We study the algebraic behavior of a three dimensional zygotic algebra in the presence of parameters 0 s 1 and 0 g 1;sfor selfing andgwhich reflects its associated inbreeding depression. We also study the dynamics of the system for which this algebra is a model. Our methods lean towards commutative algebra and algebraic geometry and find support on the computer program Macaulay2.Our results are best understood through the geometry of a rational function of the projective plane.
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