On the global dynamics and integrability of the chemostat system
DOI10.1016/j.nonrwa.2019.103051zbMath1440.34048OpenAlexW2990831174MaRDI QIDQ2289741
Claudia Valls, Y. Paulina Martínez
Publication date: 24 January 2020
Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2072/445757
phase portraitsDarboux polynomialsPuiseux seriesinvariant algebraic curvesLiouvillian first integralschemostat systems
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Nonlinear ordinary differential equations and systems (34A34) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global stability for a model of competition in the chemostat with microbial inputs
- Local first integrals of differential systems and diffeomorphisms
- Meromorphic solutions in the Fitzhugh-Nagumo model
- Invariant algebraic curves for Liénard dynamical systems revisited
- On non-integrability of general systems of differential equations
- A competitive model in a chemostat with nutrient recycling and antibiotic treatment
- Reduced order dead-beat observers for the chemostat
- Novel algebraic aspects of Liouvillian integrability for two-dimensional polynomial dynamical systems
- Qualitative theory of planar differential systems
- Chemostats with random inputs and wall growth
- Microbial Competition
- Liouvillian First Integrals of Differential Equations
- Classification of Continuous Flows on 2-Manifolds
- The Theory of the Chemostat
- Global Structure of Ordinary Differential Equations in the Plane
This page was built for publication: On the global dynamics and integrability of the chemostat system
