Roques Lionel, Stoica Radu S
INRA, Unité Biostatistique et Processus Spatiaux, Domaine Saint Paul - Site Agroparc, Avignon, France.
J Math Biol. 2007 Aug;55(2):189-205. doi: 10.1007/s00285-007-0076-8. Epub 2007 Feb 10.
This paper presents a study of a nonlinear reaction-diffusion population model in fragmented environments. The model is set on R(N), with periodic heterogeneous coefficients obtained using stochastic processes. Using a criterion of species persistence based on the notion of principal eigenvalue of an elliptic operator, we provided a precise numerical analysis of the interactions between habitat fragmentation and species persistence. The obtained results clearly indicated that species persistence strongly tends to decrease with habitat fragmentation. Moreover, comparing two stochastic models of landscape pattern generation, we observed that in addition to local fragmentation, a more global effect of the position of the habitat patches also influenced species persistence.
本文呈现了对碎片化环境中一个非线性反应扩散种群模型的研究。该模型设定在(R(N))上，具有通过随机过程获得的周期性非均匀系数。基于椭圆算子主特征值的概念，利用物种持续性准则，我们对栖息地碎片化与物种持续性之间的相互作用进行了精确的数值分析。所得结果清楚地表明，物种持续性强烈倾向于随着栖息地碎片化而降低。此外，比较两种景观格局生成的随机模型，我们观察到，除了局部碎片化之外，栖息地斑块位置的更全局效应也影响了物种持续性。
