Document Type

Article

Publication Date

2005

Department

Mathematics

Abstract

In this paper, we propose a delay differential equation with continuous periodic parameters to model the circadian pacemaker in a periodic environment. First, we show the existence of a positive periodic solution by using the theory of coincidence degree. Then we establish the global attractivity of the periodic solution under two su±cient conditions. These conditions are easily verifiable and are independent of each other. Some numerical simulations are also performed to demonstrate the main results.

Comments

This article was originally published in Discrete and Continuous Dynamical Systems, Series B, 5(2): 277-288

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