Chapter

Dissipative Solitons: From Optics to Biology and Medicine

Volume 751 of the series Lecture Notes in Physics pp 1-22

Date:

On Vegetation Clustering, Localized Bare Soil Spots and Fairy Circles

  • M. TlidiAffiliated withOptique Nonlinéare Théorique, Université Libre de Bruxelles Email author 
  • , R. LefeverAffiliated withService de Chimie Physique et Biologie Théorique, Université Libre de Bruxelles
  • , A. VladimirovAffiliated withWeierstrass Institute for Applied Analysis and Stochastics

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Abstract

We present a model and nonlinear analysis which account for the clustering behaviors of arid vegetation ecosystems, the formation of localized bare soil spots (sometimes also called fairy circles) in these systems and the attractive or repulsive interactions governing their spatio-temporal evolution. Numerical solutions of the model closely agree with analytical predictions.