Shekhar's Science Blog

Monday, May 18, 2020

Countries with Turnaround in COVID-19 Confirmed Cases: Part 3


Countries with Turnaround in COVID-19 Confirmed Cases: Part 3

Dr Himanshu Shekhar

Introduction: Daily confirmed cases for Pandemic Covid-19 in 11 countries namely New Zealand, Switzerland, Germany, Israel, Japan, South Korea, Australia, Malaysia, Greece, Croatia and Iceland, are simulated using normal distribution curves in previous 4 post. These countries are selected because they are recording less than 50 confirmed cases daily as on 17.05.2020. Additionally, these countries have total number of confirmed cases exceeding 1500. The analysis is undertaken to understand the behaviour of turnaround for the daily confirmed cases, so that prediction can be made for turnaround in India.

Features: Normal distribution curve is taken for analysis because the actual number of confirmed cases are fluctuating and it is difficult to derive any conclusion from them. The normal distribution curves are made to match the actual number of daily confirmed cases, so that derived conclusions can be extended further.

Since peak values have wide variation, three superimposed plots are generated. First plot contains normal distribution curve for Germany, only. The second plot contains Switzerland, Israel, Japan, South Korea, and Australia. The third plot contains data for Malaysia, Greece, Croatia, Iceland and New Zealand. These curves are shown below.










Salient Parameters from the normal distribution curves, mentioned in previous 4 posts for these 11 countries are tabulated to understand the nature.

Country
Peak Value
Date of peak
Days to reach peak
Total Time in days
Germany
6190
01.04.2020
92-65=27
135-65=70
Switzerland
1200
01.04.2020
92-62=30
122-62=60
Israel
846
06.04.2020
97-68=29
126-68=58
Japan
600
17.04.2020
108-74=34
142-74=68
South Korea
800
03.03.2020
63-51=12
75-51=24
Australia
500
28.03.2020
88-68=20
108-68=40
Malaysia
194
27.03.2020
87-60=27
142-60=82
Greece
100
30.03.2020
90-60=30
120-60=60
Croatia
87
27.03.2020
89-62=27
134-62=72
Iceland
100
28.03.2020
87-60=27
114-60=54
New Zealand
86
92
27.03.2020
04.04.2020
7
15
22

From the table, it is clear that three countries New Zealand, South Korea and Australia had a very small spell of Pandemic and they controlled it very fast (within 30 days).  Other level of countries took around 60 days to control the pandemic, with Malaysia taking around 82 days (around 3 months). The control is not proportional to the peak value also and higher peak value of confirmed cases are controlled in less duration in certain cases, as can be seen from the table.

Prediction for India: Assuming that the behaviour of Pandemic will be a Normal Distribution curve for India, from the data available till 17.05.2020, various normal distribution curves are fitted and prediction for the turnaround in India is estimated. As per first estimate, as shown below, the peak number of daily confirmed cases will reach 5000 and after that turnaround will starts. This is a very optimistic estimate and turnaround is supposed to take place on 29.05.2020.



Even if, a slightly pessimistic estimate of peak daily confirmed cases of 6000 is assumed, the normal distribution curve is shown below. As per this, turnaround is expected in India on 08.06.2020. 




Calculation is also carried out for a highly optimistic case, where it is assumed that peak daily confirmed cases in India is restricted to 4500, then turnaround is expected on 21.05.2020. It seems unlikely, but it may be true. The variation is shown below for this estimate.



Conclusion: Analysis of 11 countries, using normal distribution curve is carried out to understand the behaviour of Pandemic control. These 11 countries have displayed control on Pandemic and have variation expressed as Normal Distribution Curve. Based on this analysis, Normal Distribution curve is generated for India, based on data available till 17.05.2020. Most optimistic estimate of achieving a daily peak of confirmed cases as 5000, the turnaround in India is expected on 29.05.2020. If the daily confirmed cases rises to 6000, then turnaround will take place on 08.06.2020. I sincere hope that this estimate of Turnaround come true for India.

S.No
Peak
Turnaround
1
4500
21 May 2020
2
5000
29 May 2020
3
6000
08 June 2020



Dr Himanshu Shekhar


10 comments:

  1. Replies
    1. Sir,
      The situation is bad again with the rapid surge on 18.05 & 19.05. I was expecting a restricted growth, but it is faster than my assumption. Let's hope for the best.

      Delete
  2. Why you have left out America from the case study? Today India witness more than 5200 new confirm case in last 24 hours. Hope peak value will be 5400. So even then, turnaround time may come in first week of June surely. Thanks.

    ReplyDelete
    Replies
    1. The confirmed cases are increasing at a faster pace than I thought. I was expecting 1 lakh by 21.05, but it is attained probably on 19.05. I am finding that Mondays are difficult for India and a jump is seen on most of the week-starts.

      Delete
    2. America is still struggling to control, but some downward trend is there. I have added data for America in next post.

      Delete
  3. Dr.Himanshu very deep study & excellent predicted

    ReplyDelete
    Replies
    1. Thank you Kulkarni saheb. Great to have your motivating comments.

      Delete
  4. above comments sent by P.G.Kulkarni.

    ReplyDelete