HONG KONG—As the coronavirus epidemic takes hold in far more nations all over the globe, China is trying to cease the sickness from becoming repatriated by travelers arriving from abroad.

A amount of Chinese municipal governments are imposing stricter health screenings on people moving into China and, in some scenarios, even quarantine steps on all those arriving from coronavirus-afflicted nations. These controls appear right after Beijing waged a concerted marketing campaign urging other governments not to impose restrictions on vacation to and from China,…