Accumulation of immunity in heavy-tailed sexual contact networks shapes mpox outbreak sizes.

Many countries affected by the global outbreak of mpox in 2022 have observed a decline in cases. Our mathematical model accounting for heavy-tailed sexual partnership distributions suggests that mpox epidemics can hit the infection-derived herd immunity threshold and begin to decline with less than 1% of sexually active MSM population infected regardless of interventions or behavioural changes. Consistently, we found that many countries and US states experienced an epidemic peak with cumulative cases of around 0.1-0.5% of MSM population. The observed decline in cases may not necessarily be attributable to interventions or behavioural changes primarily.