Effects of Genetic Immunity and Resistance on Endemics

Authors

James P. Braselton, Georgia Southern UniversityFollow
Martha L. Abell, Georgia Southern UniversityFollow
Lorraine Braselton, Georgia Southern UniversityFollow

Document Type

Article

Publication Date

4-1-2008

Publication Title

Applied Mathematics and Computation

DOI

10.1016/j.amc.2007.08.009

ISSN

0096-3003

Abstract

We incorporate basic genetics into an SIS endemic model of a disease that is spread primarily by individual–individual contact after it is introduced into the population. We illustrate that if a homozygote is immune to the disease or is resistant to the effects of the disease, the corresponding allele goes to fixation. On the other hand, if the heterozygote is immune to the disease or is resistant to the effects of the disease, polymorphism usually occurs. However, under some conditions, polymorphism may not occur.

Recommended Citation

Braselton, James P., Martha L. Abell, Lorraine Braselton. 2008. "Effects of Genetic Immunity and Resistance on Endemics." Applied Mathematics and Computation, 197 (2): 733-744. doi: 10.1016/j.amc.2007.08.009
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/11