2021
DOI: 10.1101/2021.07.04.21259205
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Modelling, Simulations and Analysis of the First and Second COVID-19 Epidemics in Beijing

Abstract: To date, over 182 million people on infected with COVID-19. It causes more 3.9 millions deaths. This paper introduces a symptomatic-asymptomatic-recoverer-dead differential equation model (SARDDE). It gives the conditions of the asymptotical stability on the disease-free equilibrium of SARDDE. It proposes the necessary conditions of disease spreading for the SARDDE. Based on the reported data of the first and the second COVID-19 epidemics in Beijing and simulations, it determines the parameters of SARDDE, r… Show more

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Cited by 6 publications
(31 citation statements)
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“…A recommendation to avoid multiple outbreaks of an epidemic is competent authorities should at least maintain preventive and control measures implemented 7 days after inflection turning point until all new infections have been cleared [3].…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…A recommendation to avoid multiple outbreaks of an epidemic is competent authorities should at least maintain preventive and control measures implemented 7 days after inflection turning point until all new infections have been cleared [3].…”
Section: Discussionmentioning
confidence: 99%
“…Assume that the dynamics of an epidemic can be described by m-time intervals, which correspond different prevention and control measures, and medical effects. At ith time interval, the model has the form [2,3]:…”
Section: Analysis and Simulations Of Covid-19 Epidemics In Shanghaimentioning
confidence: 99%
“…In order to estimate numerically the transmission rates and blocking rates to symptomatic and asymptomatic infections, we need to set up mathematic models (similar to [12, 14, 15]) to simulate the dynamics of spread of infection disease. Because we modeling uniformly the epidemic situations appeared in different provinces and regions, the transmission rates β ij of symptomatic infections and asymptomatic infections are changing over different transmission intervals.…”
Section: Analysis and Simulations Of Covid-19 Epidemics In Chinamentioning
confidence: 99%
“…Even on day 90, the blocking rates only reach to about 87.6% and 39.0% (see Table 1), respectively. However, for the first and second epidemics in Beijing and the five wave epidemics in Shanghai, the blocking rates reached to over 95% in one month [13][14][15]. (7) The recovery rates κ(l) and κ a (l) of the symptomatic individuals and asymptomatic individuals waved.…”
Section: Mainland Epidemicsmentioning
confidence: 99%
“…Assume that the process of the spread of an infectious disease are divided into m time intervals, representing different prevention control measures and treatment efficacy, respectively. Over the lth time interval, the model has the form (similar to [11, 13, 14]): where Θ 1 ( i ) = (1 − θ 1 ( l )) and Θ 2 ( l ) = (1 − θ 2 ( l )) ( l = 1, …, m ) represent the blocking rates to symptomatic and asymptomatic infections, respectively. ( I ) and I a represent the numbers of current symptomatic individuals and current asymptomatic individuals charged in medical observations, respectively.…”
Section: Summaries Analysis and Simulations Of Recent Shanghai Epidemicmentioning
confidence: 99%