Landscape-induced spatial oscillations in population dynamics

Author:

Dornelas Vivian,Colombo Eduardo H.,López Cristóbal,Hernández-García Emilio,Anteneodo Celia

Abstract

AbstractWe study the effect that disturbances in the ecological landscape exert on the spatial distribution of a population that evolves according to the nonlocal FKPP equation. Using both numerical and analytical techniques, we characterize, as a function of the interaction kernel, the three types of stationary profiles that can develop near abrupt spatial variations in the environmental conditions vital for population growth: sustained oscillations, decaying oscillations and exponential relaxation towards a flat profile. Through the mapping between the features of the induced wrinkles and the shape of the interaction kernel, we discuss how heterogeneities can reveal information that would be hidden in a flat landscape.

Publisher

Springer Science and Business Media LLC

Subject

Multidisciplinary

Reference46 articles.

1. Fisher, R. The wave of advance of advantageous genes. Ann. Eugen. 7, 355–369 (1937).

2. Kolmogorov, A. N., Petrovskii, I. & Piskunov, N. Study of a diffusion equation that is related to the growth of a quality of matter and its application to a biological problem. Moscow University Mathematics Bulletin 1, 1–26 (1937).

3. Cencini, M., Lopez, C. & Vergni, D. Reaction–Diffusion Systems: Front Propagation and Spatial Structures, 187–210 (Springer, Berlin Heidelberg, Berlin, Heidelberg, 2003).

4. Turing, A. M. The chemical basis of morphogenesis. Bulletin of mathematical biology 52, 153–197 (1990).

5. Klausmeier, C. A. Regular and irregular patterns in semiarid vegetation. Science 284, 1826–1828 (1999).

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