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、下解在有限個點不連續(xù)時,行波解存在的條件;并將時滯反應擴散方程的結論推廣到相應的時滯格微分方程組上。