Mathematical analysis of a size structured tree-grass competition model for savanna ecosystems

Yatat Valaire, Dumont Yves, Tewa Jean Jules, Couteron Pierre, Bowong Samuel. 2014. Mathematical analysis of a size structured tree-grass competition model for savanna ecosystems. Biomath, 3 (1), 18 p.

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Published version - Anglais
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Abstract : 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. (Résumé d'auteur)

Mots-clés Agrovoc : Modèle mathématique, Compétition végétale, Incendie, Facteur climatique, Plante herbacée, Arbre, Savane

Mots-clés géographiques Agrovoc : Cameroun

Classification Agris : U10 - Computer science, mathematics and statistics
F40 - Plant ecology

Champ stratégique Cirad : Axe 6 (2014-2018) - Sociétés, natures et territoires

Auteurs et affiliations

  • Yatat Valaire, UMMISCO (CMR)
  • Dumont Yves, CIRAD-BIOS-UMR AMAP (FRA) ORCID: 0000-0003-4817-685X
  • Tewa Jean Jules, UMMISCO (CMR)
  • Couteron Pierre, IRD (FRA)
  • Bowong Samuel, UMMISCO (CMR)

Source : Cirad - Agritrop (

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