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Hopf bifurcation of a heroin model with time delay and saturated treatment function

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Figure

Figure 1 Time plots of S, U1, U2 and U3 with τ = 37.45 < τ0 = 40.1285
Figure 2 Phase portrait of system (15) with τ = 37.45 < τ0 = 40.1285: (a) S – U1 – U2, (b) S – U1 – U3,(c) S – U2 – U3, (d) U1 – U2 – U3
Figure 4 Phase portrait of system (15) with τ = 45.25 > τ0 = 40.1285: (a) S – U1 – U2, (b) S – U1 – U3,(c) S – U2 – U3, (d) U1 – U2 – U3
Figure 6 Effect of A on all classes for τ = 35.25: (a) S, (b) U1, (c) U2, (d) U3
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