PERSISTENCE AND PERMANENCE OF MASS-ACTION AND POWER-LAW DYNAMICAL SYSTEMS

• Published in: SIAM journal on applied mathematics Vol. 73; no. 1; pp. 305 - 329
• Main Authors: CRACIUN, GHEORGHE, NAZAROV, FEDOR, PANTEA, CASIAN
• Format: Journal Article
• Language: English
• Published: Philadelphia Society for Industrial and Applied Mathematics 01.01.2013
• Subjects: Applied mathematics; Biochemistry; Biology; Boundaries; Chemical reactions; Coordinate systems; Dynamical systems; Dynamics; Equilibrium; Kinetics; Mathematical analysis; Network access lines; Networks; Nonlinear dynamics; Nonlinearity; Permanence; Polygons; Trajectories; Vertices

Persistence and permanence are properties of dynamical systems that describe the long-term behavior of the solutions and in particular specify whether positive solutions approach the boundary of the positive orthant. Mass-action systems (or more generally power-law systems) are very common in chemis...