Oscillation and Global Attractivity in a Nonlinear Delay Periodic Model of Respiratory Dynamics

In this paper, we shall consider the nonlinear delay differential equation where m and n are positive integers, and V(t) and λ(t) are positive periodic functions of period ω. In the nondelay case, we shall show that (∗) has a unique positive periodic solution x(t) and provides sufficient conditions for the global attractivity of x(t). In the delay case, we shall present sufficient conditions for the oscillation of all positive solutions of (∗) about x(t) and establish sufficient conditions for the global attractivity of x(t).

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