With the development of wireless sensor networks (WSNs), energy constraints and network security have become the main problems. This paper discusses the dynamic of the Susceptible, Infected, Low-energy, Susceptible model under pulse charging (SILS-P) in wireless rechargeable sensor networks. After the construction of the model, the local stability and global stability of the malware-free T-period solution of the model are analyzed, and the threshold R0 is obtained. Then, using the comparison theorem and Floquet theorem, we obtain the relationship between R0 and the stability. In order to make the conclusion more intuitive, we use simulation to reveal the impact of parameters on R0. In addition, the paper discusses the continuous charging model, and reveals its dynamic by simulation. Finally, the paper compares three charging strategies: pulse charging, continuous charging and non-charging and obtains the relationship between their threshold values and system parameters.

中文翻译：

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无线可充电传感器网络脉冲充电流行病模型建模与分析

随着无线传感器网络（WSNs）的发展，能量约束和网络安全已成为主要问题。本文讨论了无线可充电传感器网络中脉冲充电下的易感、感染、低能量、易感模型 (SILS-P) 的动态。模型构建完成后，分析模型的无恶意软件T周期解的局部稳定性和全局稳定性，得到阈值R0。然后，利用比较定理和 Floquet 定理，我们得到 R0 与稳定性之间的关系。为了使结论更加直观，我们通过仿真来揭示参数对R0的影响。此外，本文还讨论了连续充电模型，并通过仿真揭示了其动态。最后，论文比较了三种充电策略：