Traveling plane wave solutions of delayed lattice differential systems in competitive Lotka-Volterra type | Zendy

Cheng-Hsiung Hsu | Zendy; TingHui Yang | Zendy

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Traveling plane wave solutions of delayed lattice differential systems in competitive Lotka-Volterra type

Author(s) -

Cheng-Hsiung Hsu,

TingHui Yang

Publication year - 2010

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2010.14.111

Subject(s) - traveling wave , monotone polygon , mathematics , plane (geometry) , mathematical analysis , differential equation , lattice (music) , plane wave , volterra equations , dynamical systems theory , complex plane , physics , nonlinear system , geometry , quantum mechanics , acoustics

In this work we consider the existence of traveling plane wave solutions of systems of delayed lattice differential equations in competitive Lotka-Volterra type. Employing iterative method coupled with the explicit construction of upper and lower solutions in the theory of weak quasi-monotone dynamical systems, we obtain a speed, c *, and show the existence of traveling plane wave solutions connecting two different equilibria when the wave speeds are large than c *.

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