Figure 5.

The sensitivity of parameter ${\alpha }^{\left(B\right)}$ with respect to commensal bacteria, wild-type, and mutant Yersinia in the mucosa and lumen for 336 h. $0<{\alpha }^{\left(B\right)}<1$, no biologically meaningful region (out of our interest). ${\alpha }^{\left(B\right)}>1$, all populations appear. When $1<{\alpha }^{\left(B\right)}<2.28$, the region is a region for the appearance of the co-existence equilibrium, but the hypothesis of the co-existence equilibrium is not satisfied. Therefore, wild-type strain does not grow, and the mutant strain is going down slowly. When ${\alpha }^{\left(B\right)}>2.28$, this is a region of the appearance of a wt equilibrium ${\mathcal{R}}_0^{wt}>1$. Thus, (a,e) are increasing fast and stay at the maximum level as (a,d) are going back to zero. Additionally, (c,d) do not grow anymore ${\mathcal{R}}_0^{mut}<1$.