## 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.

Original language | English |
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Pages (from-to) | 105-121 |

Number of pages | 17 |

Journal | Mathematical Modelling of Natural Phenomena |

Volume | 2 |

Issue number | 4 |

DOIs | |

Publication status | Published - 2007 Jan |

Externally published | Yes |

## Keywords

- Lotka-Volterra system
- coexistence
- competition
- invasion
- population dynamics
- reaction-diffusion

## ASJC Scopus subject areas

- Modelling and Simulation
- Applied Mathematics