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 doi: 10.3390/math9040386

Abstract/Summary

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
URI	https://reading-clone.eprints-hosting.org/id/eprint/96294
Identification Number/DOI	10.3390/math9040386
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Uncontrolled Keywords	segregation, competition, interface condition, velocity-based moving meshes, finite-differences
Publisher	MDPI
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