【摘要】 为预防和应对无线传感网络所面临的安全挑战，提出一类时滞易感-感染-恢复-易感(susceptible-infected-recovered-susceptible, SIRS)无线传感网络病毒传播模型。以免疫期时滞作为分岔参数，利用特征值方法，得到模型局部渐近稳定和产生Hopf分岔的充分条件；运用规范型理论和中心流形定理进一步推导Hopf分岔的性质，并利用一组数值仿真验证研究结果的可靠性。更多还原

【Abstract】 In order to prevent and deal with the security challenges faced by wireless sensor networks, a class of time-lag susceptible-infected-recovered-susceptible(SIRS) wireless sensor network virus spreading model is proposed. Taking the immune time-lag as the bifurcation parameter, the eigenvalue method is used to analyze the local asymptotic stability of the model and the sufficient conditions for Hopf bifurcation according to the calculation results. The properties of Hopf bifurcations are further deduced by using gauge theory and central manifold theorem, and a set of numerical simulations are used to verify the reliability of the research results.更多还原