The cell to cell communication between bacteria is termed as quorum sensing, which maybe inter or intra species. This phenomenon is mediated by auto inducer molecules including N-Acyl Homoserine Lactones (AHL). The concentration of AHL generally reaches a maximum and decreases as a function of time. However, under certain conditions which promote slower growth of the bacteria, two maxima are seen in its concentration. This paper describes the mathematical modelling of AHL production by a member of the Exiguobacterium genus. A set of ordinary differential equations describe the dynamic behaviour of biomass, dissolved oxygen, substrate, and AHL concentration. The model fits the experimental data well with fewer parameters than those reported in literature. It is capable of describing both single and dual maxima seen in AHL production. This study suggests a possible mechanism of QS system in Exiguobacterium species. The developed model can help in identifying a potential harvesting time at which AHL concentration is maximum under reactor conditions. © 2018 Elsevier B.V.