Volume 20, Number 1, Spring 2012
GLOBAL DYNAMICS OF A TIME-DELAYED
Dedicated to Herb Freedman on the occasion of his 70th birthday
DENGUE TRANSMISSION MODEL
ZHEN WANG AND XIAO-QIANG ZHAO
Abstract. In this paper, we present a time-delayed dengue transmission model. We first introduce the basic reproduction number for this model and then show that the disease persists when R0 > 1. It is also shown that the disease will die out if R0 < 1, provided that the invasion intensity is not strong. We further establish a set of sufficient conditions for the global attractivity of the endemic equilibrium by the method of fluctuations. Numerical simulations are performed to illustrate our analytic results.