Figure 2

Time series. Numerical simulation of our model showing the time series of (a) level of sensitive bacteria, (b) level of resistant bacteria, and (c) nutrient concentration, corresponding to the case seen in Fig. 1. Here, \(x ( 0 ) = 0.3\), \(y ( 0 ) = 0.4\), \(z ( 0 ) = 0.5\), \(a_{1} = 2.407407\), \(a_{2} = 0.023077\), \(a_{3} = 0.00196\), \(a_{4} = 0.0007\), \(\omega _{1} = 0.7\), \(\omega _{2} = 0.7\), \(\omega _{3} = 0.7K_{s} = 0.7\), \(K_{\gamma } = 4.3\), \(K_{R} = 5.0\), \(\varepsilon _{r} = 0.9\), \(\gamma = 4.0\), \(\mu = 0.01\), \(z^{*} = 5.0\), and \(\psi _{R} = 1.2\)