Spreading speeds in a lattice differential equation with distributed delay | Zendy

Hui-Ling Niu | Zendy

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Spreading speeds in a lattice differential equation with distributed delay

Author(s) -

Hui-Ling Niu

Publication year - 2015

Publication title -

turkish journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.454

H-Index - 27

eISSN - 1303-6149

pISSN - 1300-0098

DOI - 10.3906/mat-1404-69

Subject(s) - mathematics , wave speed , traveling wave , lattice (music) , mathematical analysis , differential equation , delay differential equation , diffusion equation , physics , acoustics , economy , service (business) , economics

This paper studies the spreading speed for a lattice differential equation with infinite distributed delay and we find that the spreading speed coincides with the minimal wave speed of traveling waves. Here the model has been proposed to describe a single species living in a 1D patch environment with infinite number of patches connected locally by diffusion.

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