Qualitative analysis for a Lotka-Volterra competition system in advective homogeneous environment
By Yuan Lou, Dongmei Xiao, Peng Zhou. 2015
101 citations recorded by the source corpus.
We study a two-species Lotka-Volterra competition model in an advective homogeneous environment. It is assumed that two species have the same population dynamics and diffusion rates but different advection rates. We show that if one competitor disperses by random diffusion only and the other assumes both random and directed movements, then the one without advection prevails. If two competitors are drifting along the same direction but with different advection rates, then the one with the smaller advection rate wins. Finally we prove that if the two competitors are drifting along the opposite direction, then two species will coexist. These results imply that the movement without advection in homogeneous environment is evolutionarily stable, as advection tends to move more individuals to the boundary of the habitat and thus cause the distribution of species mismatch with the resources which are evenly distributed in space.
Subfields: Genetics, Public Health, Environmental and Occupational Health, Sociology and Political Science
View Paper: https://www.semanticscholar.org/paper/437d952ffdbc5b6bdac30b7c057d16a99e411a9c
Citations in the corpus
- Global Dynamics of a Two Species Competition Model in Open Stream Environments (2016, unknown): “2 indicates that themovement strategy of faster diffusion together with weaker advection has more competitive advantages, which can be seen as a generalized version of [13] (small advection wins) and [12] (faster diffusion wins).”
- Global dynamics of a Lotka–Volterra competition–diffusion–advection system in heterogeneous environments (2019, unknown): “Another case, d1 6= d2 and α1 = 0 α2, which means that one species undergoes random diffusion only (no advection) while the other one takes both random and biased movements, has been recently studied by Zhao and Zhou [37], where they found much richer phenomena than the corresponding homogeneous c”