Population estimate using a trap-insect model

Abstract : It is usually admitted that fires play an important role in tree-grass interactions in savanna ecosystems. In this talk, we present a model of tree-grass dynamics using impulsive differential equations, considering fires as discrete events [1]. This framework allows us to carry out a comprehensive qualitative mathematical analysis that revealed more possible outcomes than the analogous continuous model [2]. We investigated local and global properties of the equilibria and show that various states may co-exist. Though fire periodicity may drive the system to different and abrupt shifts between vegetation, we also show that direct shading of grasses by trees, through a facilitation/competition parameter, is an influential process too, leading to bifurcations. Finally, using a suitable numerical approach [3], we carried out numerical simulations related to three main climatic zones, observable in Central Africa, to illustrate our theoretical results
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https://hal.umontpellier.fr/hal-02329351
Contributeur : Yannick Brohard <>
Soumis le : mercredi 23 octobre 2019 - 15:07:39
Dernière modification le : jeudi 24 octobre 2019 - 01:32:18

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  • HAL Id : hal-02329351, version 1

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Roumen Anguelov, Claire Dufourd, Yves Dumont. Population estimate using a trap-insect model. BIOMATH-S conference, Jul 2015, Pretoria, South Africa. ⟨hal-02329351⟩

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