摘要
The stability of traveling wavefronts for a spatially nonlocal population model with quasi-monotonicity and delay is discussed in this article.It is shown that all monostable wavefronts are exponentially stable for large speed with the help of weightedenergy method and comparison principle.The proper selection of the weighted function is necessary to overcome the difficulty caused by the nonlocal nonlinearity for establishing the energy estimates of solutions.
基金
Supported by the NSF of China(Grant No.11761046)
Science and Technology Plan Foundation of Gansu Province of China(Grant No.20JR5RA411)
Foundation of A Hundred Youth Talents Training Program of Lanzhou Jiaotong University.
