I don't think there's enough evidence on COVID19 to say much, but this blog post has suggestive evidence from Google Search Trends that previous coronavirus infections have dropped steadily over the course of March and April. (Presumably this data is dominated by the northern hemisphere.)
It seems like the corona virus has spread mostly in cold climates on the northern hemisphere (in winter) and there are very few (confirmed) cases in Africa, South America and Australia. On the one hand the first two probably don't have the capabilities for testing on a large scale, but they should have it easier to detect the virus, since it can't be confused for the common cold. Could it be that the virus is transmitted (well) only in cold climates? And would that mean that the danger in Europe/the US will reduce drastically by May or June?