Diffusive spatial movement with memory in an advective environment
Diffusive spatial movement with memory in an advective environment
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DOI：
10.1088/1361-6544/ace605
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发表时间：
2023-07
期刊：
影响因子：
1.7
通讯作者：
Hua Zhang;Hao Wang;Yongli Song;Junjie Wei
中科院分区：
文献类型：
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作者：
Hua Zhang;Hao Wang;Yongli Song;Junjie Wei
河流中物种的运动是由随机扩散、单向水流和具有空间记忆的认知判断驱动的。在本文中，我们建立了一个反应-扩散-平流模型与记忆为基础的扩散和齐次Dirichlet边界条件。证明了非定常正定态的存在性。通过分析相关线性算子的特征值，得到了定态的线性稳定性：非定常定态总是线性稳定的，而与记忆时滞无关，当记忆时滞变化时，模型也具有Hopf分支.此外，理论和数值计算结果表明，大平流湮灭振荡模式，并驱动物种向下游集中。
The movements of species in a river are driven by random diffusion, unidirectional water flow, and cognitive judgement with spatial memory. In this paper, we formulate a reaction–diffusion–advection model with memory-based diffusion and homogeneous Dirichlet boundary conditions. The existence of a nonconstant positive steady state is proven. We obtain the linear stability of the steady state by analysing the eigenvalues of the associated linear operator: the nonconstant steady state can always be linearly stable regardless of the memory delay, while the model can also possess Hopf bifurcation as the memory delay varies. Moreover, theoretical and numerical results show that large advection annihilates oscillation patterns and drives the species to concentrate downstream.