Marasco Addolorata, Iuorio Annalisa, Cartení Fabrizio, Bonanomi Giuliano, Tartakovsky Daniel M, Mazzoleni Stefano, Giannino Francesco
Department of Mathematics and Applications "R. Caccioppoli", University of Naples Federico II, Via Cintia, 80126, Naples, Italy,
Bull Math Biol. 2014 Nov;76(11):2866-83. doi: 10.1007/s11538-014-0036-6. Epub 2014 Oct 23.
Development of a comprehensive theory of the formation of vegetation patterns is still in progress. A prevailing view is to treat water availability as the main causal factor for the emergence of vegetation patterns. While successful in capturing the occurrence of multiple vegetation patterns in arid and semiarid regions, this hypothesis fails to explain the presence of vegetation patterns in humid environments. We explore the rich structure of a toxicity-mediated model of the vegetation pattern formation. This model consists of three PDEs accounting for a dynamic balance between biomass, water, and toxic compounds. Different (ecologically feasible) regions of the model's parameter space give rise to stable spatial vegetation patterns in Turing and non-Turing regimes. Strong negative feedback gives rise to dynamic spatial patterns that continuously move in space while retaining their stable topology.
植被格局形成综合理论的发展仍在进行中。一种主流观点是将水分可利用性视为植被格局出现的主要因果因素。虽然这一假设成功地解释了干旱和半干旱地区多种植被格局的出现，但却无法解释湿润环境中植被格局的存在。我们探索了一个由毒性介导的植被格局形成模型的丰富结构。该模型由三个偏微分方程组成，描述了生物量、水分和有毒化合物之间的动态平衡。模型参数空间的不同（生态上可行的）区域在图灵和非图灵状态下产生稳定的空间植被格局。强烈的负反馈产生动态空间格局，这些格局在空间中持续移动，同时保持其稳定的拓扑结构。
