Volume 42 Issue 8
Aug.  2021
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ZHANG Lijuan, WANG Fuchang, WAN Yongge, LI Zhengang. Dynamic Analysis of an Epidemic Model With Infectivity in the Incubation Period[J]. Applied Mathematics and Mechanics, 2021, 42(8): 866-873. doi: 10.21656/1000-0887.410251
Citation: ZHANG Lijuan, WANG Fuchang, WAN Yongge, LI Zhengang. Dynamic Analysis of an Epidemic Model With Infectivity in the Incubation Period[J]. Applied Mathematics and Mechanics, 2021, 42(8): 866-873. doi: 10.21656/1000-0887.410251

Dynamic Analysis of an Epidemic Model With Infectivity in the Incubation Period

doi: 10.21656/1000-0887.410251
Funds:

The National Natural Science Foundation of China(41674055)

  • Received Date: 2020-08-26
  • Rev Recd Date: 2021-06-07
  • Available Online: 2021-08-14
  • A transmission model for infectious diseases with infectivity in the latent periods was established. According to the law of disease transmission, the basic regeneration number, as the threshold of disease disappearance and spread, was solved. The stability of the system was discussed and the stability condition for the system was obtained. With the COVID-19 pandemic as an example, the effects of various measures for disease control were studied. The spread of the pandemic was discussed and predicted. The work makes a reference for epidemic disease control.
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