A final size relation for epidemic models of vector-transmitted diseases

Fred Brauer

doi:10.1016/j.idm.2016.12.001

A final size relation for epidemic models of vector-transmitted diseases

Infect Dis Model. 2016 Dec 12;2(1):12-20. doi: 10.1016/j.idm.2016.12.001. eCollection 2017 Feb.

Author

Fred Brauer¹

Affiliation

¹ University of British Columbia, Vancouver, BC, Canada.

Abstract

We formulate and analyze an age of infection model for epidemics of diseases transmitted by a vector, including the possibility of direct transmission as well. We show how to determine a basic reproduction number. While there is no explicit final size relation as for diseases transmitted directly, we are able to obtain estimates for the final size of the epidemic.