TY - JOUR A2 - Pancioni, Luca AU - Wu, Fuzhen PY - 2019 DA - 2019/06/02 TI - Minimal Wave Speed in a Delayed Lattice Dynamical System with Competitive Nonlinearity SP - 1950767 VL - 2019 AB - This paper deals with the minimal wave speed of delayed lattice dynamical systems without monotonicity in the sense of standard partial ordering in R2. By constructing upper and lower solutions appealing to the exponential ordering, we prove the existence of traveling wave solutions if the wave speed is not smaller than some threshold. The nonexistence of traveling wave solutions is obtained when the wave speed is smaller than the threshold. Therefore, we confirm the threshold is the minimal wave speed, which completes the known results. SN - 1026-0226 UR - https://doi.org/10.1155/2019/1950767 DO - 10.1155/2019/1950767 JF - Discrete Dynamics in Nature and Society PB - Hindawi KW - ER -