Landscape-induced spatial oscillations in population dynamics
arXiv:2003.00100 · doi:10.1038/s41598-021-82344-8
Abstract
We 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 explore 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. We relate the wavelength and decay length of the wrinkles to the shape of the interaction kernel. Since these spatial structures encode details about the interaction among individuals, we discuss how heterogeneities reveal information that would be hidden in a flat landscape.
References in corpus (14)
- Non-local Interaction Effects on Pattern Formation in Population Dynamics
- Clustering, advection and patterns in a model of population dynamics with neighborhood-dependent rates
- Species clustering in competitive Lotka-Volterra models
- Optimizing the search for resources by sharing information: Mongolian gazelles as a case study
- Spatial memory and taxis-driven pattern formation in model ecosystems
- Wound-up phase turbulence in the Complex Ginzburg-Landau equation
- Vegetation pattern formation in semiarid systems without facilitative mechanisms
- Fluctuations impact on a pattern-forming model of population dynamics with non-local interactions
- Minimal mechanisms for vegetation patterns in semiarid regions
- Pattern formation in reaction-diffusion systems with piece-wise kinetic modulation: an example study of heterogeneous kinetics
- Nonlinear diffusion effects on biological population spatial patterns
- Metapopulation dynamics in a complex ecological landscape
- Extinction dynamics of a discrete population in an oasis
- Front Propagation and Clustering in the Stochastic Nonlocal Fisher Equation