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How can maths fight a pandemic?

How do mathematical models of COVID-19 work and should we believe them? We talk to an epidemiologist, who has been working flat out to inform the government, to find out more.
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Myths of maths: The four colour theorem

It's one of mathematics' most famous results: every "map" can be coloured using at most four colours. What it doesn't usually apply to, however, are real maps.
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Perfectly even

After 2000 years of searching we only know of 51 perfect numbers and they're all even. What else do and don't we know about these rare and precious jewels of maths?

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Perfectly odd

Nobody has ever found an odd perfect number. So do they exist at all and, if yes, what do they look like?