Spatial ecology via reaction-diffusion equations

By B. Cox. Mathematical Gazette, 2005

153 citations recorded by the source corpus.

Citations in the corpus

Loops and branches of coexistence states in a Lotka-Volterra competition model (2006, unknown): “, [5]) that C(μ) > 0 if and only if h changes sign and ∫ Ω h(x)θ3(x,μ)dx > 0.”
Existence and non-existence of spatial patterns in a ratio-dependent predator–prey model (2015, unknown): “…spot pattern, labyrinthine pattern, stripe pattern, target pattern, spiral pattern, tip-splitting pattern, interacting spiral pattern and chaotic pattern (Banerjee and Banerjee, 2012; Cantrell and Cosner, 2003; Malchow et al., 2008; Shoji et al., 2003; Shoji and Iwasa, 2005; Upadhyay et al., 2010).”
Asymptotic Behavior of the Principal Eigenvalue for Cooperative Elliptic Systems and Applications (2015, unknown): “By standard variational argument, it follows readily that ([2]) lim d→0+ λ1(d + q) = −max x∈̄ q(x).”
The effects of diffusion and spatial variation in Lotka–Volterra competition–diffusion system I: Heterogeneity vs. homogeneity (2013, unknown): “[1] for the proof of existence and uniqueness results of (3).”
The diffusive competition model with a free boundary: Invasion of a superior or inferior competitor (2013, unknown): “1) is a variation of the diffusive Lotka-Volterra competition model, which is often considered over a bounded spatial domain with suitable boundary conditions or considered over the entire space RN ([3, 13]).”