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Title: | Dynamics of emerging functional shifts in cooperative systems |
Author: | Sastre Jachimska, Cristina |
Director/Tutor: | Sardanyés Cayuela, Josep Miguel López, María del Carmen |
Keywords: | Hipercicles Sistemes dinàmics diferenciables Treballs de fi de grau Hypercycles Differentiable dynamical systems Bachelor's theses |
Issue Date: | Jul-2021 |
Abstract: | Hypercycles 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, beneficial |
Note: | Treballs Finals de Grau de Física, Facultat de Física, Universitat de Barcelona, Curs: 2021, Tutors: Josep Sardanyés, M. Carmen de Miguel |
URI: | http://hdl.handle.net/2445/180908 |
Appears in Collections: | Treballs Finals de Grau (TFG) - Física |
Files in This Item:
File | Description | Size | Format | |
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SASTRE JACHIMSKA CRISTINA_4253616_assignsubmission_file_TFG-Sastre-Jachimska-Cristina.pdf | 2.22 MB | Adobe PDF | View/Open |
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