INDIAN JOURNAL OF SCIENCE AND TECHNOLOGY
RESEARCH ARTICLE
OPEN ACCESS
Received: 02.06.2021
Accepted: 10.10.2021
Published: 10.12.2021
Citation: Soni M, Sharma RK,
Sharma S (2021) Uncertainty in the
Spread of COVID-19: An Analysis in
the Context of India. Indian Journal
of Science and Technology 14(42):
3157-3176. https://doi.org/
10.17485/IJST/v14i42.1004
*
Corresponding author.
sonimohit895@gmail.com
Funding: None
Competing Interests: None
Copyright: © 2021 Soni et al. This is
an open access article distributed
under the terms of the Creative
Commons Attribution License, which
permits unrestricted use,
distribution, and reproduction in
any medium, provided the original
author and source are credited.
Published By Indian Society for
Education and Environment (iSee)
ISSN
Print: 0974-6846
Electronic: 0974-5645
Uncertainty in the Spread of COVID-19:
An Analysis in the Context of India
Mohit Soni
1*
, Rajesh Kumar Sharma
1
, Shivram Sharma
2
1 Department of Mathematics, Government Holkar Science College, Indore, M. P, India
2 Government P. G. College, Guna, M. P, India
Abstract
Objectives: Prevention measures play an important role in controlling
infectious diseases. We eagerly want to know how to observe the impact of
prevention measures, just by looking at the pandemic curve. To explain this
impact, we observe that the graphical representation of an infectious disease
on a logarithmic scale is more suitable compared to a linear scale. To achieve
our result, we also verified that the curve of the cumulative confirmed cases
of pandemic COVID-19 follows an almost exponential growth. Furthermore,
we tested the flattening of the logarithmic curve, which indicates the effect of
prevention measures are working well. Methods: We use the numerical and
statistical method introduced by Baruh. We divided the cumulative confirmed
COVID-19 data of 240 days into 12 equal parts (20 days per part) after the
starting of the vaccination programme in India. We apply the exponential
growth model to check the exponential growth of cumulative confirmed cases
of COVID-19 on a linear scale and verify it by the comparison of the actual and
the predicted values obtained by exponential model. Also, we compute the first
difference of logarithmic cumulative confirmed cases and find its strong linear
relationship with time ’t’. Furthermore, we apply the student t-test to confirm
the linear relationship between them. We find the number of days require to
flatten the logarithmic curve. Findings: Our results show that the uncertainty
of the cumulative confirmed cases of COVID-19 spread pattern may continue
in the upcoming days. The logarithmic curve would be flattened within 127
days from 23
rd
August 2021. The logarithmic scale explains the impact of the
prevention measures better than the linear scale. Because the flattening of
the logarithmic curve appears earlier than the flattening of the linear scale.
Novelty: In the context of India, our study exhibits the importance of graphic
presentation of COVID-19 data and compare between the logarithmic scales to
the linear scale. As per our knowledge, this kind of study is new in the context
of India.
Keywords: COVID-19; Exponential growth model; Linear regression; Student
t-test; Cumulative confirmed cases; Logarithmic scale
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