Mathematical analysis of a size structured tree-grass competition model for savanna ecosystems
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.
| Main Authors: | , , , , |
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| Format: | article biblioteca |
| Language: | eng |
| Subjects: | U10 - Informatique, mathématiques et statistiques, F40 - Écologie végétale, modèle mathématique, compétition végétale, incendie, facteur climatique, plante herbacée, arbre, savane, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_35264, http://aims.fao.org/aos/agrovoc/c_2915, http://aims.fao.org/aos/agrovoc/c_29554, http://aims.fao.org/aos/agrovoc/c_27977, http://aims.fao.org/aos/agrovoc/c_7887, http://aims.fao.org/aos/agrovoc/c_6825, http://aims.fao.org/aos/agrovoc/c_1229, |
| Online Access: | http://agritrop.cirad.fr/573439/ http://agritrop.cirad.fr/573439/1/document_573439.pdf |
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