Artículo de revista
Patchy landscapes in arid environments: Nonlinear analysis of the interaction-redistribution model
Fecha
2020Registro en:
Chaos 30, 093136 (2020)
10.1063/5.0011010
Autor
Messaoudi, M.
Clerc Gavilán, Marcel
Berríos Caro, Ernesto
Pinto Ramos, D.
Khaffou, M.
Makhoute, A.
Tlidi, M.
Institución
Resumen
We consider a generic interaction-redistribution model of vegetation dynamics to investigate the formation of patchy vegetation in semi-arid and arid landscapes. First, we perform a weakly nonlinear analysis in the neighborhood of the symmetry-breaking instability. Following this analysis, we construct the bifurcation diagram of the biomass density. The weakly nonlinear analysis allows us to establish the condition under which the transition from super- to subcritical symmetry-breaking instability takes place. Second, we generate a random distribution of localized patches of vegetation numerically. This behavior occurs in regimes where a bare state coexists with a uniform biomass density. Field observations allow to estimate the total biomass density and the range of facilitative and competitive interactions.