You seem pretty stuck on having the math prove things.
So, how about this statement:
“never develop symptoms yet PROBABLY spread the virus”.
Can you provide the mathematical steps in finding “probably”?
Is it long-hair stuff involving derivatives and integrals or just plain old “math”.
Compared to most other viral infections, SARS-CoV-2 produces an unusually high level of viral particles in the upper respiratory tract specifically the nose and mouth. When those viral particles escape into the environment, that is called viral shedding.
Researchers have found that pre-symptomatic people shed the virus at an extremely high rate, similar to the seasonal flu. But people with the flu dont normally shed virus until they have symptoms.
The location of the shedding is also important. SARS-CoV the virus that caused the SARS epidemic in 2003 does not shed very much from the nose and mouth. It replicates deep in the lungs. Since SARS-CoV-2 is present in high numbers in a persons nose and mouth, it is that much easier for the virus to escape into the environment.
No probably but simple numbers. Up to 14 days with no symptoms. During that time you spread the virus.