Department of Mathematics, National Institute of Technology, Uttarakhand, Srinagar (Garhwal), Uttarakhand 246174, India.
Department of Mathematics and Science Education, Harran University, 63190 Sanliurfa, Turkey.
Gene. 2024 Oct 30;926:148586. doi: 10.1016/j.gene.2024.148586. Epub 2024 May 22.
This study introduces a detailed compartmental model developed to understand the complex dynamics of COVID-19 transmission, focusing on the Delta and Omicron variants in India. The model tracks disease progression through different population compartments, considering factors like vaccination, time-dependent transmission, economic burden and COVID-19 death rates, loss of vaccine-induced immunity, and the transition of asymptomatic cases to recovery. The model is validated against established epidemiological knowledge and real-world data, emphasizing dynamic parameterization and accurate representation of immunity dynamics. The basic reproduction number for both variants is calculated, and sensitivity analysis for various parameters is conducted. Time-dependent parameters are estimated using the discrete inverse method. The study also explores the economic burden, impact of different types of masks, vaccine efficacy, and vaccine-induced immunity through numerical analysis.
本研究介绍了一个详细的房室模型,旨在理解 COVID-19 传播的复杂动态,重点关注印度的 Delta 和 Omicron 变体。该模型通过不同的人群隔室跟踪疾病进展,考虑了疫苗接种、时变传播、经济负担和 COVID-19 死亡率、疫苗诱导免疫丧失以及无症状病例向康复的转变等因素。该模型经过了既定的流行病学知识和现实世界数据的验证,强调了动态参数化和对免疫动力学的准确表示。计算了两种变体的基本繁殖数,并对各种参数进行了敏感性分析。使用离散逆方法估计时变参数。该研究还通过数值分析探讨了经济负担、不同类型口罩的影响、疫苗效力和疫苗诱导免疫。