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Ding W, Wang QG, Zhang JX. Analysis and prediction of COVID-19 epidemic in South Africa. ISA TRANSACTIONS 2022; 124:182-190. [PMID: 33551132 PMCID: PMC7842146 DOI: 10.1016/j.isatra.2021.01.050] [Citation(s) in RCA: 3] [Impact Index Per Article: 1.5] [Reference Citation Analysis] [Abstract] [Key Words] [MESH Headings] [Track Full Text] [Figures] [Subscribe] [Scholar Register] [Received: 07/29/2020] [Revised: 12/01/2020] [Accepted: 01/25/2021] [Indexed: 06/12/2023]
Abstract
The coronavirus disease-2019 (COVID-19) has been spreading rapidly in South Africa (SA) since its first case on 5 March 2020. In total, 674,339 confirmed cases and 16,734 mortality cases were reported by 30 September 2020, and this pandemic has made severe impacts on economy and life. In this paper, analysis and long-term prediction of the epidemic dynamics of SA are made, which could assist the government and public in assessing the past Infection Prevention and Control Measures and designing the future ones to contain the epidemic more effectively. A Susceptible-Infectious-Recovered model is adopted to analyse epidemic dynamics. The model parameters are estimated over different phases with the SA data. They indicate variations in the transmissibility of COVID-19 under different phases and thus reveal weakness of the past Infection Prevention and Control Measures in SA. The model also shows that transient behaviours of the daily growth rate and the cumulative removal rate exhibit periodic oscillations. Such dynamics indicates that the underlying signals are not stationary and conventional linear and nonlinear models would fail for long-term prediction. Therefore, a large class of mappings with rich functions and operations is chosen as the model class and the evolutionary algorithm is utilized to obtain the optimal model for long term prediction. The resulting models on the daily growth rate, the cumulative removal rate and the cumulative mortality rate predict that the peak and inflection point will occur on November 4, 2020 and October 15, 2020, respectively; the virus shall cease spreading on April 28, 2021; and the ultimate numbers of the COVID-19 cases and mortality cases will be 785,529 and 17,072, respectively. The approach is also benchmarked against other methods and shows better accuracy of long-term prediction.
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Affiliation(s)
- Wei Ding
- Faculty of Electrical Engineering and Automation, Changshu Institute of Technology, Changshu, 215500, PR China; Institute for Intelligent Systems, Faculty of Engineering and the Built Environment, University of Johannesburg, Johannesburg, 2006, South Africa
| | - Qing-Guo Wang
- Institute of Artificial Intelligence and Future Networks, Beijing Normal University at Zhuhai; BNU-HKBU United International College, Zhuhai, 519000, PR China.
| | - Jin-Xi Zhang
- State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Shenyang, 110819, PR China
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Khan B, Duncan I, Saad M, Schaefer D, Jordan A, Smith D, Neaigus A, Des Jarlais D, Hagan H, Dombrowski K. Combination interventions for Hepatitis C and Cirrhosis reduction among people who inject drugs: An agent-based, networked population simulation experiment. PLoS One 2018; 13:e0206356. [PMID: 30496209 PMCID: PMC6264850 DOI: 10.1371/journal.pone.0206356] [Citation(s) in RCA: 8] [Impact Index Per Article: 1.3] [Reference Citation Analysis] [Abstract] [MESH Headings] [Grants] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 01/24/2018] [Accepted: 10/11/2018] [Indexed: 01/17/2023] Open
Abstract
Hepatitis C virus (HCV) infection is endemic in people who inject drugs (PWID), with prevalence estimates above 60% for PWID in the United States. Previous modeling studies suggest that direct acting antiviral (DAA) treatment can lower overall prevalence in this population, but treatment is often delayed until the onset of advanced liver disease (fibrosis stage 3 or later) due to cost. Lower cost interventions featuring syringe access (SA) and medically assisted treatment (MAT) have shown mixed results in lowering HCV rates below current levels. However. little is known about the potential cumulative effects of combining DAA and MAT treatment. While simulation experiments can reveal likely long-term effects, most prior simulations have been performed on closed populations of model agents—a scenario quite different from the open, mobile populations known to most health agencies. This paper uses data from the Centers for Disease Control’s National HIV Behavioral Surveillance project, IDU round 3, collected in New York City in 2012 to parameterize simulations of open populations. To test the effect of combining DAA treatment with SA/MAT participation, multiple, scaled implementations of the two intervention strategies were simulated. Our results show that, in an open population, SA/MAT by itself has only small effects on HCV prevalence, while DAA treatment by itself can lower both HCV and HCV-related advanced liver disease prevalence. More importantly, the simulation experiments suggest that combinations of the two strategies can, when implemented together and at sufficient levels, dramatically reduce HCV incidence. We conclude that adopting SA/MAT implementations alongside DAA interventions can play a critical role in reducing the long-term consequences of ongoing HCV infection.
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Affiliation(s)
- Bilal Khan
- Department of Sociology, University of Nebraska, Lincoln NE, United States of America
| | - Ian Duncan
- Department of Sociology, University of Nebraska, Lincoln NE, United States of America
| | - Mohamad Saad
- Department of Sociology, University of Nebraska, Lincoln NE, United States of America
| | - Daniel Schaefer
- Department of Sociology, University of Nebraska, Lincoln NE, United States of America
| | - Ashly Jordan
- Rory Meyers College of Nursing, New York University, New York, NY, United States of America
- Center for Drug Use and HIV Research, New York University, New York, NY, United States of America
| | - Daniel Smith
- Rory Meyers College of Nursing, New York University, New York, NY, United States of America
| | - Alan Neaigus
- Department of Epidemiology, Mailman School of Public Health, Columbia University, New York, NY, United States of America
| | - Don Des Jarlais
- Icahn School of Medicine at Mount Sinai, New York, NY, United States of America
| | - Holly Hagan
- Rory Meyers College of Nursing, New York University, New York, NY, United States of America
- Center for Drug Use and HIV Research, New York University, New York, NY, United States of America
| | - Kirk Dombrowski
- Department of Sociology, University of Nebraska, Lincoln NE, United States of America
- * E-mail:
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