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

Figure 2

Phase portrait of System (1). Illustration of the local asymptotic stability of equilibrium 𝐸₀=(0,0) and equilibrium 𝐸₁=(𝐾,0). These situations happen during transhumance; the pastoralists leave the area because of scarcity of forage resources or some local conditions. The rest of parameters in this case are given in Table 1, with 𝑟₀₁=200 kgDM/ha, 𝑟₀₂=55 kgDM/ha, 𝑟₁=80 kgDM/ha, and 𝐾=30 kgDM/ha such that 𝑟>0.