Infinite Plaques With Any Mature Delay Model Of Traveling Wave Solutions With Time Delay Nonlinear Cnn System Traveling Wave Solutions And Their Behavior

This paper is divided into two parts. In the first part .we derive a lattice model for a single species on infinite patches with one-dimensional space that the maturation could occur at any age. We establish the existence of monotone traveling wave solution provided wave speed c satisfies some conditions arid the zero solution is asymptotically attractive when there is a unique zero equilibrium for the equation, in this sence, the species tends to extinction.We consider the traveling waves of a delay CNN system with the output function f given as a non-linear function in the latter. We show the existence of monotone traveling waves solutions and describe the global structure of traveling waves such as monotone, damped oscillation, periodic oscillation and unbounded etc as the wave speed c is classified in R.