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

Mathematical Modelling of Natural Phenomena (2010)

- Volume: 2, Issue: 4, page 105-121
- ISSN: 0973-5348

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topSeno, 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 -

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