Wave propagation in a two-dimensional lattice dynamical system with global interaction

Wave propagation in a two-dimensional lattice dynamical system with global interaction
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具有全局相互作用的二维晶格动力系统中的波传播

DOI:
10.1016/j.jde.2020.03.041
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发表时间:
2020-08
期刊:
J. Differential Equations
影响因子:
--
通讯作者:
许钊泉
许钊泉
中科院分区:
其他
文献类型:
--
作者:
许钊泉

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In this paper, we study the wave propagation in a two-dimensional lattice dynamical system withglobal interaction, which arises in the study of a single species population with two age classes and a fixed maturation period living in a two-dimensional spatial unbounded environment. We consider the monostable case and show that for any given admissible speed, all the wave profiles propagating toward a fixed direction have the same asymptotic behaviors when they approach the limiting states, and they are unique up to translation. Moreover, we prove that all the wave profiles remain strictly increasing in the propagation process.
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