Spatial Ecology via Reaction-Diffusion Equations: Cantrell/Diffusion
By Robert Stephen Cantrell, Chris Cosner. 2003
1,657 citations recorded by the source corpus.
Subfields: Ecology
View Paper: https://www.semanticscholar.org/paper/d67d6d6110b49f4568f418a74ae0da097253d3da
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In Ecology
Citations in the corpus
- Competition of three species in an advective environment (2012, background): “Of course, the persistence condition of a single species is determined precisely by the dominant eigenvalue [7].”
- Diffusive and nondiffusive population models (2010, background): “Whereas in the logistic growth case (with a(x) > 0) there exists a unique nonnegative steady state (positive for slow diffusion and zero for fast diffusion; see [19]), there may be two steady states when an Allee effect is present [131].”
- Dynamics and pattern formation in a diffusive predator–prey system with strong Allee effect in prey (2011, neutral): “A variety of theoretical approaches has been developed and considerable progress has been made during the last three decades [5,8,11,26,30,35,44].”
- Spatial, temporal and spatiotemporal patterns of diffusive predator-prey models with mutual interference (2015, background): “Therefore, different spatial effects have been introduced into population models, such as diffusion and dispersal (Cantrell & Cosner, 2003).”
- Local dynamics of a diffusive predator–prey model in spatially heterogeneous environment (2017, background): “The asymptotic behavior of θ as µ tends to zero or infinity is well known (See e.g. [15, Lemma 2.3]).”
- Some Challenging Mathematical Problems in Evolution of Dispersal and Population Dynamics (2008, background): “The book by Cantrell and Cosner [12], which covers many major issues in spatial ecology via the reaction-diffusion approach, motivates this current survey.”