Minimal wave speed of competitive lattice dynamical systems with delays

作者：Pan, Shuxia^*; Shi, Hong-Bo

来源：Advances in Difference Equations, 2018, 2018(1): 279.

DOI：10.1186/s13662-018-1745-1

• Upper-lower solutions
• Asymptotic spreading
• Nonmonotone system

This paper deals with the minimal wave speed of delayed lattice dynamical systems. We obtain the minimal wave speed by presenting the existence and nonexistence of traveling wave solutions, which completes the earlier results. In particular, when the wave speed equals the minimal wave speed, traveling wave solutions do not exponentially decay.

• 出版日期2018-8-13
• 单位兰州理工大学; 淮阴师范学院