@article{fdi:010075322,
  title = {{M}athematical analysis of a size structured tree-grass competition model for savanna ecosystems},
  author = {{Y}ata, {V}. and {D}umont, {Y}. and {T}ewa, {J}.{J}. and {C}outeron, {P}ierre and {B}owong, {S}.},
  editor = {},
  language = {{ENG}},
  abstract = {{S}everal 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. {I}n those models, fire intensity is a fixed parameter while the relationship between woody plant size and fire-sensitivity is not systematically considered. {I}n this paper, we propose a mathematical model for the tree-grass interaction that takes into account both fire intensity and size-dependent sensitivity. {T}he fire intensity is modeled by an increasing function of grass biomass and fire return time is a function of climate. {W}e carry out a qualitative analysis that highlights ecological thresholds that summarize the dynamics of the system. {F}inally, we develop a non-standard numerical scheme and present some simulations to illustrate our analytical results.},
  keywords = {{SAVANE} {BOISEE} ; {FEU} {DE} {BROUSSE} ; {FONCTIONNEMENT} {DE} {L}'{ECOSYSTEME} ; {DYNAMIQUE} {DE} {VEGETATION} ; {MODELISATION} ; {ANALYSE} {QUALITATIVE} ; {ZONE} {TROPICALE} ; {AFRIQUE} {SUBSAHARIENNE}},
  booktitle = {},
  journal = {{B}iomath},
  volume = {3},
  numero = {},
  pages = {art. no 1404212 [18 ]},
  ISSN = {1314-684{X}},
  year = {2014},
  DOI = {10.11145/j.biomath.2014.04.212},
  URL = {https://www.documentation.ird.fr/hor/fdi:010075322},
}