As mentioned by @JRE and illustrated by Merriam-Webster, the correct phrasing recognizes that dearth is singular:
There is no dearth of aspirants for this job.
...a company-wide dearth of talent is the core reason his Chevy simply isn't as fast in 2005 as it's been in the past.
Is dearth always singular? No, and here's an example sentence:
Compare these examples:
 A number of students were arrested.
 The number of students arrested has not been revealed.
In  the indefinite article "a" indicates an imprecise number and is said to be number-transparent in that the number of the whole NP is determined not by the head but by the noun that is complement to "of". As it happens, in ...