Sounds obvious, but the fact is that during times of stress people let their attitudes slip. Unfortunately, it is during stressful times that having a positive attitude is most important! If you maintain a positive attitude that is going to stick in the minds of the decision makers, and they will be more likely to keep you on board when it comes time to decide who stays on and who goes home.
Constantly be aware of the value you bring to the company. Make sure you are thinking about the money you are being paid, and the value you give to the company in return. Make sure your value is greater than the money they pay you. If it seems like you're not as valuable as you need to be, think of ways to increase your value.
Work to make yourself indispensable. Look for problem areas in the company and figure out how best to solve them. Look for gaps in the company coverage and fill them! If there is a need going to be unfulfilled, that is your cue to find an answer!
It's a buzzword to the point of cliché, but seriously, now more than ever is the time to be a ''team player.''
Learn to get along with others. Let go of the small stuff and work with your colleagues and peers. The ''every person for themselves'' attitude can work when times are good and there is plenty to go around, but when times get tight it is time to bond together and solve the problems that need to be solved.
Make sure you are communicating with your colleagues and superiors. Let them know what you are doing, and let them know why you are valuable. You do want to let the powers that be known that you are contributing in a positive way to the continued success of the company.
Look for opportunities to take charge. Desperate times call for desperate measures, and if no one else is stepping up, take a shot! Likewise admit it when you make a mistake. Take credit where credit is due, and take blame where blame is due. You'll find that when mistakes are made and you are willing to take responsibility for those mistakes, your colleagues and your superiors will respect you for it.
It really is a jungle out there right now; but by doing the best you can, communicating clearly, and working well with others, you can hold onto your job, weather this economic storm, and come out on the other side with your head held up high.