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A moving-mesh finite-difference method for segregated two-phase competition-diffusion

Baines, M. J. and Christou, K. (2021) A moving-mesh finite-difference method for segregated two-phase competition-diffusion. Mathematics, 9 (4). 386. ISSN 2227-7390

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To link to this item DOI: 10.3390/math9040386


A moving-mesh finite-difference solution of a Lotka-Volterra competition-diffusion model of theoretical ecology is described in which the competition is sufficiently strong to spatially segregate the two populations, leading to a two-phase problem with a coupling condition at the moving interface. A moving mesh approach preserves the identities of the two species in space and time, so that the parameters always refer to the correct population. The model is implemented numerically with a variety of parameter combinations, illustrating how the populations may evolve in time.

Item Type:Article
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
ID Code:96294
Uncontrolled Keywords:segregation, competition, interface condition, velocity-based moving meshes, finite-differences


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