Impulsive modelling for tree-grass interactions in fire-prone savanna
The study of tree-grass interactions in savanna (fires prone or not) remains an important issue for research. In African savanna, it is well known that fire is a major disturbance that shapes tree-grass ratio along a rainfall gradient. Several mathematical models have been developed that addressed fire prone savanna dynamics. Such models rely mostly on continuous-time modelling of tree-grass competition. In these frameworks, fire is a time-continuous forcing (see [1] and references therein) while the relationship between woody plant size and fire-sensitivity is not systematically considered. In this work, in order to takes into account both the discrete nature of fire occurrence and size-dependent fire sensitivity, we propose a new mathematical model for tree-grass interaction featuring impulsive differential equations [2]. The impulsive modelling is able to yield a more realistic array of solutions and therefore, able to account for many dynamical scenarios observed in savanna-like ecosystems. Extension of the temporal model to a spatio-temporal model, using local and nonlocal operators, will be also considered. (Texte intégral)
| Main Authors: | , , , , |
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| Format: | article biblioteca |
| Language: | eng |
| Subjects: | K01 - Foresterie - Considérations générales, F40 - Écologie végétale, U10 - Informatique, mathématiques et statistiques, forêt tropicale, savane, incendie spontané, incendie de forêt, modèle mathématique, méthode statistique, dynamique des populations, compétition biologique, herbage, paysage, http://aims.fao.org/aos/agrovoc/c_24904, http://aims.fao.org/aos/agrovoc/c_6825, http://aims.fao.org/aos/agrovoc/c_34150, http://aims.fao.org/aos/agrovoc/c_3045, http://aims.fao.org/aos/agrovoc/c_24199, http://aims.fao.org/aos/agrovoc/c_7377, http://aims.fao.org/aos/agrovoc/c_6111, http://aims.fao.org/aos/agrovoc/c_917, http://aims.fao.org/aos/agrovoc/c_3366, http://aims.fao.org/aos/agrovoc/c_4185, http://aims.fao.org/aos/agrovoc/c_165, |
| Online Access: | http://agritrop.cirad.fr/577589/ http://agritrop.cirad.fr/577589/1/495-2649-1-PB.pdf |
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| Summary: | The study of tree-grass interactions in savanna (fires prone or not) remains an important issue for research. In African savanna, it is well known that fire is a major disturbance that shapes tree-grass ratio along a rainfall gradient. Several mathematical models have been developed that addressed fire prone savanna dynamics. Such models rely mostly on continuous-time modelling of tree-grass competition. In these frameworks, fire is a time-continuous forcing (see [1] and references therein) while the relationship between woody plant size and fire-sensitivity is not systematically considered. In this work, in order to takes into account both the discrete nature of fire occurrence and size-dependent fire sensitivity, we propose a new mathematical model for tree-grass interaction featuring impulsive differential equations [2]. The impulsive modelling is able to yield a more realistic array of solutions and therefore, able to account for many dynamical scenarios observed in savanna-like ecosystems. Extension of the temporal model to a spatio-temporal model, using local and nonlocal operators, will be also considered. (Texte intégral) |
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