论文标题

线性与非线性速度选择的前速传播到不稳定状态

Linear vs. nonlinear speed selection of the front propagation into unstable states

论文作者

Wu, Chang-Hong, Xiao, Dongyuan, Zhou, Maolin

论文摘要

在本文中,我们主要考虑经典Lotka-Volterra竞争系统的速度选择问题。从新的角度来看,我们第一次为这个长期存在的问题提出了足够和必要的条件。此外,我们的结果还可以从观察到最小波动波解决方案的衰减速率来揭示单个可动力学系统的线性选择问题的本质。

In this paper, we mainly consider the speed selection problem for the classical Lotka-Volterra competition system. For the first time, we propose a sufficient and necessary condition for this long-standing problem from a new point of view. Moreover, our results can also reveal the essence of the linearly selected problem for the monostable dynamical system from the observation of the decay rate of the minimal traveling wave solution.

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