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• W2954193735 abstract "Internal feedbacks are commonly present in biological populations and can play a crucial role in the emergence of collective behavior. We consider a generalization of Fisher-KPP equation to describe the temporal evolution of the distribution of a single-species population. This equation includes the elementary processes of random motion, reproduction and, importantly, nonlocal interspecific competition, which introduces a spatial scale of interaction. Furthermore, we take into account feedback mechanisms in diffusion and growth processes, mimicked through density-dependencies controlled by exponents $nu$ and $mu$, respectively. These feedbacks include, for instance, anomalous diffusion, reaction to overcrowding or to rarefaction of the population, as well as Allee-like effects. We report that, depending on the dynamics in place, the population can self-organize splitting into disconnected sub-populations, in the absence of environment constraints. Through extensive numerical simulations, we investigate the temporal evolution and stationary features of the population distribution in the one-dimensional case. We discuss the crucial role that density-dependency has on pattern formation, particularly on fragmentation, which can bring important consequences to processes such as epidemic spread and speciation." @default.
• W2954193735 created "2019-07-12" @default.
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• W2954193735 date "2019-06-26" @default.
• W2954193735 modified "2023-10-14" @default.
• W2954193735 title "Single-species fragmentation: The role of density-dependent feedback" @default.
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• W2954193735 doi "https://doi.org/10.1103/physreve.99.062225" @default.
• W2954193735 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/31330753" @default.
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