Publicación:
ON THE GLOBAL DYNAMICS AND INTEGRABILITY OF THE CHEMOSTAT SYSTEM

dc.creatorYOHANNA PAULINA MANCILLA MARTÍNEZ
dc.date2020
dc.date.accessioned2025-01-10T15:14:34Z
dc.date.available2025-01-10T15:14:34Z
dc.date.issued2020
dc.description.abstractWE STUDY A CHEMOSTAT SYSTEM OF THE FORM (X) OVER DOT = -QX + (R) OVER TILDE /K + Y XY, (Y) OVER DOT = ((C) OVER TILDE - Y)Q - (R) OVER TILDE/(A) OVER TILDE (K + Y) XY, WHERE Q > 0, (R) OVER TILDE > 0, K > 0, (C) OVER TILDE > 0 AND (A) OVER TILDE NOT EQUAL 0. THIS SYSTEM APPEARS IN COMPETITION MODELLING IN BIOLOGY. WE DESCRIBE ITS GLOBAL DYNAMICS ON THE POINCARE DISC AND STUDY ITS LIOUVILLIAN INTEGRABILITY. FOR THE FIRST TOPIC WE USE THE WELL-KNOWN POINCARE COMPACTIFICATION THEORY AND FOR THE SECOND ONE WE MAKE USE OF THE PUISEUX SERIES TO DERIVE THE STRUCTURE OF ALL THE IRREDUCIBLE INVARIANT ALGEBRAIC CURVES. (C) 2019 ELSEVIER LTD. ALL RIGHTS RESERVED.
dc.formatapplication/pdf
dc.identifier.doi10.1016/j.nonrwa.2019.103051
dc.identifier.issn1468-1218
dc.identifier.urihttps://repositorio.ubiobio.cl/handle/123456789/11087
dc.languagespa
dc.publisherNONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
dc.relation.uri10.1016/j.nonrwa.2019.103051
dc.rightsPUBLICADA
dc.titleON THE GLOBAL DYNAMICS AND INTEGRABILITY OF THE CHEMOSTAT SYSTEM
dc.title.alternativeSOBRE LA DINÁMICA GLOBAL Y LA INTEGRABILIDAD DEL SISTEMA CHEMOSTAT
dc.typeARTÍCULO
dspace.entity.typePublication
ubb.EstadoPUBLICADA
ubb.Otra ReparticionDEPARTAMENTO DE MATEMATICA
ubb.SedeCONCEPCIÓN
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