Positive on/for/with

How do you say?
We have now a vaccine and lower numger of people who are positive on COVID-19.

Is it positive on/by/with/to?

In your sentence, the correct usage would be the preposition with. We use with to mean “possessing”.

Here’s a neat little website I found that goes into more details: How to Use WITH & BY ⚡️English Prepositions | Common Grammar Mistakes | mmmEnglish

We now have a vaccine, so the number of people who are positive with COVID-19 has decreased.

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Thank you!