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

Ting-Hui Yang, Cheng-Hsiung Hsu
2010 Discrete and continuous dynamical systems. Series B  
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 * .
doi:10.3934/dcdsb.2010.14.111 fatcat:y4mkqddmvreihdaewz3bl7yqr4