A model for influenza with vaccination and antiviral treatment.
Compartmental models for influenza that include control by vaccination and antiviral treatment are formulated. Analytic expressions for the basic reproduction number, control reproduction number and the final size of the epidemic are derived for this general class of disease transmission models. Sensitivity and uncertainty analyses of the dependence of the control reproduction number on the parameters of the model give a comparison of the various intervention strategies. Numerical computations of the deterministic models are compared with those of recent stochastic simulation influenza models. Predictions of the deterministic compartmental models are in general agreement with those of the stochastic simulation models.
Arino
Julien
J
Department of Mathematics, University of Manitoba, Winnipeg, Man., Canada. arinoj@cc.umanitoba.ca
Brauer
Fred
F
van den Driessche
P
P
Watmough
James
J
Wu
Jianhong
J
D000998:Antiviral Agents / Q000627:therapeutic use*; D050936:Basic Reproduction Number; D003198:Computer Simulation; D004196:Disease Outbreaks / Q000517:prevention & control; D018562:Disease Transmission, Infectious; D006801:Humans; D007252:Influenza Vaccines / Q000008:administration & dosage*; D007251:Influenza, Human / Q000188:drug therapy / Q000517:prevention & control*; D008954:Models, Biological; D015233:Models, Statistical; D014611:Vaccination
D000998:Antiviral Agents; D007252:Influenza Vaccines