%0 Journal Article
%T Global stability for delay SIR and SEIR epidemic models with saturated incidence rates
%A Abdelhadi Abta
%A Abdelilah Kaddar
%A Hamad Talibi Alaoui
%J Electronic Journal of Differential Equations
%D 2012
%I Texas State University
%X In this article we propose a comparison of a delayed SIR model and its corresponding SEIR model in terms of global stability. We consider a saturated incidence rate and we determine, using Lyapunov functionals, conditions by which the disease-free equilibrium and the endemic equilibrium are globally asymptotically stable. Also some numerical simulations are given to compare a global behaviour of a delayed SIR model and its corresponding SEIR model.
%K SIR epidemic model
%K SEIR epidemic model
%K incidence rate
%K delay differential equations
%K Lyapunov function
%K global stability
%U http://ejde.math.txstate.edu/Volumes/2012/23/abstr.html