What is a suicide plasmid?
As can be inferred from the Shanks et al. paper linked in the question: In molecular biology, "suicide plasmid" is a term that refers to a plasmid which is replication incompetent.*

Plasmids normally bear a sequence called "origin of replication" Ori which marks the plasmid for replication by the host cell. Plasmids that lack this Ori will not be replicated during cell division, and will become diluted away and/or degraded after a few generations. Hence the name: The plasmid will "commit suicide" by promptly becoming eliminated from the population of DNA molecules inside each cell.

Note that because not all Oris are universal, the same exact plasmid may be a normal vector in one species (eg. E. coli) and a suicide vector in another species (eg. P. aeruginosa) - which is logical: If a vector can't replicate in any species at all, how do you produce this vector in the first place? (there are ways, but they are laborious)



*: I am unable to find an authoritative source for this definition. The other two paragraphs are common knowledge.