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A Minimalistic model of spatial structuration of humid savanna vegetation

Abstract : In this work, we propose a spatio-temporal tree-grass interactions model, allowing to account for a possibly periodic spatial structuring sometimes observes in humid savanna zone. The proposed model relies on an integro-differential reaction-diffusion system, involving kernels of intra and inter-specific interactions. From a linear stability analysis performed in the vicinity of a homogeneous stationary state that denotes tree-grass coexistence, we succeed first to find a condition for the appearance of periodic solutions in space with predictable wavelength and second, to illustrate it numerically.
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https://hal.archives-ouvertes.fr/hal-02926298
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Submitted on : Monday, August 31, 2020 - 3:40:24 PM
Last modification on : Tuesday, January 11, 2022 - 3:04:49 AM
Long-term archiving on: : Tuesday, December 1, 2020 - 12:45:46 PM

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  • HAL Id : hal-02926298, version 1

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Simon Tega 2, Valaire Yatat, Jean-Jules Tewa, Pierre Couteron. A Minimalistic model of spatial structuration of humid savanna vegetation. CARI 2020 - Colloque Africain sur la recherche en Informatique et en Mathématiques Appliquées, Oct 2020, Thies, Senegal. ⟨hal-02926298⟩

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