Dynamical Models of Interactions between Herds Forage and Water Resources in Sahelian Region

Figure 8

Phase portrait for illustration of a stable limit cycle around coexisting equilibrium of System (1) for 𝐸₂=(𝑅^∗,𝐻^∗) for 𝑟=700 kgDM/ha, 𝑒=0.05/day, 𝑎=0.013/ha, 𝐾=960 kgDM/ha, 𝑞=0.4/day, and 𝛾=1.0/day. This means that there is a supercritical Hopf bifurcation.