Oscillation and global attractivity in a delay periodic host macroparasite model

In this paper, we shall consider the nonlinear delay host macroparasite model with periodic coefficients (with common period ω  ). By means of a continuation theorem in coincidence degree theory, we establish a sufficient condition for the existence of a positive periodic solution M¯(t) with strictly positive components. Also, we establish some sufficient conditions for oscillation of all positive solutions about the positive periodic solution M¯(t) and establish a sufficient condition for the global attractivity of M¯(t).