In a previous article (Read
more here), a Simple Logistic Function (SLF) was chosen to model the
Covid-19 growth trend in Malaysia for the 1st phase of the Movement
Control Order (MCO). During that said period,
the SLF model appeared to be adequate as the goodness-of-fit of the curve was
reasonable. However, at the end of the 2nd
phase of MCO (14-Apr-2020), the SLF model was no longer adequate to explain the
development of Covid-19 in Malaysia.
A more robust model, Generalised
Logistic Function (GLF) was now needed (Read more
here), as suggested by some international research papers (Read more here). There are a couple of reasons why the SLF
model is inadequate to predict the growth of the Covid-19. Firstly, the Covid-19 development was not in
a closed-system. SLF is commonly used in
studying the growth of bacteria in a laboratory. In the Covid-19 case, although MCO was implemented,
it is not a true closed-system as there were leakages that impacted the growth
pattern. This may include test capacity, asymptomatic patients, previous
undisclosed linked clusters, and MCO violations. Secondly, the previous model might appear
good due to insufficient data points. As
time passed, more data points were available to show the actual trend of the
development.
The GLF, in mathematical form, is
The constants A, K, C,
Q, B and v are determined by minimizing the sum of square
of the 21-Days rate of change between the actual cumulative cases and the GLF. Graph 1 is the cumulative of positive cases, Graph
2 is the 21-Day rate of change, and Graph 3 is the daily new cases trend.
Based on the fitted GLF, the predicted median
total cases are expected to be around 6400 by the middle of June 2020, worst
case 6800, and best case 6100. This
number is derived purely from a quantitative approach. It does not factor in traffic movements
(flight routes re opened), new vaccine development and other qualitative
measures. Nevertheless, the number could
be reduced further if we abide by the MCO, and practice good social
distancing. As at 23-Apr-2020, the daily
new cases trend is moving towards the best- case scenario. That simply means by
the end of Phase 3 MCO, the daily new cases would go below 30 as depicted in
Graph 3. Hopefully, then we can restart the economy.
So please Stay@Home for now!
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