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

Figure 10

Phase portrait of System (2) showing the coexistence of 𝐸₁₀, 𝐸₁₁, 𝐸₁₂. Equilibria 𝐸₁₁ and 𝐸₁₂ correspond to the removal of the pastoralists with their herd and persistence of forage or water resources. We can observe here the local asymptotic stability of 𝐸₁₁=(𝐾₁,0,0), 𝐸₁₂=(0,𝐾₂,0), and 𝐸₁₀=(0,0,0) when 𝑟₁=400 kgDM/ha and 𝑝=3000 mm. The rest of parameters are in Tables 1 and 2.