TY - JOUR

T1 - Temporally interruptive interaction allows mutual invasion of two competing species dispersing in space

AU - Seno, Hiromi

PY - 2007/1

Y1 - 2007/1

N2 - 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.

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.

KW - Lotka-Volterra system

KW - coexistence

KW - competition

KW - invasion

KW - population dynamics

KW - reaction-diffusion

UR - http://www.scopus.com/inward/record.url?scp=79960761079&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=79960761079&partnerID=8YFLogxK

U2 - 10.1051/mmnp:2008027

DO - 10.1051/mmnp:2008027

M3 - Article

AN - SCOPUS:79960761079

SN - 0973-5348

VL - 2

SP - 105

EP - 121

JO - Mathematical Modelling of Natural Phenomena

JF - Mathematical Modelling of Natural Phenomena

IS - 4

ER -