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. 2012 Apr 26;8(4):e1002497. doi: 10.1371/journal.pcbi.1002497

Figure 2. Multistability and hysteresis in a simple model of the intestinal microbiota. A: phase diagram showing the three possible stability regions.

Figure 2

Antibiotic-sensitive bacteria dominate when Inline graphic and antibiotic-tolerant bacteria dominate when Inline graphic and therefore these are regions of monostability. There is a region of bistability between the two regions where domination by either sensitives or tolerants is possible. B: schematic display of the hysteresis phenomenon explaining cases where antibiotic treatment produces altered microbiota (i.e. tolerants domination) that persists long after antibiotic cessation. C–F: mean density values obtained simulating the Langevin dynamics for a maximum time Inline graphic after an instantaneous change of the parameter Inline graphic (C and D) and Inline graphic (E and F). These averages are obtained over Inline graphic noise realizations. C, D and E, F show the antibiotic-tolerants or antibiotic-sensitives densities, respectively, as a function of the social interaction parameter (Inline graphic) with Inline graphic or the antibiotic killing (Inline graphic) with Inline graphic.