一类具有分级感染率的时滞计算机病毒传播模型周期解

摘要

研究一类具有分级感染率的时滞计算机病毒传播模型.以模型中的临时免疫期时滞为分岔参数,讨论了模型局部稳定性和Hopf分岔的存在性.进而,利用中心流形定理和规范型理论研究了分岔周期解的稳定性.最后,给出一个仿真示例,对所得结果的正确性进行了验证.%A delayed SLBQRS computer virus model with graded infection rate is proposed in the present paper.Local stability of the viral equilibrium and the existence of a Hopf bifurcation are investigated by regarding the temporary immunity period delay as a bifurcation parameter.Further,the normal form theory and the center manifold theorem are applied to determine direction of the Hopf bifurcation and stability of the bifurcating periodic solutions..Finally,numerical simulations are carried out in order to verify the obtained results.