Asymptotic spreading of interacting species with multiple fronts I: A geometric optics approach

Qian Liu, Shuang Liu, King Yeung Lam*

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

16 引用 (Scopus)

摘要

We establish spreading properties of the Lotka-Volterra competition-diffusion system. When the initial data vanish on a right half-line, we derive the exact spreading speeds and prove the convergence to homogeneous equilibrium states between successive invasion fronts. Our method is inspired by the geometric optics approach for Fisher-KPP equation due to Freidlin, Evans and Souganidis. Our main result settles an open question raised by Shigesada et al. in 1997, and shows that one of the species spreads to the right with a nonlocally pulled front.

源语言英语
页(从-至)3683-3714
页数32
期刊Discrete and Continuous Dynamical Systems
40
6
DOI
出版状态已出版 - 2020
已对外发布

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