Impulsive modelling for tree-grass interactions in fire-prone savanna

Yatat Valaire, Couteron Pierre, Tewa Jean Jules, Bowong Samuel, Dumont Yves. 2015. Impulsive modelling for tree-grass interactions in fire-prone savanna. Biomath Communications, 2 (1), Résumé, 1 p. International Conference on Mathematical methods and Models in Biosciences and Young Scientists School, Pretoria, Afrique du Sud, 12 July 2015/17 July 2015.

http://dx.doi.org/10.11145/495

Journal article ; Article de revue sans comité de lecture

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Url - éditeur : http://www.biomathforum.org/biomath/index.php/conference/article/view/495

Abstract : 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)

Mots-clés Agrovoc : forêt tropicale, Savane, Incendie spontané, Incendie de forêt, Modèle mathématique, Méthode statistique, Dynamique des populations, Compétition biologique, Herbage, Paysage

Mots-clés géographiques Agrovoc : Afrique

Mots-clés libres : Mathematical modelling, Savanna, Fire, Impulsive differential equation, Nonstandard finite difference method

Classification Agris : K01 - Forestry - General aspects
F40 - Plant ecology
U10 - Computer science, mathematics and statistics

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

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