气候变化下时空时滞非局部扩散Lotka-Volterra竞争系统的强迫波OA

This paper deals with the forced waves for a Lotka-Volterra competition system with spatio-temporal delay and nonlocal dispersal under climate change.First,the existence of the forced waves is converted into a problem of the existence of fixed point of a nonlinear operator by constructing upper and lower solutions,thus the existence of forced waves consistent with the habitat movement velocity is established by using the cross-iteration scheme.In particular,in contrast to those nonlocal diffusion systems without delay and scalar equations with delay and nonlocal diffusion,the appearance of spatio-temporal delay may lead to.It is therefore necessary to construct an auxiliary system for testifying the asymptotic boundary conditions at the negative infinity for forced waves because of the presence of nonlocal diffusion and spatio-temporal delay terms in the system at the same time,which is different from the methods used for scalar equations.