Publicación: ON THE GLOBAL DYNAMICS AND INTEGRABILITY OF THE CHEMOSTAT SYSTEM
Fecha
2020
Título de la revista
ISSN de la revista
Título del volumen
Editor
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
Resumen
WE 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.
