caa a22 4500 445330457 CHVBK 20180317142735.0 cr unu---uuuuu 170323e20110501xx s 000 0 eng 10.1007/s00285-010-0352-x doi (NATIONALLICENCE)springer-10.1007/s00285-010-0352-x Bistability in two-locus models with selection, mutation, and recombination [Elektronische Daten] [Su-Chan Park, Joachim Krug] The evolutionary effect of recombination depends crucially on the epistatic interactions between linked loci. A paradigmatic case where recombination is known to be strongly disadvantageous is a two-locus fitness landscape displaying reciprocal sign epistasis with two fitness peaks of unequal height. Although this type of model has been studied since the 1960s, a full analytic understanding of the stationary states of mutation-selection balance was not achieved so far. Focusing on the bistability arising due to the recombination, we consider here the deterministic, haploid two-locus model with reversible mutations, selection and recombination. We find analytic formulae for the critical recombination probability r c above which two stable stationary solutions appear which are localized on each of the two fitness peaks. We also derive the stationary genotype frequencies in various parameter regimes. In particular, when the recombination rate is close to r c and the fitness difference between the two peaks is small, we obtain a compact description in terms of a cubic polynomial which is analogous to the Landau theory of physical phase transitions. Springer-Verlag, 2010 Evolution of recombination nationallicence Reciprocal sign epistasis nationallicence Bistability nationallicence Landau theory nationallicence Park Su-Chan Department of Physics, The Catholic University of Korea, 420-743, Bucheon, Korea aut Krug Joachim Institut für Theoretische Physik, Universität zu Köln, 50937, Köln, Germany aut Journal of Mathematical Biology Springer-Verlag 62/5(2011-05-01), 763-788 0303-6812 62:5<763 2011 62 285 https://doi.org/10.1007/s00285-010-0352-x text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s00285-010-0352-x text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Park Su-Chan Department of Physics, The Catholic University of Korea, 420-743, Bucheon, Korea aut NATIONALLICENCE 700 1- Krug Joachim Institut für Theoretische Physik, Universität zu Köln, 50937, Köln, Germany aut NATIONALLICENCE 773 0- Journal of Mathematical Biology Springer-Verlag 62/5(2011-05-01), 763-788 0303-6812 62:5<763 2011 62 285 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer