Numerical Prediction for Spreading Novel Coronavirus Disease in India Using Logistic Growth and SIR Models

S. Saha, P. Biswas, Sujith S Nath
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Abstract

At present, Novel COVID-19 has become the greatest issue in the world which was first detected in the city of Wuhan of Hubei province in China in the month of December 2019. SARS-COV-2 is responsible for the spreading of corona virus disease. Within a very short time period, it has spread very fast throughout the world. Beyond all the boundaries of medical science, nowadays COVID-19 has become a main interesting topic in many research fields such as Applied Mathematics, economy, politics, up to the living room. The aim of this study is to investigate the dynamic behavior of pandemic COVID-19 which based on real-time data. The logistic growth model and SIR model has been employed to study the different four characteristics of COVID-19, such as low growth state, moderate growth state, transition state, and steady-state. The models have been validated with the results of real-time data. Moreover, the model presents a rapid change due to the unavailability of precautions. Furthermore, some parameters have been implemented to predict the COVID-19 status up to 5 th Jan 2021. From these models, it is predicted that the total number of infected peoples reaches 10M up to 5 th Jan 2021. It has also been revealed that with the support of lockdown, social alertness, increasing testing facility, and social distancing recovery growth rate of infected persons increases with the increase of time.
基于Logistic增长和SIR模型的新型冠状病毒病在印度传播的数值预测
2019年12月在中国湖北省武汉市首次发现的新型冠状病毒肺炎已成为目前世界上最大的问题。SARS-COV-2是冠状病毒病传播的罪魁祸首。在很短的时间内,它在世界范围内迅速传播。如今,COVID-19已经超越了医学科学的所有界限,成为应用数学、经济、政治甚至客厅等许多研究领域的主要有趣话题。本研究的目的是基于实时数据研究COVID-19大流行的动态行为。采用logistic增长模型和SIR模型分别研究了COVID-19的低增长状态、中等增长状态、过渡状态和稳态四种不同的特征。通过实测数据对模型进行了验证。此外,由于缺乏预防措施,模型呈现快速变化。此外,还实施了一些参数来预测截至2021年1月5日的COVID-19状态。根据这些模型,预计到2021年1月5日,感染总人数将达到1000万。据了解,在封锁措施、社会警觉性、增加检测设施、保持社会距离等措施的支持下,感染者的恢复速度随着时间的延长而增加。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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