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Universiteit Leiden (2019)

Lines in the sand : behaviour of self-organised vegetation patterns in dryland ecosystems

Bastiaansen, R.

Titre : Lines in the sand : behaviour of self-organised vegetation patterns in dryland ecosystems

Auteur : Bastiaansen, R.

Université de soutenance : Universiteit Leiden

Grade : Doctor 2019

Résumé
Vast, often populated, areas in dryland ecosystems face the dangers of desertification. Loosely speaking, desertification is the process in which a relatively dry region loses its vegetation - typically as an effect of climate change. As an important step in this process, the lack of resources forces the vegetation in these semi-arid areas to organise itself into large-scale spatial patterns. In this thesis, these patterns are studied using conceptual mathematical models, in which vegetation patterns present themselves as localised structures (for example pulses or fronts). These are analysed using mathematical techniques from (geometric singular) perturbation theory and via numerous numerical simulations. The study of these ecosystem models leads to new advances in both mathematics and ecology.

Mots clés  : Desertification Pattern formation Reaction advection diffusion Multistability Semi-strong pulse dynamics Asymptotic analysis Geometric singular perturbations Exponential dichotomies Changing parameters Ecosystem resilience

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Page publiée le 23 septembre 2019