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\textit{Vibrio harveyi} and \textit{Vibrio cholerae} have quorum sensingpathways with similar design and highly homologous components includingmultiple small RNAs (sRNAs). However, the associated luminescence phenotypes ofstrains with sRNA deletions differ dramatically: in \textit{V. harveyi}, thesRNAs act additively; however, in \textit{V. cholerae}, the sRNAs actredundantly. Furthermore, there are striking differences in the luminescencephenotypes for different pathway mutants in \textit{V. harveyi} and \textit{V.cholerae}. However these differences have not been connected with the observeddifferences for the sRNA deletion strains in these bacteria. In this work, wepresent a model for quorum sensing induced luminescence phenotypes focusing onthe interactions of multiple sRNAs with target mRNA. Within our model, we findthat one key parameter -- the fold-change in protein concentration necessaryfor luminescence activation -- can control whether the sRNAs appear to actadditively or redundantly. For specific parameter choices, we find thatdifferences in this key parameter can also explain hitherto unconnectedluminescence phenotypes differences for various pathway mutants in \textit{V.harveyi} and \textit{V. cholerae}. The model can thus provide a unifyingexplanation for observed differences in luminescence phenotypes and can also beused to make testable predictions for future experiments.

Computational modeling of differences in the quorum sensing induced luminescence phenotypes of \textit{Vibrio harveyi} and \textit{Vibrio cholerae}