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Theory and Modern Applications

Figure 1 | Advances in Difference Equations

Figure 1

From: Global analysis of a delayed Monod type chemostat model with impulsive input on two substrates

Figure 1

Behavior and phase portrait of system ( 1.1 ). Dynamical behavior of the system (1.1) with \(\mu_{1}=8\), \(\mu_{2}=10\), \(\delta_{1}=1\), \(\delta_{2}=1\), \(D=0.75\), \(\tau_{1}=0.1\), \(\tau_{2}=0.1\), \(T=1\), \(p_{1}=0.1\), \(p_{2}=0.1\), \(k_{1}=9\), \(k_{2}=4 \). (i) Time-series of the nutrient \(S_{1}(t)\) for periodic oscillation. (ii) Time-series of nutrient \(S_{2}(t)\) for periodic oscillation. (iii) Time-series of the microorganism population \(x(t)\) for extinction. (iv) Phase portrait of \(S_{1}(t)\), \(S_{2}(t)\), \(x(t)\).

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