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    Title: Dynamics for a two-species competition-diffusion model with two free boundaries
    Authors: Guo, Jong-Shenq;Wu, Chang-Hong
    Keywords: competition–diffusion model;free boundary problem;spreading– vanishing trichotomy;population dynamics
    Date: 2014-11-05
    Issue Date: 2016-08-18 13:34:02 (UTC+8)
    Abstract: To understand the spreading and interaction of two-competing species, we study the dynamics for a two-species competition–diffusion model with two free boundaries. Here, the two free boundaries which describe the spreading fronts of two competing species, respectively, may intersect each other. Our result shows there exists a critical value such that the superior competitor always spreads successfully if its territory size is above this constant at some time. Otherwise, the superior competitor can be wiped out by the inferior competitor. Moreover, if the inferior competitor does not spread fast enough such that the superior competitor can catch up with it, the inferior competitor will be wiped out eventually and then a spreading–vanishing trichotomy is established. We also provide some characterization of the spreading–vanishing trichotomy via some parameters of the model. On the other hand, when the superior competitor spreads successfully but with a sufficiently low speed, the inferior competitor can also spread successfully even the superior species is much stronger than the weaker one. It means that the inferior competitor can survive if the superior species cannot catch up with it.
    Relation: Nonlinearity 28, pp.1-27
    DOI: 10.1088/0951-7715/28/1/1
    Appears in Collections:[數學學系暨研究所] 會議論文

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