Dear Claire, Thanks for your comment. Please note that the supplementary material can be accessed at https://link.springer.com/article/10.1186/s12879-025-11691-y. This link is also updated on the medRxiv page. We did not calculate the R0 value corresponding to the parameter estimates, as the R0 expression was calculated for the reduced autonomous system (without the impulsive MDA effect).

Thanks and regards, Indrajit