Modeling relapse in infectious diseases

  • Date: 11/20/2006

Pauline van den Driessche (University of Victoria)


University of British Columbia


An integro-differential equation is proposed to model a general relapse
phenomenon in infectious diseases including herpes. The basic
reproduction number Ro for the model is identified and a threshold
property of Ro established. For the case of a constant relapse period
(giving a delay differential equation), this is achieved by conducting
a linear stability analysis of the model, and employing the
Lyapunov-Razumikhin technique and monotone dynamical systems theory for
global results. Numerical simulations, with parameters relevant for
herpes, are presented to complement the theoretical results, and no
evidence of sustained oscillatory solutions is found.

Other Information: 

PIMS-MITACS Mathematical Biology Seminar Series 2006