Latest News

About CAMQ

Information for Authors

Editorial Board

Browse CAMQ Online

Subscription and Pricing

CAMQ Contacts

CAMQ Home

 

Volume 6,     Number 1,     Spring 1998

 

A MODEL FOR DISEASES WITHOUT
IMMUNITY IN A VARIABLE SIZE POPULATION
LYNNE GENIK AND P. VAN DEN DRIESSCHE

Abstract. A disease transmission model is formulated for a variable size population that is divided into susceptible, exposed, and infective classes. The model has standard incidence, a general probability P(t) describing the rate of leaving the exposed class and recruitment-death demographics. A threshold parameter R0 is identified; for R0 > 1 there is a unique endemic equilibrium. For two important special cases of P(t), namely an exponential function and a step function, the disease dies out if R0 < 1 and (locally) approaches the endemic equilibrium if R0 > 1. No periodic solutions are found.

 

Download PDF Files
 
(Subscribers Only)

© 2005, Canadian Applied Mathematics Quarterly (CAMQ)