Periodic stationary solutions of the Nagumo lattice differential equation: existence regions and their number
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DOI: 10.14232/ejqtde.2021.1.23
Abstract: The Nagumo lattice differential equation admits stationary solutions with arbitrary spatial period for sufficiently small diffusion rate. The continuation from the stationary solutions of the decoupled system (a system of isolated nodes) is used to… read more here.
Keywords: differential equation; lattice differential; equation; stationary solutions ... See more keywords
Traveling wave solutions in a class of higher dimensional lattice differential systems with delays and applications
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DOI: 10.21136/am.2021.0159-19
Abstract: In this paper, we are concerned with the existence of traveling waves in a class of delayed higher dimensional lattice differential systems with competitive interactions. Due to the lack of quasimonotonicity for reaction terms, we… read more here.
Keywords: differential systems; higher dimensional; dimensional lattice; traveling wave ... See more keywords