Figure 8From: Control optimization and homoclinic bifurcation of a prey–predator model with ratio-dependentNumerical simulations in the case \(q^{*}< q<\delta \). (a) Phase portrait of \(x(t)\) and \(y(t)\). (b) Time series of \(x(t)\). (c) Time series of \(y(t)\)Back to article page