@article{fdi:010075323, title = {{A} generic modeling of fire impact in a tree-grass savana model}, author = {{T}chuint{\'e} {T}amen, {A}. and {T}ewa, {J}.{J}. and {C}outeron, {P}ierre and {B}owong, {S}. and {D}umont, {Y}.}, editor = {}, language = {{ENG}}, abstract = {{W}e propose and study a model for tree-grass interactions in the context of savannas which are subjected to fire pressure. {S}everal theoretical models in the literature which have highlighted the impact of fire on tree-grass interactions did not explicitly deal with the indirect feedback of dry grass biomass onto tree dynamics through fire intensity and frequency. {T}he novelty in our work is to consider a fairly generic modeling of fire impact on woody biomass by means of a family of increasing and bounded functions of grass biomass. {T}he characteristic feature of this family of functions is that, it could include several forms: linear as well as non-linear ones (sigmoidal or not). {S}ince the nonlinear shape brings more diverse results than the previous attempts using a linear function, it could be used to show that several vegetation equilibria exist with some of them showing tree-grass coexistence features.{W}e show that the number of equilibria with both grass and trees depends on the choice of the fire impact function. {W}e also established thresholds defining the stability domains of the equilibria and highlighted some bifurcation parameters to provide numerical simulations complying with the theoretical properties of the model.}, keywords = {{SAVANE} {BOISEE} ; {FEU} {DE} {BROUSSE} ; {FONCTIONNEMENT} {DE} {L}'{ECOSYSTEME} ; {DYNAMIQUE} {DE} {VEGETATION} ; {MODELISATION} ; {ANALYSE} {STATISTIQUE} ; {AFRIQUE} {SUBSAHARIENNE} ; {ZONE} {TROPICALE}}, booktitle = {}, journal = {{B}iomath}, volume = {3}, numero = {}, pages = {art. no 1407191 [18 ]}, ISSN = {1314-684{X}}, year = {2014}, DOI = {10.11145/214}, URL = {https://www.documentation.ird.fr/hor/fdi:010075323}, }