Díaz Díaz, Jesús IldefonsoKyriazopoulos, Paris2023-06-192023-06-1920141578-730310.1007/s13398-012-0108-0https://hdl.handle.net/20.500.14352/33820In this communication, we consider the stationary problem of a non-linear parabolic system which arises in the context of dry-land vegetation. In the first part, we examine the existence and multiplicity of biomass stationary solutions, in terms of the precipitation rate parameter p, for a localized simplification of the system, with non-homogeneous rate of biomass loss. In fact, we show that under appropriate conditions on fixed parameters of the problem, multiple positive solutions exist for a range of the parameter p. In the second part, we consider the case of an idealized “oasis”, ω ⊂⊂ Ω, where we study the transition of the surface-water height in a neighborhood of the set ωengjournal articlehttp://link.springer.com/article/10.1007%2Fs13398-012-0108-0#page-1http://lspringer.com/restricted access517.9Multiplicity of positive solutionsDry-land vegetationEcuaciones diferenciales1202.07 Ecuaciones en Diferencias