TY - JOUR
T1 - Dynamical Behavior of a Lotka-Volterra Competitive System from River Ecology
AU - Wei , Jinyu
AU - Liu , Bin
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 1
EP - 21
PY - 2023
DA - 2023/01
SN - 13
DO - http://doi.org/10.4208/eajam.220821.150322
UR - https://global-sci.org/intro/article_detail/eajam/21299.html
KW - Competitive system, homogeneous environment, globally asymptotically stable, principal eigenvalue, monotone dynamical system.
AB - <p style="text-align: justify;">This work is devoted to the study of a two-species competition model in advective homogenous environment from the river ecology. We assume that two species
live in a special river where the upstream end has free-flow boundary conditions. This
means that the upstream end is linked to a lake. On the other hand, at the downstream
end the population may be exposed to differing magnitudes of individuals loss. We
mainly study the influence of inter-specific competition intensities on the competition
outcome and show that the contest is very complex—viz. either one of competitors
becomes a single winner (exclusion), or both populations coexist, or both species go to
extinction.</p>