TY - JOUR
T1 - Traveling plane wave solutions of delayed lattice differential systems in competitive Lotka-Volterra type
AU - Hsu, Cheng Hsiung
AU - Yang, Ting Hui
PY - 2010/7
Y1 - 2010/7
N2 - 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*.
AB - 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*.
KW - Delayed lattice differential equations
KW - Heteroclinic solutions
KW - Traveling wave solution
KW - Up-per and lower solutions
UR - http://www.scopus.com/inward/record.url?scp=77957806920&partnerID=8YFLogxK
U2 - 10.3934/dcdsb.2010.14.111
DO - 10.3934/dcdsb.2010.14.111
M3 - 期刊論文
AN - SCOPUS:77957806920
SN - 1531-3492
VL - 14
SP - 111
EP - 128
JO - Discrete and Continuous Dynamical Systems - Series B
JF - Discrete and Continuous Dynamical Systems - Series B
IS - 1
ER -