摘 要： | 从生物动力学的角度扩展了传统的Lotka-Voltera捕食-被捕食模型,以Holling-II型和修改的Leslie-Gower型功能反应为基础,建立了包括密度制约、功能反应和时滞效应的二维非线性时滞动力系统模型;分析了该动力系统的持久性、稳定性及时滞效应对系统动力学性质的影响;证明了系统在
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| 关 键 词： | 捕食-被捕食 Lyapunov泛函 时滞 一致持久性 全局渐近稳定性 |
Persistence and Stability in Two-Dimensional Nonlinear Delayed Dynamical System of Interspecific Interaction |
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| LIU Hua-xiang,ZENG Guang-hong,WU Qing-chu.Persistence and Stability in Two-Dimensional Nonlinear Delayed Dynamical System of Interspecific Interaction[J].Journal of Nanchang University(Natural Science),2009,33(3):1. |
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| Authors: | LIU Hua-xiang ZENG Guang-hong WU Qing-chu |
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| Institution: | 1.Department of Mathematics;Guangdong Ocean University;Zhanjiang;524088;China;2.College of Mathematics and Information Science;Jiangxi Normal University;Nanchang;330022;China |
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| Abstract: | By extending the conventional Lotka-Volterra model of predator-prey from the viewpoint of biomechanics,the new dynamical model of two-dimensional nonlinear time-delayed differential equation is established,which is based on Holling-type II and Leslie-Gower modified functional response and includes the carrying capacity of the environmental resources and functional response.Its persistence and its equilibrium point's stability and the effect of delayed times on its dynamics is analyzed.The system is uniforml... |
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| Keywords: | time delay predator-prey uniformly persistence global asymptotically stability Lyapunov functional |
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