Accessibility navigation


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

[img]
Preview
Text (Open Access) - Published Version
· Available under License Creative Commons Attribution.
· Please see our End User Agreement before downloading.

901kB

It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing.

To link to this item 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
Refereed:Yes
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
Publisher:MDPI

Downloads

Downloads per month over past year

University Staff: Request a correction | Centaur Editors: Update this record

Page navigation