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By applying the fixed point theorem, we derive some new criteria for the existence of multiple positive periodic solutions for two kinds of  n-dimension periodic impulsive functional differential equations with multiple delays and two parameters: xi′(t)=ai(t)xi(t)-λbi(t)fi(t,x(t),x(t-τ1(t)),…,x(t-τn(t)))), a.e., t>0, t≠tk, k∈Z+, xi(tk+)-xi(tk-)=μcikxi(tk), i=1,2,…,n, k∈Z+, and xi′(t)=-ai(t)xi(t)+λbi(t)fi(t,x(t),x(t-τ1(t)),…,x(t-τn(t)))), a.e., t>0, t≠tk, k∈Z+, xi(tk+)-xi(tk-)=μcikxi(tk), i=1,2,…,n, k∈Z+. As an application, we study some special cases of the previous systems, which have been studied extensively in the literature

Multiple Positive Periodic Solutions for Two Kinds of Higher-Dimension Impulsive Differential Equations with Multiple Delays and Two Parameters