Temporally interruptive interaction allows mutual invasion of two competing species dispersing in space
Mathematical Modelling of Natural Phenomena Volume 2 Issue 4
Page 105-121
published_at 2007
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| File | |
| Title ( eng ) |
Temporally interruptive interaction allows mutual invasion of two competing species dispersing in space
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| Creator | |
| Source Title |
Mathematical Modelling of Natural Phenomena
|
| Volume | 2 |
| Issue | 4 |
| Start Page | 105 |
| End Page | 121 |
| Abstract |
With a reaction-diffusion system, we consider the dispersing two-species Lotka-Volterra model with a temporally periodic interruption of the interspecific competitive relationship. We assume that the competition coefficient becomes a given positive constant and zero by turns periodically in time. We investigate the condition for the coexistence of two competing species in space, especially in the bistable case for the population dynamics without dispersion. We could find that the spatial coexistence, that is, the spatially mutual invasion of two competing species appears with two opposite-directed travelling waves if a condition for the temporal interruption of the interspecific relationship is satisfied. Further, we give a suggested mathematical expression of the velocity of travelling waves.
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| Keywords |
population dynamics
reaction-diffusion
competition
coexistence
invasion
Lotka-Volterra system
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| NDC |
Biology [ 460 ]
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| Language |
eng
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| Resource Type | journal article |
| Publisher |
EDP Sciences
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| Date of Issued | 2007 |
| Rights |
Copyright (c) 2007 EDP Sciences
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| Publish Type | Version of Record |
| Access Rights | open access |
| Source Identifier |
[DOI] 10.1051/mmnp:2008027
[DOI] http://dx.doi.org/10.1051/mmnp:2008027
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