Institute of Mathematical Sciences, Faculty of Science, Universiti Malaya, 50603, Kuala Lumpur, Malaysia.
Institute of Biological Sciences, Faculty of Science, Universiti Malaya, 50603, Kuala Lumpur, Malaysia.
Acta Biotheor. 2022 Nov 17;71(1):2. doi: 10.1007/s10441-022-09453-3.
A modified version of the SEIR model with the effects of vaccination and inter-state movement is proposed to simulate the spread of COVID-19 in Malaysia. A mathematical analysis of the proposed model was performed to derive the basic reproduction number. To enhance the model's forecasting capabilities, the model parameters were estimated using the Nelder-Mead simplex method by fitting the model outputs to the observed data. Our results showed a good fit between the model outputs and available data, where the model was then able to perform short-term predictions. In line with the rapid vaccination program, our model predicted that the COVID-19 cases in the country would decrease by the end of August. Furthermore, our findings indicated that relaxing travel restrictions from a highly vaccinated region to a low vaccinated region would result in an epidemic outbreak.
提出了一个带有疫苗接种和州际流动效应的 SEIR 模型的改进版本,以模拟 COVID-19 在马来西亚的传播。对所提出的模型进行了数学分析,以推导出基本繁殖数。为了提高模型的预测能力,使用 Nelder-Mead 单纯形法通过将模型输出拟合到观测数据来估计模型参数。我们的结果表明模型输出与可用数据之间具有良好的拟合度,模型随后能够进行短期预测。与快速疫苗接种计划一致,我们的模型预测该国的 COVID-19 病例将在 8 月底前减少。此外,我们的研究结果表明,从高疫苗接种地区到低疫苗接种地区放宽旅行限制将导致疫情爆发。