Abstract
Random mutation and natural selection occur in a variety of different
environments. Three of the most important factors which govern the rate
at which this phenomenon occurs is whether there is competition between
the different variants for the resources of the environment or not
whether the replicator can do #recombination and whether the intensity of
selection has an impact on the evolutionary trajectory. Two different
experimental models of random mutation and natural selection are
analyzed to determine the impact of competition on random mutation and
natural selection. One experiment places the different variants in
competition for the resources of the environment while the lineages are
attempting to evolve to the selection pressure while the other
experiment allows the lineages to grow without intense competition for
the resources of the #environment while the different lineages are
attempting to evolve to the selection pressure. The mathematics which
governs either experiment is discussed, and the results correlated to
the medical problem of the evolution of drug resistance.
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