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

Figure 12

(a) Chronological evolution of herd’s animals, forage, and water resources of System (2). We observe the global stability of equilibrium 𝐸₁₃=(𝐾₁,𝐾₂,0) when 𝑟₁=200 kgDM/ha, 𝑟₂=300 kgDM/ha, 𝑝=600mm, 𝐾₁=800 kgDM/ha, and 𝐾₂=900 kgDM/ha. (b) Phase portrait of System (2) showing the local stability of equilibria 𝐸₁₁ and 𝐸₁₂. The rest of parameters are in Tables 1 and 2.