Red Queen Dynamics, Competition and Critical Points in a Model of RNA Virus Quasispecies

Recent experiments involving competition of clonal populations of RNA viruses have shown that competition among virus strains of approximately equal relative fitness can result in the eventual competitive exclusion of one of the species. As competition proceeds in time, both the winers and the losers exhibited absolute gains in fitness, consistent with the "Red Queen" hypothesis of evolution. Further experiments involving closely related evolving quasispecies revealed a highly predictable nonlinear behavior suggesting a deteerministic component in the underlying quasispecies dynamics. In this paper we present a simple model of RNA virus populations which allows previous hypothesis to be tested and provides an interpretation for the observed experimental results.