一类具有非线性发生率的无线传感网络蠕虫传播模型的延迟动力学行为
TP309; 研究了一类具有不同发生率的无线传感网络蠕虫传播模型的延迟动力学行为.由于在监测节点隔离不稳定节点需要消耗一定的时间,在模型中考虑了处理时滞.通过分析相应特征方程根的分布情况,得到了平衡点存在性、模型局部稳定性和Hopf分岔存在的充分性条件.通过构造合适的李雅普诺夫函数,证明了蠕虫病毒平衡点的全局稳定性.数值仿真实验验证了理论分析结果的正确性.仿真结果表明,当处理时滞的值越过关键值时,网络中的蠕虫传播将失去控制,发现无线传感网络的覆盖范围是控制蠕虫传播和保证无线传感网络安全最为重要的因素之一.并通过仿真发现消除模型混沌状态的一些关键参数,其中非线性发生率 βSII+1是控制蠕虫病毒...
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| Published in | Zhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban Vol. 46; no. 2; pp. 168 - 199 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | Chinese |
| Published |
安徽财经大学管理科学与工程学院,安徽蚌埠,233030%印度理工学院(印度矿业学院)应用数学系,印度 丹巴德,826004
01.03.2019
Zhejiang University Press |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1008-9497 |
| DOI | 10.3785/j.issn.1008-9497.2019.02.005 |
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| Abstract | TP309; 研究了一类具有不同发生率的无线传感网络蠕虫传播模型的延迟动力学行为.由于在监测节点隔离不稳定节点需要消耗一定的时间,在模型中考虑了处理时滞.通过分析相应特征方程根的分布情况,得到了平衡点存在性、模型局部稳定性和Hopf分岔存在的充分性条件.通过构造合适的李雅普诺夫函数,证明了蠕虫病毒平衡点的全局稳定性.数值仿真实验验证了理论分析结果的正确性.仿真结果表明,当处理时滞的值越过关键值时,网络中的蠕虫传播将失去控制,发现无线传感网络的覆盖范围是控制蠕虫传播和保证无线传感网络安全最为重要的因素之一.并通过仿真发现消除模型混沌状态的一些关键参数,其中非线性发生率 βSII+1是控制蠕虫病毒传播、保证无线传感网络安全的最佳选择. |
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| AbstractList | In this paper, delay dynamics of a worm propagation model has been investigated with different incidence rates in wireless sensor network. Processing time delay occurs in the proposed model due to time consumed during monitoring the erratic behaviors of the nodes and isolating it from the network. Sufficient conditions for the existence of equilibrium points, stability analysis and Hopf bifurcation of the system are derived by analyzing distribution of roots of an associated characteristic equation. Global stability for worm-induced equilibrium is derived by constructing a suitable Lyapunov function. To verify analytical results, numerical simulations are carried out. In the case that the processing time delay exceeds the critical value, the worms in the network is beyond the control. There are many significant features of wireless sensor networks, among them coverage area is the most effective factor with respect to worm control and security purposes. The value of some influential parameters of sensor networ TP309; 研究了一类具有不同发生率的无线传感网络蠕虫传播模型的延迟动力学行为.由于在监测节点隔离不稳定节点需要消耗一定的时间,在模型中考虑了处理时滞.通过分析相应特征方程根的分布情况,得到了平衡点存在性、模型局部稳定性和Hopf分岔存在的充分性条件.通过构造合适的李雅普诺夫函数,证明了蠕虫病毒平衡点的全局稳定性.数值仿真实验验证了理论分析结果的正确性.仿真结果表明,当处理时滞的值越过关键值时,网络中的蠕虫传播将失去控制,发现无线传感网络的覆盖范围是控制蠕虫传播和保证无线传感网络安全最为重要的因素之一.并通过仿真发现消除模型混沌状态的一些关键参数,其中非线性发生率 βSII+1是控制蠕虫病毒传播、保证无线传感网络安全的最佳选择. |
| Author | KUMARI Sangeeta UPADHYAY Ranjit Kumar 储煜桂 张子振 |
| AuthorAffiliation | 安徽财经大学管理科学与工程学院,安徽蚌埠,233030%印度理工学院(印度矿业学院)应用数学系,印度 丹巴德,826004 |
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| Author_FL | CHU Yugui KUMARI Sangeeta UPADHYAY Ranjit Kumar ZHANG Zizhen |
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| Keywords | 稳定性分析 无线传感网络 Hopf分岔 处理时滞 SIQRS蠕虫传播模型 |
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| Title | 一类具有非线性发生率的无线传感网络蠕虫传播模型的延迟动力学行为 |
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