Data do appear to indicate that the virus may be losing its edge. The statistics website Worldometers, for instance, shows an unmistakably lopsided trend: Though the number of confirmed global cases has been increasing since the start of the pandemic, the number of global deaths has been trending downward since mid-April.
I think the increasing number of cases is caused by two things: 1. Increasing numbers of tests; 2. In many countries and U.S. states they are now including the antibody tests showing previous cases. I do not think the case mortality rate is falling. Of course it is hard to say.
The number of global deaths is falling because the pandemic is under control in Asia and the EU, and both cases and deaths are falling rapidly. It is not under control in the U.S., but at least it is not increasing overall. It is increasing in some states where they are doing nothing to stop it, and falling in states which take action, especially in what was the epicenter in the northeast. Many U.S. states are undercounting infections, and 26 states are increasing or stable:
More than half of states may be undercounting coronavirus cases by not following CDC guidelines
https://www.cnn.com/2020/06/09…avirus-tuesday/index.html
Meanwhile, both cases and deaths are increasing rapidly in the third world, but they are severely undercounted, or not counted at all. Brazil is the worst example. A few days ago the president ordered the government to stop reporting any statistics. He claimed the states were blaming all deaths on the coronavirus in order to get federal funding. He replaced the health minister with a general who has no medical training or experience in public health. I do not know if he followed through on his plan to stop reporting all statistics. I don't trust their numbers in any case.
Iran seems to be honest, since they have reported a second wave.
Meanwhile, Japan reported 44 cases today, but 15 were from "port of entry" meaning the airport where people are returning to the country. So that's 29 from infections in the country, and 21 the day before. Zero deaths.