Third of third of common colds are caused by coronaviruses and they they show clear seasonal pattern (SARS don't because it's mostly human-animal transmitted). You can't say for certain that it's the case for this virus but it's very likely.
In regards to temperature, the virus can remain intact at 4 degrees or 10 degrees for a longer period of time. But at 30 degrees then you get inactivation. And High humidity the virus doesn’t like it either. That’s why I think Sars stopped around May and June in 2003 – that’s when there’s more sunlight and more humidity. The environment is a crucial factor. The environment will be unfavourable for growth around May. The evidence is to look at the common cold – it’s always during winter. So the natural environment will not be favourable in Asia in about May.
Totally different from "it will burn itself out by May", which multiple experts across multiple fields increasingly consider uncertain at best.
Additionally, even if there is seasonality, it may be that this has already spread too far to die out completely and cases will rise again in the northern hemisphere toward the end of 2020.