both positive diffusive coefficients and some zero diffusive coefficient cases are considered . finally, for partial decoupling systems, such as competitive-cooperative model with time delay and delayed epidemic model, we employ the new cross-iteration method, together with schauder fixed point theorem, to establish the existence of traveling wave solutions . both partial quasi-monotonicity and partial non-quasimonotonicity cases are considered separately 對于時滯格微分方程,利用schauder不動點(diǎn)定理證明了其波前解的存在性,減少了對上解的限制條件,給出了上、下解在有限個點(diǎn)不連續(xù)時,行波解存在的條件;并將時滯反應(yīng)擴(kuò)散方程的結(jié)論推廣到相應(yīng)的時滯格微分方程組上。