MUTUAL INTERFERENCE BETWEEN PREDATORS CAN GIVE RISE TO TURING SPATIAL PATTERNS

By David Alonso, Frederic Bartumeus, J. Catalán. 2002

201 citations recorded by the source corpus.

Subfields: Computer Networks and Communications, Genetics, Public Health, Environmental and Occupational Health

View Paper: https://www.semanticscholar.org/paper/3696b30d042ccd6d0d9cf953d1821678b143d14e

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In Computer Networks and Communications

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Citations in the corpus

• Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference (2015, background): “Alonson et al. (2002) demonstrated that diffusive predator–prey models with ratio-dependent functional response can also generate patchiness in a homogeneous environment via Turing instability. The prey-dependent functional response is derived based on the assumption that predators do not interfere ”
• Predator cannibalism can give rise to regular spatial pattern in a predator–prey system (2009, background): “On the other hand, pattern formation in nonlinear complex systems is one of the central problems of the natural, social, and technological sciences [13, 14].”
• Pattern formation of a predator-prey system with Ivlev-type functional response (2008, background): “In reference ( Alonso, Bartumeus & Catalan, 2002), the authors also indicted that a simple general model for predator-prey dynamics with predator-dependent functional response, a reaction-diffusion system that could develop diffusion-driven instabilities.”
• Finite-Difference Schemes for Reaction–Diffusion Equations Modeling Predator–Prey Interactions in MATLAB (2007, background): “(1995), Alonso et al. (2002), Gurney et al. (1998), Rai and Jayaraman (2003), and Savill and Hogeweg (1999). In addition to works on spatiotemporal phenomena such as waves and chaos, there is a large group of papers on stationary spatial patterns in predator–prey systems.”
• Existence and non-existence of spatial patterns in a ratio-dependent predator–prey model (2015, unknown): “Most of the time one can find stationary spot pattern (hot spot or cold spot) as a resulting pattern for parameters within the Turing domain (Alonso et al., 2002; Banerjee, 2010; Fasani and Rinaldi, 2011; Sun et al., 2009; Wang et al., 2007; Volpert and Petrovskii, 2009).”