Title of article :
Traveling wavefronts in diffusive and
cooperative Lotka–Volterra system
with delays
Author/Authors :
Jianhua Huang، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2002
Abstract :
Existence of traveling wave front solutions is established for diffusive and cooperative
Lotka–Volterra system with delays. The result is an extension of an existing result for
delayed logistic scaler equation to systems, and is somewhat parallel to the existing
result for diffusive and competitive Lotka–Volterra systems without delay. The approach
used in this paper is the upper–lower solution technique and the monotone iteration
recently developed by Wu and Zou (J. Dynam. Differential Equations 13 (2001) 651–687)
for delayed reaction–diffusion systems without the so-called quasimonotonicity. 2002
Elsevier Science (USA). All rights reserved
Keywords :
iteration , Non-quasimonotone , Traveling wave front , Lower solution , Upper solution
Journal title :
Journal of Mathematical Analysis and Applications
Journal title :
Journal of Mathematical Analysis and Applications