I have known men be close to having a nervous breakdown when their woman/wife leaves them. Many men need women, and the longer they have been with them, the harder it is for them to cope when the relationship ends, or their wife dies...
However, I do agree with a poster above who said that they will try and get with another woman much sooner than a woman will try to get with another man (after a relationship ends/breaks down, or her partner dies...)
Basically, men struggle to cope alone. Women don't.
If my DH died tomorrow (we're both 60-ish, been together nearly 35 years,) I would never get into another relationship again. Couldn't be arsed, and would be fine alone. Also, I am a slightly chubby woman in my late 50s, and if I were to go for another man, I would not want a man around 60 or older, I would want a man maybe 40 to 50 years old. But a man that age isn't going to want a chubby woman who is nearly 60. Most will want a woman who is 10 or more years younger.
So I would stay on my own.
DH would have a breakdown if I left him, and wouldn't know where to turn, but I reckon he would be in a new relationship within 6 months.