A discrete-time model for the spread of periodic diseases without immunity

R E Mickens

doi:10.1016/0303-2647(92)90079-e

A discrete-time model for the spread of periodic diseases without immunity

Biosystems. 1992;26(3):193-8. doi: 10.1016/0303-2647(92)90079-e.

Author

R E Mickens¹

Affiliation

¹ Department of Physics, Clark Atlanta University, GA 30314.

PMID: 1567998
DOI: 10.1016/0303-2647(92)90079-e

Abstract

We investigate the properties of a discrete-time model for the spread of an infectious disease that does not confer permanent immunity. The contact rate is assumed to be constant. Our major result is that oscillations occur in the levels of the diseased population. The consequences of vaccination are also studied.

Publication types

Research Support, U.S. Gov't, Non-P.H.S.

MeSH terms

Communicable Disease Control
Communicable Diseases / epidemiology*
Communicable Diseases / immunology
Feedback
Humans
Models, Biological*
Models, Theoretical
Periodicity*
Vaccination