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Asymptotic spreading of interacting species with multiple fronts I: A geometric optics approach by Liu, Qian; Liu, Shuang; Lam, King-Yeung is a scholarly article available to read on EtoBox.

What is Asymptotic spreading of interacting species with multiple fronts I: A geometric optics approach about?

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.

Author

Liu, Qian; Liu, Shuang; Lam, King-Yeung

Published

2019

Language

EN