Temporally Interruptive Interaction Allows Mutual Invasion of Two Competing Species Dispersing in Space

Seno, Hiromi. "Temporally Interruptive Interaction Allows Mutual Invasion of Two Competing Species Dispersing in Space." Mathematical Modelling of Natural Phenomena 2.4 (2010): 105-121. <http://eudml.org/doc/222232>.

@article{Seno2010,
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. },
author = {Seno, Hiromi},
journal = {Mathematical Modelling of Natural Phenomena},
keywords = {population dynamics; reaction-diffusion; competition; coexistence; invasion; Lotka-Volterra system; Lotka-Volterra system},
language = {eng},
month = {3},
number = {4},
pages = {105-121},
publisher = {EDP Sciences},
title = {Temporally Interruptive Interaction Allows Mutual Invasion of Two Competing Species Dispersing in Space},
url = {http://eudml.org/doc/222232},
volume = {2},
year = {2010},
}

TY - JOUR
AU - Seno, Hiromi
TI - Temporally Interruptive Interaction Allows Mutual Invasion of Two Competing Species Dispersing in Space
JO - Mathematical Modelling of Natural Phenomena
DA - 2010/3//
PB - EDP Sciences
VL - 2
IS - 4
SP - 105
EP - 121
AB - 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.
LA - eng
KW - population dynamics; reaction-diffusion; competition; coexistence; invasion; Lotka-Volterra system; Lotka-Volterra system
UR - http://eudml.org/doc/222232
ER -