Traveling plane wave solutions of delayed lattice differential systems in competitive Lotka-Volterra type
The authors consider the existence of traveling plane wave solutions of systems of delayed lattice differential equations of competitive Lotka-Volterra type. They show that there exists a speed \(c^*\) such that, for any speed \(c>c^*\), the system admits a traveling wave solution connecting two different equilibria. The method used is to employ an iterative method coupled with the explicit construction of upper and lower solutions.
scientific article; zbMATH DE number 5769097