一类具有非线性发生率的时滞SIQRS无线传感网络蠕虫传播模型Hopf分岔

Hopf bifurcation analysis of a delayed SIQRS wireless sensing network worm propagation model with nonlinear

研究一类具有非线性发生率的时滞SIQRS蠕虫病毒传播模型,模型中的恢复状态节点由于安装有反病毒软件而具有一定的临时免疫期.首先,以临时免疫期时滞为分岔参数,通过分析模型特征方程根的存在情况,研究其Hopf分岔的存在性及其存在的条件.然后,利用Matlab进行仿真模拟,以确认结论的正确性.

A delayed SIQRS worm propagation model with nonlinear incidence is studied.Due to the effect of antivirus in recovered nodes,there exists a temporary immunity period delay.First,taking the time delay as a bifurcation parameter,the existence of Hopf bifurcation can be gotten by analyzing the distribution of the root of characteristic equation.Then,some numerical simulations are used to verify the validity of the theoretical analysis.