Effects of genetic immunity and resistance on endemics

James Braselton; Martha Abell; Lorraine Braselton

doi:10.1016/j.amc.2007.08.009

Effects of genetic immunity and resistance on endemics

James Braselton, Martha Abell, Lorraine Braselton

Mathematical Sciences

Georgia Southern University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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.

Original language	English
Pages (from-to)	733-744
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	197
Issue number	2
DOIs	https://doi.org/10.1016/j.amc.2007.08.009
State	Published - Apr 1 2008

Scopus Subject Areas

Computational Mathematics
Applied Mathematics

Keywords

Dulac criterion
Hardy-Weinberg equation
Mutation
Polymorphism
SIS model

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10.1016/j.amc.2007.08.009

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KW - Dulac criterion

KW - Hardy-Weinberg equation

KW - Mutation

KW - Polymorphism

KW - SIS model

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Effects of genetic immunity and resistance on endemics

Abstract

Scopus Subject Areas

Keywords

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