Figure 3From: Hopf bifurcation analysis in a fractional-order survival red blood cells model and \(\mathit{PD}^{\alpha} \) controlWaveform plot and phase portrait of the controlled fractional-order model ( 4.2 ) with \(\pmb{\alpha = 0.92}\), \(\pmb{m = 0.2}\), \(\pmb{k_{p} = - 0.05}\), \(\pmb{k_{d} = 0.5}\) and the initial value \(\pmb{u_{0} = 2}\). The equilibrium \(u^{*}\) is asymptotically stable when \(\upsilon = 24 < \upsilon_{0}^{c} = 27.7129\).Back to article page