Advection-mediated coexistence of competing species

By Robert Stephen Cantrell, Chris Cosner, Yuan Lou. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2007

145 citations recorded by the source corpus.

Subfields: Genetics, Public Health, Environmental and Occupational Health, Sociology and Political Science

View Paper: https://www.semanticscholar.org/paper/3c7656ad3b2b2176e9f04899c3fee5455d41b82d

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Citations in the corpus

Some Challenging Mathematical Problems in Evolution of Dispersal and Population Dynamics (2008, background): “Theorem 5.6.3 was established in [ 22 ] under the extra condition that m has at least one isolated global maximum.”
Linear theory for a mixed operator with Neumann conditions (2020, unknown): “…followed by several species, as conﬁrmed by a number of experimental data, see e.g. [56], and theoretically studied under several perspectives, see e.g. [3,5,11,15,20,22–24, As usual, the mathematical framework in (1) is endowed by a spatial domain on which the corresponding equation takes place.”
Principal eigenvalue and eigenfunctions of an elliptic operator with large advection and its application to a competition model (2008, methodology): “The current study of the principal eigenvalue and its eigenfunctions under the Neumann boundary condition is motivated by the recent work [4, 5] on a Lotka-Volterra two species competition model with diffusion and advection along resource gradient.”
Reaction-diffusion-advection models for the effects and evolution of dispersal (2013, background): “In fact, it is shown in [16] that ‖u‖L2(Ω) → 0 as α→∞.”
Approximating the ideal free distribution via reaction–diffusion–advection equations (2008, methodology): “However, for certain types of conditional dispersal, evolution can sometimes favor faster dispersal if that allows the population to track resources more efficiently [11,12,28].”
On the weakly competitive case in a two-species chemotaxis model (2016, background): “n might be highly desirable in many environmental or biotechnological applications.” Fortheeﬀectivenessofnutrient-taxisasadvantageousdispersalstrategyforpopulations inheterogeneousenvironmentsseee.g. [28,7]. Chemotaxis terms in combination with several populations also appear in the context of the h”
Hopf bifurcation in a size-structured population dynamic model with random growth (2009, unknown): “[12] and Chen et al.”