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Propagation dynamics of an anisotropic nonlocal dispersal equation with delayed nonlocal response
Applied Mathematics Letters ( IF 3.7 ) Pub Date : 2021-04-16 , DOI: 10.1016/j.aml.2021.107327
Li Zhang , Wan-Tong Li

This paper focuses on the critical wave speed and the traveling wave fronts for a general anisotropic nonlocal dispersal equation with delayed nonlocal response. Unlike most of the previous study, both of the dispersal kernel function and the nonlocal response function are asymmetric in such an equation. By analyzing the properties of eigenfunction, we first discuss the sign of the critical wave speed and the influence of the asymmetry of the two kernel functions on the critical wave speed. Then under the monostable condition, by using super- and subsolution and monotone iteration method, we obtain the existence of nondecreasing traveling wave solution for c>c and a limiting argument for c=c. Moreover, we depict the asymptotic behavior of the traveling wave and its derivative at minus infinity.



中文翻译:

具有时滞非局部响应的各向异性非局部扩散方程的传播动力学。

本文重点研究了具有非局部时滞响应的各向异性非局部扩散方程的临界波速度和行波波前。与以前的大多数研究不同,在这种方程式中,色散核函数和非局部响应函数都是不对称的。通过分析本征函数的性质,我们首先讨论临界波速的符号以及两个核函数的不对称性对临界波速的影响。然后在单稳态条件下,通过上下求和单调迭代法,得到了不减行波解的存在性。C>C 和一个限制参数 C=C。此外,我们描绘了行波及其在负无穷远处的导数的渐近行为。

更新日期:2021-04-24
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