Spreading of two competing species governed by a free boundary model in a shifting environment

Author(s)
Lei, Chengxia
Nie, Hua
Dong, Wei
Du, Yihong
Publication Date
2018-06-15
Abstract
We investigate the long-time spreading behavior of two competing species in a shifting environment. The evolution of the population densities of the species is governed by a one space dimension diffusive Lotka-Volterra competition system with two different free boundaries, describing a dynamical process of two competitors invading into the new habitat in the same direction. It is assumed that the unfavourable region of the environment moves into the otherwise favourable homogeneous environment with a given speed c>0 in the spreading direction of the species. By close examination of certain simple cases, we show that such a shifting environment could reverse the fates of the species. A complete classification of the long-time dynamical behavior of the system is obtained for such cases.
Citation
Journal of Mathematical Analysis and Applications, 462(2), p. 1254-1282
ISSN
1096-0813
0022-247X
Link
Publisher
Academic Press
Title
Spreading of two competing species governed by a free boundary model in a shifting environment
Type of document
Journal Article
Entity Type
Publication

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