"Texas's medical-malpractice law is considered one of the friendliest in the nation to health-care providers, legal experts say." - Joe Palazzolo, "Ebola Suits Against Texas Hospital Likely Wouldn't Be Easy to Win," in The Wall Street Journal, October 17, 2014. Here is that article (sub. req.).
As Joe Palazzolo reported last Friday, no civil lawsuits have been filed yet by the family of Thomas Duncan or the nurses who became infected. That might be because of two reasons.
One it is up to a judge to determine if the lawsuit has merit, based on the medical-expert opinion presented by plaintiff. The state is known to be "friendly" to healthcare providers. And, secondly, there's not a lot of money involved. The max is $250,000. Figure in the legal costs or the percentage paid to the attorney working on contingency and that won't be worth it to too many considering a malpractice lawsuit.
A more lucrative route could be to leverage one's alleged suffering as a way to attract goodies in other ways. For example, Duncan's relatives or the nurses could be provided with attractive professional opportunities. Or a foundation might provide a kind of award, which carries a stipend.