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A partial differential equations framework to model fire-prone savanna dynamics

Yatat Valaire, Couteron Pierre, Tewa Jean Jules, Dumont Yves. 2017. A partial differential equations framework to model fire-prone savanna dynamics. . Kruger Park : s.n., Résumé, 1 p. Biomath 2017 : International Conference on Mathematical Methods and Models in Biosciences and a School for Young Scientists, Kruger Park, Afrique du Sud, 25 June 2017/30 June 2017.

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Abstract : Fires and mean annual rainfall are major factors that regulate woody and grassy biomasses in savannas. In this talk, we extend temporal models developed in recent papers by Yatat et al. (2016) [3] and Tchuinte et al. (2017) [1] into spatio-temporal models, in order to study the long term dynamics of a forest-grassland mosaic in a humid context of Central Africa. We take into account local biomass diffusion, as well as local competition for nutrients and light. For this model, we carry out a qualitative analysis that highlights some ecological thresholds shaping the dynamics of the system. We show that monostable and bistable travelling waves may exist. We explore through numerical simulations the use of fires on the dynamics of a forest-grassland mosaic in a humid savanna. Notably, we found that depending on fire-return time as well as characteristics of vegetation propagation phenomena, fire events are able to greatly slow down, stop or even reverse the progression of forest in humid regions [2]. (Résumé d'auteur)

Mots-clés libres : Modélisation mathématique, Interaction Arbre-Herbe, Savane, Feu, Équations aux dérivées partielles, Analyse, Simulation

Classification Agris : F40 - Plant ecology
K01 - Forestry - General aspects
U10 - Mathematical and statistical methods
K70 - Forest injuries and protection

Auteurs et affiliations

  • Yatat Valaire, Université de Yaoundé 1 (CMR)
  • Couteron Pierre, IRD (FRA)
  • Tewa Jean Jules, Université de Yaoundé (CMR)
  • Dumont Yves, CIRAD-BIOS-UMR AMAP (FRA) ORCID: 0000-0003-4817-685X

Source : Cirad-Agritrop (https://agritrop.cirad.fr/585490/)

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