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The present paper discusses the use of modified Lotka-Volterra equations inorder to stochastically simulate the behaviour of Listeria monocytogenes andLactic Acid Bacteria (LAB) during the fermentation period (168 h) of a typicalSicilian salami. For this purpose, the differential equation system is setconsidering T, pH and aw as stochastic variables. Each of them is governed bydynamics that involve a deterministic linear decrease as a function of the timet and an "additive noise" term which instantaneously mimics the fluctuations ofT, pH and aw. The choice of a suitable parameter accounting for the interactionof LAB on L. monocytogenes as well as the introduction of appropriate noiselevels allows to match the observed data, both for the mean growth curves andfor the probability distribution of L. monocytogenes concentration at 168 h.

A stochastic interspecific competition model to predict the behaviour of  Listeria monocytogenes in the fermentation process of a traditional Sicilian  salami