| 徐晓雯,潘超红.ALLEE效应对晶格河流模型的速度选择的影响[J].南华大学学报(自然科学版),2023,(6):75~80.[XU Xiaowen,PAN Chaohong.ALLEE Effect on Speed Selection for Lattice River Model[J].Journal of University of South China(Science and Technology),2023,(6):75~80.] |
| ALLEE效应对晶格河流模型的速度选择的影响 |
| ALLEE Effect on Speed Selection for Lattice River Model |
| 投稿时间：2023-07-26 |
| DOI： |
| 中文关键词: 反应-扩散-平流晶格河流模型 Allee效应 行波解 速度选择 |
| 英文关键词:reaction-diffusion-advection lattice river model Allee effect traveling wave solution speed selection |
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| 中文摘要: |
| 本文研究了Allee效应对反应-扩散-平流晶格河流模型的速度选择机制的影响。通过计算线性化系统的特征值,研究了平衡点e0处的渐进行为。进而构造了新奇的上下解,并通过比较原理得到线性速度选择的充分条件。结果表明,只需要构造一组行波并证明是上解,即可得到最小行波速度的线性选择,同时可以得到Allee效应对行波速度的线性选择产生一定的影响。 |
| 英文摘要: |
| In this paper, we investigated the influence of the Allee effect on the speed selection mechanism of the reaction-diffusion-advection lattice river model . The asymptotic behavior at the equilibrium point was investigated by calculating the eigenvalues of the linearized system. Then the novel upper and lower solutions were constructed and the sufficient condition for linear speed selection were obtained by the comparison principle. Then we found it is only necessary to construct a pair of traveling waves and prove that it is an upper solution to obtain a linear speed selection mechanism. And it can also be obtained that the Allee effect has influence on the linear selection of the traveling wave speed. |
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