| The gene-for-gene hypothesis is a fundamental tool in theoretical plant pathology.;In this dissertation, deterministic, discrete-time, genetics models for a resistant plant host and a virulent pathogen are developed and analyzed. These models are variations on a theme originally presented by Leonard in 1977. This model is generalized to populations with other ploidies and incomplete genetic dominance. In addition, a model with multiple genes is presented, mutation is added, and time is made continuous.;Finally, a model that is based on populations, instead of gene frequencies, is presented and analyzed. |
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