| Literature DB >> 35937245 |
Weiping Zhao1, Yunpeng Sun2, Ying Li2, Weimin Guan2.
Abstract
A major emphasis is the dissemination of COVID-19 across the country's many regions and provinces. Using the present COVID-19 pandemic as a guide, the researchers suggest a hybrid model architecture for analyzing and optimizing COVID-19 data during the complete country. The analysis of COVID-19's exploration and death rate uses an ARIMA model with susceptible-infectious-removed and susceptible-exposed-infectious-removed (SEIR) models. The logistic model's failure to forecast the number of confirmed diagnoses and the snags of the SEIR model's too many tuning parameters are both addressed by a hybrid model method. Logistic regression (LR), Autoregressive Integrated Moving Average Model (ARIMA), support vector regression (SVR), multilayer perceptron (MLP), Recurrent Neural Networks (RNN), Gate Recurrent Unit (GRU), and long short-term memory (LSTM) are utilized for the same purpose. Root mean square error, mean absolute error, and mean absolute percentage error are used to show these models. New COVID-19 cases, the number of quarantines, mortality rates, and the deployment of public self-protection measures to reduce the epidemic are all outlined in the study's findings. Government officials can use the findings to guide future illness prevention and control choices.Entities:
Keywords: ARIMA models; COVID-19; Pakistan; SIR and SIER models; hybrid modeling approach
Mesh:
Year: 2022 PMID: 35937245 PMCID: PMC9354929 DOI: 10.3389/fpubh.2022.923978
Source DB: PubMed Journal: Front Public Health ISSN: 2296-2565
Figure 1Conceptual framework of the SIER model.
Validation matric for COVID-19 confirm case (actual vs. predicted) without temperature.
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| Punjab | ARIMA | 20.176 | 407.102 | 0.025101 |
| LR | 19.49 | 380.011 | 0.023831 | |
| SVR | 18.17 | 330.19 | 0.026613 | |
| MLP | 17.35 | 301.181 | 0.020162 | |
| RNN | 14.5 | 210.451 | 0.019541 | |
| GRU | 13.44 | 180.178 | 0.01861 | |
| LSTM | 12.57 | 141.91 | 0.018111 | |
| Sindh | ARIMA | 20.176 | 405.102 | 0.026101 |
| LR | 20.49 | 380.011 | 0.028831 | |
| SVR | 19.17 | 330.19 | 0.027613 | |
| MLP | 18.35 | 307.181 | 0.020162 | |
| RNN | 15.53 | 210.451 | 0.019541 | |
| GRU | 14.41 | 180.178 | 0.01871 | |
| LSTM | 12.15 | 155.91 | 0.018511 | |
| KPK | ARIMA | 20.76 | 409.102 | 0.027101 |
| LR | 19.49 | 380.011 | 0.023831 | |
| SVR | 18.72 | 330.19 | 0.026613 | |
| MLP | 17.53 | 301.181 | 0.020162 | |
| RNN | 15.5 | 217.451 | 0.019541 | |
| GRU | 14.44 | 176.781 | 0.01891 | |
| LSTM | 13.51 | 146.91 | 0.017911 | |
| Baluchistan | ARIMA | 20.176 | 407.102 | 0.027101 |
| LR | 19.49 | 395.011 | 0.026131 | |
| SVR | 18.17 | 331.19 | 0.025613 | |
| MLP | 17.35 | 301.181 | 0.020162 | |
| RNN | 14.5 | 210.451 | 0.019541 | |
| GRU | 13.44 | 180.178 | 0.01891 | |
| LSTM | 11.65 | 135.91 | 0.017911 | |
| Azad Jammu | ARIMA | 19.1 | 407.102 | 0.025101 |
| & Kashmir | LR | 18.49 | 380.011 | 0.024831 |
| SVR | 17.11 | 330.19 | 0.026713 | |
| MLP | 16.35 | 305.181 | 0.0199162 | |
| RNN | 13.51 | 208.451 | 0.018941 | |
| GRU | 12.44 | 181.178 | 0.01881 | |
| LSTM | 11.57 | 138.91 | 0.018011 |
The results of SEIRD parameters.
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| Susceptible (S) | S = 33,000,000; 29,000,000; 27,000,000; 23,000,000; 21,000,000 | |
| S rate = 33,000,000/64000,000 | ||
| = 0.5156; 0.4531; 0.4218; 0.359375; 0.328125 | ||
| Exposed (E) | E = 99,219 | |
| E ratio = 99,219/64,000,000 |
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| = 0.001550; 0.001571; 0.001610; 0.00154; 0.001510 | ||
| Infected (I) | I = 2114 |
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| I ratio = 0.00003303 | ||
| Recovered (R) | R = 95,421; 13,600; 130137; 35,971; 15,916 |
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| R ratio = 95,421/64,000,000 | ||
| R = 0.00149; 0.0002125; 0.002033; 0.0005620; 0.0002486 | ||
| Deaths (D) | D = number of deaths due to COVID-19 | |
| = 2231; 2517; 1263; 148; 182 |
The results of SEIRV coefficients and portrayals.
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| β = | β = β0* | ( |
| β = | ||
| K = frequency of exposure | ||
| β0 = | ( | |
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| β1 = 6.31 | ||
| β2 = 1.11 | ||
| γ= Coefficient of | γ= 1/ | |
| Migration rate | ||
| γ= 1/14 = 0.071 | ( | |
| δ= Coefficient of Latency | δ | |
| =5.1 days | ||
| =1/5.1 | ||
| =0.196 |
The MAE and RMAE of the hybrid models.
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| MAE | 0.89 | 2.51 |
| RMSE | 2.72 | 30.71 |
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| MAE | 0.91 | 3.53 |
| RMSE | 3.86 | 34.66 |
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| MAE | 0.84 | 2.23 |
| RMSE | 3.11 | 28.47 |
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| MAE | 0.78 | 2.27 |
| RMSE | 2.31 | 30.17 |
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| MAE | 0.719 | 2.11 |
| RMSE | 2.29 | 24.56 |
The results of all provinces of population size.
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| Punjab | K | 1.58 | 12.531 |
| 1.15*K | 0.96 | 8.137 | |
| 1.30*K | 1.15 | 3.72 | |
| 1.45*K | 1.51 | 5.435 | |
| 1.60*K | 1.57 | 6.451 | |
| Sindh | K | 1.58 | 11.153 |
| 1.15*K | 1.17 | 8.731 | |
| 1.30*K | 2.15 | 4.72 | |
| 1.45*K | 3.53 | 4.735 | |
| 1.60*K | 3.87 | 5.415 | |
| Baluchistan | K | 1.66 | 10.531 |
| 1.15*K | 1.11 | 7.137 | |
| 1.30*K | 2.15 | 5.72 | |
| 1.45*K | 3.53 | 5.253 | |
| 1.60*K | 3.71 | 6.135 | |
| KPK | K | 1.37 | 9.531 |
| 1.15*K | 1.01 | 7.107 | |
| 1.30*K | 1.15 | 3.52 | |
| 1.45*K | 1.51 | 5.351 | |
| 1.60*K | 1.57 | 6.401 | |
| AJK | K | 1.28 | 8.131 |
| 1.15*K | 0.91 | 3.137 | |
| 1.30*K | 1.01 | 2.112 | |
| 1.45*K | 1.23 | 2.435 | |
| 1.60*K | 1.37 | 3.451 |
Determination of the impact of seven parameters.
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| MAE | 1.45 0.94 1.11 1.38 | 1.53 1.04 0.91 1.05 |
| RMSE | 11.07 3.91 7.65 7.871 | 9.51 6.04 3.41 4.11 |
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| MAE | 1.31 1.27 1.21 1.35 | 1.61 1.14 0.97 1.11 |
| RMSE | 13.11 3.73 7.28 7.371 | 8.53 5.84 3.57 5.23 |
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| MAE | 1.43 0.94 1.11 1.45 | 1.57 1.21 0.87 0.99 |
| RMSE | 9.37 4.10 6.18 7.717 | 7.35 5.04 4.91 5.91 |
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| MAE | 1.37 1.04 1.17 1.39 | 1.46 1.24 0.93 1.01 |
| RMSE | 9.07 4.21 5.81 6.671 | 7.55 6.11 3.87 6.01 |
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| MAE | 1.13 0.74 0.99 1.21 | 1.33 1.14 0.74 0.81 |
| RMSE | 8.71 2.52 6.56 5.713 | 6.31 4.41 3.91 4.61 |
Figure 2(A–F) The number of cases in Punjab.
Figure 6(A–F) The number of cases in Baluchistan.
Figure 7(A–E) The number of cases in all provinces of Pakistan.
Figure 8Tuning of SIER model parameter.
Figure 9Percentage variation of SIER model parameter.
Figure 10Graphical presentation of the vaccination per million.
Figure 11Visualization of observed vs. estimated COVID-19 cases.
Figure 12The population size impact on COVID-19 pandemic spread rate.