一类Lotka-Volterra竞争模型的最小波速

张亚菲; 周音波

doi:10.21656/1000-0887.410279

一类Lotka-Volterra竞争模型的最小波速

doi: 10.21656/1000-0887.410279

张亚菲^,,
周音波

西安电子科技大学数学与统计学院, 西安 710071

基金项目:

国家自然科学基金(11671315)

详细信息

作者简介:
张亚菲(1996—), 女, 硕士生(通讯作者. E-mail: zhangyafei@stu.xidian.edu.cn);周音波(1996—), 女, 硕士生(E-mail: 1136339034@qq.com).

通讯作者:
张亚菲(1996—), 女, 硕士生(通讯作者. E-mail: zhangyafei@stu.xidian.edu.cn)

中图分类号: O175.26
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- 被引次数: 0
出版历程
- 收稿日期: 2020-09-16

The Minimal Wave Speed of a Lotka-Volterra Competition Model

ZHANG Yafei^,,
ZHOU Yinbo

School of Mathematics and Statistics, Xidian University, Xi’an 710071, P.R.China

Funds:

The National Natural Science Foundation of China(11671315)

摘要

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.
- 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.
- Lotka-Volterra competition system /
- minimal wave speed /
- speed selection /
- traveling wave solution

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参考文献(17)

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