A mathematical model that can help project the spread of infectious diseases like the seasonal flu may not be the best way to predict the spread of Covid-19, researchers, including one of Indian-origin, have reported.
Called the R-naught, or basic reproductive number, the model predicts the average number of susceptible people who will be infected by one infectious person.
It is calculated using three main factors — the infectious period of the disease, how the disease spreads and how many people an infected individual will likely come into contact with.
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Historically, if the R-naught is larger than one, infections can become rampant and an epidemic or more widespread pandemic is likely.
The Covid-19 pandemic had an early R-naught between two and three.
In a letter published in the journal Infection Control and Hospital Epidemiology, researchers have argued that lockdowns that have become necessary to help mitigate the Covid-19 pandemic have complicated predicting the disease’s spread by altering the normal mix of the population.
Arni Rao, a mathematical modeller at the Medical College of Georgia at Augusta University in the US and his co-authors instead suggested more of a dynamic, moment in time approach using a model called the geometric mean.
That model uses today’s number to predict tomorrow’s numbers.
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The current number of infections — in Augusta today, for example — is divided by the number of predicted infections for tomorrow to develop a more accurate and current reproductive rate.
While this geometric method can’t predict long term trends, it can more accurately predict likely numbers for the short term, the researchers said.
“The R-naught model can’t be changed to account for contact rates that can change from day to day when lockdowns are imposed,” Rao explained.
“In the initial days of the pandemic, we depended on these traditional methods to predict the spread, but lockdowns change the way people have contact with each other.”
A uniform R-naught is also not possible since the Covid-19 pandemic has varied widely in different areas of the country and world.
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Places have different rates of infection, on different timelines — hotspots like New York and California would have higher R-naughts. The R-naught also did not predict the current third wave of the Covid-19 pandemic.
“Different factors continuously alter ground-level basic reproductive numbers, which is why we need a better model,” Rao says.
Better models have implications for mitigating the spread of Covid-19 and for future planning, the authors said.