01.
arXiv (math.PR)
2026-06-11
Stochastic epidemic model with varying infectivity and waning immunity: the law of large numbers with unbounded infectivity
Authors:
arXiv:2606.11845v1 Announce Type: new Abstract: We revisit the large population limit of our epidemic model with infection age dependent infectivity and progressive immunity waning, under the assumption that the supremum in $t$ of the random infectivity function has a finite expectation, while the previous proofs assumed that this supremum admits a deterministic upper bound.