This has to be done using interval censored data, since the business establishments are observed every after 3 months.
As about the Cox (proportional hazards) take a look on this Site.
https://www.statsdirect.com/help/survival_analysis/cox_regression.htm
Hope it will help.
DOI https://doi.org/10.1201/9780203759028 Dynamics of Pond Aquaculture Hillary S Egna and Claude E Boyd
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