The Minimal Wave Speed of a Lotka-Volterra Competition Model
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摘要: 研究了一类带有单稳非线性项的三物种竞争系统行波解最小波速的速度选择.首先利用比较方法,通过构造适当的上下解,建立了最小波速的速度选择机制.然后证明了物种的竞争系数关于速度选择的阈值结果,并得到了阈值的估计.最后借助数值模拟说明所得结果推广了已有文献的相关工作.
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关键词:
- Lotka-Volterra竞争系统 /
- 最小波速 /
- 速度选择 /
- 行波解
Abstract: The minimal wave speed selection for the traveling waves of a 3-species competition system with monostable nonlinearity was considered. First, a comparison method was used to establish minimal-speed selection mechanisms through construction of subtle upper and lower solutions. Then, the speed selection about the threshold values of competition coefficients and the estimations were obtained. Finally, some numerical simulations were performed to show that the obtained results extend those in the previous literatures. -
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