TY - JOUR
T1 - Advantage and Disadvantage of Dispersal in Two-Species Competition Models
AU - Winkler , Michael
AU - Lou , Yuan
JO - CSIAM Transactions on Applied Mathematics
VL - 1
SP - 86
EP - 103
PY - 2020
DA - 2020/03
SN - 1
DO - http://doi.org/10.4208/csiam-am.2020-0002
UR - https://global-sci.org/intro/article_detail/csiam-am/16794.html
KW - Competition, diffusion, population dynamics.
AB - <p style="text-align: justify;">We consider a two-species competition model in which both populations
are identical except their movement strategies: One species moves upward along the
fitness gradient, while the other does not diffuse. While both species can coexist in
homogeneous environment, we show that the species with directed movement has
some advantage over the non-diffusing species in certain measurement. In contrast,
if one species moves by random dispersal while the other does not diffuse, then the
non-diffusing population could have advantage. Understanding the full dynamics of
these ODE-PDE hybrid systems poses challenging mathematical questions.</p>