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

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.