Sardanyés Cayuela, JosepMiguel López, María del CarmenSastre Jachimska, Cristina2021-10-292021-10-292021-07https://hdl.handle.net/2445/180908Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2021, Tutors: Josep Sardanyés, M. Carmen de MiguelHypercycles are cyclic catalytic systems formed by replicating species, conceived in the 1970’s as a solution to the so-called information crisis or Eigen’s paradox. So far, hypercycles have considered only cooperation, together with the emergence of so-called catalytic short-circuits and parasites. More recently, the impact of functional shifts (the change from cooperation to degradation or predation by one of the species) has been investigated in both discrete- and continuous-time systems. These previous models, however, included these shifts in an implicit manner, assuming that some species or a given fraction of them changed cooperation. Here a simple model for a two-species hypercycle is proposed, in which one of the species explicitly produces a degrader phenotype due to mutational processes, where the effects of cleavage and predation have been studied. We have identified a saddle-node bifurcation separating coexistence from co-extinctions, involving bistable dynamics before the bifurcation occurs. Although the effects of predation have been found to be damaging, cleavage turns out to be, to some extent, beneficial5 p.application/pdfengcc-by-nc-nd (c) Sastre, 2021http://creativecommons.org/licenses/by-nc-nd/3.0/es/HiperciclesSistemes dinàmics diferenciablesTreballs de fi de grauHypercyclesDifferentiable dynamical systemsBachelor's thesesinfo:eu-repo/semantics/bachelorThesisinfo:eu-repo/semantics/openAccess