2009/11/10 by E. Brigatti, M. Oliva, M. Núñez-López +2 · 1 citation
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Medicine · #Common spatial pattern #Mathematical Biology Tumor Growth #Mathematical and Theoretical Epidemiology and Ecology Models #Nonlinear Dynamics and Pattern Formation #Pattern formation #Range (aeronautics) #Scale (ratio) #Space (punctuation) #Spatial ecology #q-bio.PE
paper · pdf · doi:10.1209/0295-5075/88/68002
published as Europhysics Letters, 88 (2009) 68002 · 5 pages, 4 figures
arxiv created 2009/11/10 · openalex publication_date 2009/12/01 · arxiv updated 2016/03/02 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We describe pattern formation in ecological systems using a version of the classical Lotka-Volterra model characterized by a spatial scale which controls the predator-prey interaction range. Analytical and simulational results show that patterns can emerge in some regions of the parameters space where the instability is driven by the range of the interaction. The individual-based implementation captures realistic ecological features. In fact, spatial structures emerge in an erratic oscillatory regime which can contemplate predators' extinction.