Skip to main content
Figure 2 | Journal of Inequalities and Applications

Figure 2

From: Bogdanov–Takens bifurcation of a Holling IV prey–predator model with constant-effort harvesting

Figure 2

(a) An anti-saddle \(E^{*}=(0.116,0.078)\) with \(a=0.1, \beta =0.3, \delta =0.6, h_{1}=0.2, h_{2}=0.4, \Delta =23.75\) and \(A=-1.66\); (b) a degenerated equilibrium \(E^{*}=(0.299,0.072)\) with \(a=0.03\), \(\beta =1.25\), \(\delta =0.8\), \(h_{1}=0.1\), \(h_{2}=0.5\), \(\Delta =0\) and \(A=0\); (c) a degenerated equilibrium \(E^{*}=(0.21,0.047)\) and an anti-saddle \(E_{1}^{*}=(0.48,0.11)\) with \(a=0.024\), \(\beta =0.9\), \(\delta =0.5\), \(h_{1}=0.1\), \(h_{2}=0.3\), \(\Delta =0\) and \(A=0.073\); (d) two anti-saddles \(E_{1}^{*}=(0.06,0.012)\) and \(E_{3}^{*}=(0.599,0.11)\), a hyperbolic saddle \(E_{2}^{*}=(0.24, 0.04)\) with \(a=0.01, \beta =0.54, \delta =0.6, h_{1}=0.1, h_{2}=0.5\) and \(\Delta =-0.031\)

Back to article page