Spreading speeds for a two-species competition-diffusion system
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DOI: 10.1016/j.jde.2017.10.017
Abstract: Abstract In this paper, spreading properties of a competition-diffusion system of two equations are studied. This system models the invasion of an empty favorable habitat, by two competing species, each obeying a logistic growth equation,… read more here.
Keywords: diffusion system; two species; system; competition diffusion ... See more keywords
On a Lotka-Volterra competition-diffusion-advection system: Homogeneity vs heterogeneity
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Differential Equations"
DOI: 10.1016/j.jde.2019.09.003
Abstract: Abstract As we know, interactions between movement and environmental heterogeneity could create very interesting phenomena in population dynamics. In this paper, based on a Lotka-Volterra competition-diffusion-advection system, we try to reveal the combined effect of… read more here.
Keywords: volterra competition; lotka volterra; diffusion advection; competition ... See more keywords
Global Directed Dynamic Behaviors of a Lotka-Volterra Competition-Diffusion-Advection System
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DOI: 10.3390/axioms10030195
Abstract: This paper investigates the problem of the global directed dynamic behaviors of a Lotka-Volterra competition-diffusion-advection system between two organisms in heterogeneous environments. The two organisms not only compete for different basic resources, but also the… read more here.
Keywords: system; diffusion; global directed; directed dynamic ... See more keywords
A Moving-Mesh Finite-Difference Method for Segregated Two-Phase Competition-Diffusion
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DOI: 10.3390/math9040386
Abstract: 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… read more here.
Keywords: competition; mesh finite; moving mesh; competition diffusion ... See more keywords