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arXiv 2004.09912q-bio.PEphysics.soc-ph
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COVID 19,印度特定疾病饱和、增长和衰退的现实模型

COVID 19, a realistic model for saturation, growth and decay of the India specific disease

V. K. Jindal

摘要:

这项工作提出了一种简单而现实的方法来处理印度COVID-19患者的现有数据并预测情况。建议的模式是基于现有的事实,例如封锁的开始(政府在第25天宣布)、τ0和由平均寿命恢复时间τ1(通常约为14天)决定的恢复模式。2020年3月2日至4月16日期间感染COVID-19患者的数据已用于拟合感染、康复和死亡人数的演变。一个缓慢上升的指数增长,与R 0接近1/6,被发现代表感染的计数表明几乎是线性上升。数据的其余增长、饱和和衰减可通过结合锁定时间控制的R 0来理解地建模,具有正常误差函数,如在τ2的某个时间范围内衰减到零的行为。恢复平均寿命τ1决定了峰值和衰减。对未来几天的预测结果是有趣和乐观的。引入的时间常数的基础上的实验数据的恢复率,以及确定锁定后的R 0的活动的时间跨度是有争议的主题,并提供了可能性,引入触发因素来改变这些更适合于模型。该模型可以扩展到其他社区自己的R 0和恢复时间参数。

英文摘要:

This work presents a simple and realistic approach to handle the available data of COVID-19 patients in India and to forecast the scenario. The model proposed is based on the available facts like the onset of lockdown (as announced by the Government on 25th day, τ0 and the recovery pattern dictated by a mean life recovery time of τ1 ( normally said to be around 14 days). The data of infected COVID-19 patients from March 2, to April 16, 2020 has been used to fit the evolution of infected, recovery and death counts. A slow rising exponential growth, with R0 close to 1/6, is found to represent the infected counts indicating almost a linear rise. The rest of growth, saturation and decay of data is comprehensibly modelled by incorporating lockdown time controlled R0, having a normal error function like behaviour decaying to zero in some time frame of τ2 . The recovery mean life time τ1 dictates the peak and decay. The results predicted for coming days are interesting and optimistic. The introduced time constants based on experimental data for both the recovery rate as well as for determining the time span of activity of R0 after the lockdown are subject of debate and provide possibility to introduce trigger factors to alter these to be more suited to the model. The model can be extended to other communities with their own R0 and recovery time parameters.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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