This paper is concerned with the existence and asymptotic behavior of invasion wave solutions for a time-discrete delayed diffusion competitive system with non-quasimonotone conditions. The existence of invasion wave ...This paper is concerned with the existence and asymptotic behavior of invasion wave solutions for a time-discrete delayed diffusion competitive system with non-quasimonotone conditions. The existence of invasion wave solution is investigated by applying upper lower solutions method and Schauder's fixed point theorem. Further, with the help of Ikeharas' theorem, we establish the exponential decay asymptotic behavior of traveling wave solutions at the minus/plus infinity.展开更多
文摘This paper is concerned with the existence and asymptotic behavior of invasion wave solutions for a time-discrete delayed diffusion competitive system with non-quasimonotone conditions. The existence of invasion wave solution is investigated by applying upper lower solutions method and Schauder's fixed point theorem. Further, with the help of Ikeharas' theorem, we establish the exponential decay asymptotic behavior of traveling wave solutions at the minus/plus infinity.