LI Dong mei, FU Yu li, GAO Tian qi, et al. Stability Analysis of a Class of SIR Epidemic Model with Delayed Spontaneous Variation of Virus[J]. 2020, 25(2): 166-172.
LI Dong mei, FU Yu li, GAO Tian qi, et al. Stability Analysis of a Class of SIR Epidemic Model with Delayed Spontaneous Variation of Virus[J]. 2020, 25(2): 166-172.DOI: 10.15938/j.jhust.2020.02.022.
Abstract:This paper considers the influence of virus spontaneous variation on the epidemic of infectious diseases
it establishes a delayed SIR epidemic model with spontaneous virus mutation
and gives a diseasefree equilibrium point
the existence and local stability of the endemic equilibrium point and endemic equilibrium point of a single plant. By constructing the Liapunov function
we proves the global asymptotic stability of the diseasefree equilibrium
the endemic equilibrium point of a single plant and the endemic equilibrium. By means of numerical simulation
the influence of virus spontaneous variation on disease transmission is analyzed.