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    时滞分数阶无线传感器网络病毒传播模型的分岔控制

    Bifurcation Control of Virus Propagation Model in Time-delay Fractional Order Wireless Sensor Networks

    • 摘要: 为了探究网络病毒在无线传感器网络中的传播及控制机理,建立了一类时滞分数阶无线传感器网络病毒传播模型,并引入时滞反馈控制器,研究了受控模型的动力学特性及分岔控制问题。重点分析了受控分数阶病毒传播模型感染平衡态的稳定性,选择时滞作为分岔参数建立了受控病毒传播模型发生 Hopf分岔的条件。分析了控制器增益对非线性分岔阈值点的影响。通过数值仿真,对理论分析结果的准确性进行了验证。

       

      Abstract: In order to explore the propagation and control mechanism of network virus in wireless sensor networks, a kind of time-delay fractional order virus propagation model in wireless sensor networks is established, and the time-delay feedback controller is introduced to study the dynamic characteristics and bifurcation control of the controlled model. Firstly, the stability of the infection equilibrium state of the controlled fractional order virus propagation model is specifically analyzed. The time delay is selected as the bifurcation parameter, and the conditions for Hopf bifurcation of the controlled virus propagation model are established. Secondly, the influence of controller gain on nonlinear bifurcation threshold point is analyzed. Finally, the accuracy of the theoretical analysis results is verified by numerical simulations.

       

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