%0 Journal Article
%9 ACL : Articles dans des revues avec comité de lecture non répertoriées par l'AERES
%A Yata, V.
%A Dumont, Y.
%A Tewa, J.J.
%A Couteron, Pierre
%A Bowong, S.
%T Mathematical analysis of a size structured tree-grass competition model for savanna ecosystems
%D 2014
%L fdi:010075322
%G ENG
%J Biomath
%@ 1314-684X
%K SAVANE BOISEE ; FEU DE BROUSSE ; FONCTIONNEMENT DE L'ECOSYSTEME ; DYNAMIQUE DE VEGETATION ; MODELISATION ; ANALYSE QUALITATIVE
%K ZONE TROPICALE ; AFRIQUE SUBSAHARIENNE
%P art. no 1404212 [18 ]
%R 10.11145/j.biomath.2014.04.212
%U https://www.documentation.ird.fr/hor/fdi:010075322
%> https://horizon.documentation.ird.fr/exl-doc/pleins_textes/divers19-03/010075322.pdf
%V 3
%W Horizon (IRD)
%X Several continuous-time tree-grass competition models have been developed to study conditions of long-lasting coexistence of trees and grass in savanna ecosystems according to environmental parameters such as climate or fire regime. In those models, fire intensity is a fixed parameter while the relationship between woody plant size and fire-sensitivity is not systematically considered. In this paper, we propose a mathematical model for the tree-grass interaction that takes into account both fire intensity and size-dependent sensitivity. The fire intensity is modeled by an increasing function of grass biomass and fire return time is a function of climate. We carry out a qualitative analysis that highlights ecological thresholds that summarize the dynamics of the system. Finally, we develop a non-standard numerical scheme and present some simulations to illustrate our analytical results.
%$ 082VEGET01 ; 020MATH01