Abstract
In this paper we will consider the nonlinear impulsive delay host–macroparasite model with periodic coefficients. By means of the continuation theorem of coincidence degree, we establish a sufficient condition for the existence of a positive periodic solution
M
¯
(
t
)
with strictly positive components. Moreover, we establish a sufficient condition for the global attractivity of
M
¯
(
t
)
and some sufficient conditions for oscillation of all positive solutions about the positive periodic solution
M
¯
(
t
)
.