title: The stability of an sir epidemic model with time delays.
abstract: In this paper, an SIR epidemic model for the spread of an infectious disease transmitted by direct contact among humans and vectors (mosquitoes ) which have an incubation time to become infectious is formulated. It is shown that a disease-free equilibrium point is globally stable if no endemic equilibrium point exists. Further, the endemic equilibrium point (if it exists) is globally stable with respect to a "weak delay". Some known results are generalized.
authors.affiliation: Department of mathematics, North University of China, Taiyuan 030051, PR China. jinzhn@263.net.
authors.forename: Zhen
authors.initials: Z
authors.lastname: Jin
authors.forename: Zhien
authors.initials: Z
authors.lastname: Ma