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

Figure 7

Chronological evolution of the herd’s animals and forage resources of System (1) when 𝑟=650 kgDM/ha, 𝑒=0.05/day, 𝑎=0.013/ha, 𝐾=800 kgDM/ha, 𝑞=0.4/day, and 𝛾=1.0/day. This illustrates the global stability of the unique coexisting equilibrium 𝐸₂=(𝑅^∗,𝐻^∗). This means that the herd’s animals and forage resources have periodic curves since there is a stable limit cycle. The two populations can exist together.