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

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e 0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。

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.