A group of Italian researchers recommends that obese individuals double their self-isolation time to 28 days, using research from influenza epidemics to argue that such individuals are more susceptible to infections similar to COVID-19 and can be contagious for longer periods of time.

https://www.forbes.com/sites/alexandrasternlicht/2020/05/11/...

it has been clearly illustrated that obese patients are potentially more vulnerable to COVID-19 and more contagious than lean patients

https://www.rcpjournals.org/content/clinmedicine/20/4/e109

Due to prolonged viral shedding, quarantine in obese subjects should likely be longer than normal weight individuals.

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7130453/