2020
DOI: 10.1101/2020.04.09.20059329
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A Recursive Bifurcation Model for Predicting the Peak of COVID-19 Virus Spread in United States and Germany

Abstract: Prediction on the peak time of COVID-19 virus spread is crucial to decision making on lockdown or closure of cities and states. In this paper we design a recursive bifurcation model for analyzing COVID-19 virus spread in different countries. The bifurcation facilitates a recursive processing of infected population through linear least-squares fitting. In addition, a nonlinear least-squares fitting is utilized to predict the future values of infected populations. Numerical results on the data from three countri… Show more

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Cited by 6 publications
(6 citation statements)
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“…= Total infected population (with/without detected including death) at the end of ℎ day. In this model the updation of alive non-detected infected population is done by equation (6) and further the distribution factors can be updated by equation (7). If mobilization of any zone is stopped then in this model the corresponding factors have to be zero.…”
Section: = − (5)mentioning
confidence: 99%
See 1 more Smart Citation
“…= Total infected population (with/without detected including death) at the end of ℎ day. In this model the updation of alive non-detected infected population is done by equation (6) and further the distribution factors can be updated by equation (7). If mobilization of any zone is stopped then in this model the corresponding factors have to be zero.…”
Section: = − (5)mentioning
confidence: 99%
“…One of the preliminary reasons behind such rapid spreading of the disease has been identified as the contagious nature of the alleged virus which enables the cumulative increase in the number of infections through daily anthropologic activities that require social interactions [5]. Also the stability property of the disease free equilibrium of COVID-19 indicates that proper vaccination for cure from this virus is not yet developed [6]. Therefore, social distancing and rapid detection test have been evolved as the most acceptable preventive measures in recent time [7,8].…”
Section: Introductionmentioning
confidence: 99%
“…One of the preliminary reasons behind such rapid spreading of the disease has been identified as the contagious nature of the alleged virus which enables cumulative increase in the number of infections through daily anthropologic activities that require social interactions [5] . Also the stability property of the disease free equilibrium of COVID-19 indicates that proper vaccination for cure from this virus is not yet developed [6] . Therefore, social distancing and rapid detection test have been evolved as the most acceptable preventive measures in recent time [ 7 , 8 ].…”
Section: Introductionmentioning
confidence: 99%
“…The LSA is one of the most popular estimation methods in machine learning and has been used in many scientific and engineering applications [30][31][32], including epidemiology, for calibrating mathematical models' parameters based on time series data while also generating disease forecasts in the near or long terms [14,[33][34][35]. While it has been used for centuries as a classic curve-fitting technique [31,32], it is still a basic tool in modern data science because of its least-squares Euclidean ℓ 2 -norm minimization that is advantageous over other norms and metrics, such as the ℓ ∞ and ℓ 1 norms, granting reduced sensibility to outliers due to the squared error [32,36].…”
Section: Introductionmentioning
confidence: 99%