三物种竞争-扩散系统双稳行波解的波速符号

郑景盼

doi:10.21656/1000-0887.420093

三物种竞争-扩散系统双稳行波解的波速符号

doi: 10.21656/1000-0887.420093

郑景盼^,

西安电子科技大学数学与统计学院，西安 710071

详细信息

作者简介:
郑景盼(1993—), 男, 硕士(E-mail: 1695886501@qq.com).

通讯作者:
郑景盼(1993—), 男, 硕士(E-mail: 1695886501@qq.com).

中图分类号: O175.14
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- 文章访问数: 763
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- 被引次数: 0
出版历程
- 收稿日期: 2021-04-13
- 修回日期: 2021-06-02
- 网络出版日期: 2021-12-31

The Wave Speed Signs for Bistable Traveling Wave Solutions in 3-Species Competition-Diffusion Systems

ZHENG Jingpan^,

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

摘要

摘要: 在双稳竞争-扩散模型中,由于行波解的波速符号可以预测哪些物种更具有优势并最终占据整个栖息地,因此研究行波解的波速符号具有重要的生物学意义.首先将三物种种群Lotka-Volterra竞争-扩散系统转化为合作系统.然后运用比较原理得到双稳波速与波廓方程特定上下解波速的比较原理.最后根据比较原理以及构造合适的上下解，得到一些判断双稳行波解波速符号的充分条件.这些结果能够更好地预测和控制生物种群的竞争结果.
- Lotka-Volterra竞争模型 /
- 波速符号 /
- 行波解
Abstract: In the bistable competition-diffusion model, the wave speed signs for the traveling waves can predict which species are more dominant and will eventually occupy the whole habitat. Therefore, it is of great biological significance to study the speed signs for the traveling waves. Firstly, the Lotka-Volterra competition-diffusion system was transformed into a cooperative system. Under the comparison principle, the comparison theorem for the bistable wave speed and the specific upper-lower solution wave speeds of wave profile equations was obtained. Then, according to the comparison theorem and through construction of suitable upper-lower solutions, some sufficient conditions for determining the bistable traveling wave speed signs were obtained. The results help predict and control the competition results of biological populations.
- Lotka-Volterra model /
- speed sign /
- traveling wave solution

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参考文献(18)

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