Mask vs No Mask Calculator
Estimate how face mask use reduces COVID-19 transmission, effective reproduction number, and potential lives protected.
Mask vs No Mask Transmission Model
This calculator estimates how individual and population-wide mask use may reduce COVID-19 spread using a simplified reproduction-number model. It compares effective R, cumulative secondary infections over a chosen time window, and illustrative lives protected when mask adoption increases.
How Effective R Is Calculated
The baseline reproduction number R0 (default 2.5, range 2.4–4) represents transmission with no interventions. Mask adoption is entered as a percentage of the population wearing masks correctly. Combined mask efficacy depends on whether you wear a mask:
- When you wear a mask: combined efficacy = 2e − e² (protection in both directions).
- When you do not wear a mask: combined efficacy = 1 − e (protection from others' masks only).
Effective R = R0 × (1 − adoption × combined efficacy). Cumulative secondary infections are estimated over N days using a 5-day serial interval: infections ≈ ReffN/5.
Mask Filtration Efficiencies
Filtration values are based on common fabric and medical mask research (Konda et al., 2020). Cotton (~80%), silk (~54%), flannel (~57%), chiffon (~70%), surgical (~70%), N95 (~99%), and hybrid combinations are included. You may also enter a custom efficacy between 0 and 1.
Frequently Asked Questions
What R₀ value should I use?
COVID-19 R₀ without restrictions is commonly estimated between 2.4 and 4.0. The default of 2.5 is a reasonable starting point for early-pandemic, unmitigated spread.
What does effective R below 1 mean?
When effective R is below 1, each infected person transmits to fewer than one other person on average, and epidemic growth may decline over time.
How are lives saved estimated?
Lives saved is an illustrative figure based on the difference in cumulative secondary infections between wearing and not wearing a mask, multiplied by an approximate 1% infection fatality rate. Actual mortality varies by age, variant, and healthcare access.
Does this replace public health guidance?
No. This is a simplified educational model. Real epidemic dynamics depend on vaccination, distancing, variants, and many other factors not captured here.