You are correct, a possible Dead Cat Bounce is forming on the stock markets. If it does form it will mean that prices have not reached their bottom, as this pattern is a bearish continuation pattern.
For a Dead Cat Bounce to form prices will need to break through support formed by the lows last week. If prices bounce off the support and go back up it could become a double bottom pattern, which is a reversal pattern. The double bottom would be confirmed if prices break above the recent high a couple of days ago.
Regarding the psychology of the dead cat bounce pattern, is that after a distinct and quick reversal of prices from recent highs you have 2 groups of market participants who create demand in the market. Firstly you have those who were short covering their short positions to take profits, and secondly you have those who are looking for a bargain buying at what they think is the low. So for a few days you have the bulls taking over the bears.
Then as more less positive news comes in, the bears hit the market again. These are more participants opening short positions, but more so those who missed out in selling previously because prices fell too quickly, seeing another opportunity to sell at a better price. So the bears take over again.
Unless there is very good news around the corner it is likely that the bears will stay in control and prices will fall further.
How to trade a dead cat bounce (assuming you have been stopped out of your long possistions already)? If you are aggressive you can go short as prices start reversing from the top of the bounce (with your stop loss just above the top of the bounce). If you are more conservative you would place your entry for a short position just below the support at the start of the bounce (with your stop above the top of the bounce). You could also place an order for a long position above the top of the bounce if a double bottom eventuated. A One Cancels the Other (OCO) would be an appropriate order for such a situation.