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Theory and Modern Applications

Figure 3 | Advances in Difference Equations

Figure 3

From: Dynamics of a stochastic eutrophication-chemostat model with impulsive dredging and pulse inputting on environmental toxicant

Figure 3

Threshold analysis of parameter \(h_{2}\) in system (2.1) with \(x(0)=0.8\), \(y(0)=0.3\), \(c_{o}(0)=0.9\), \(c_{e}(0)=0.9\), \(D=1\), \(\beta =0.1\), \(k=0.1\), \(A=0.05\), \(B=0.002\), \(r=0.1\), \(f=0.1\), \(g=0.5\), \(m=0.5\), \(h=0.1\), \(\mu =0.1\), \(h_{1}=0.07\), \(\sigma _{11}=0.01\), \(\sigma _{12}=0.01\), \(\sigma _{21}=0.01\), \(\sigma _{22}=0.01\), \(l=0.25\), \(\tau =4\), (e): \(y(t)\) survival with parameter \(h_{2}=0.9\); (f): \(y(t)\) extinction with parameter \(h_{2}=0.1\)

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