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.
Chen, Yuming and Wang, Lin, "Global Attractivity of a Circadian Pacemaker Model in a Periodic Environment" (2005). Mathematics Faculty Publications. 21.