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:
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.
Stability Analysis of a Class of SIR Epidemic Model with Delayed Spontaneous Variation of Virus
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.
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WANG Jingnan
LU Lanfen
YANG Dezhong
ZHANG Yanqiao
DING Yu-ting
JIANG Li
SU Lin-lin
WANG Jing-nan
Related Institution
1School of Sciences,Harbin University of Science and Technology
College of Science,Northeast Forestry University
School of Applied Sciences,Harbin University of Science and Technology
School of Mechanical and Power Engineering, Harbin University of Science and Technology, Key Laboratory of Advanced Manufacturing and Intelligent Technology, Ministry of Education
School of Electrical Engineering and Automation,Harbin Institute of Technology