Geometry of the Poincaré compactification of a four-dimensional food-web system

DOI10.1016/j.amc.2013.10.067zbMath1354.37048OpenAlexW2059875608MaRDI QIDQ505743

Sandip Banerjee, Sunita Gakkhar, Anupam Priyadarshi

Publication date: 26 January 2017

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.10.067

zbMATH Keywords

boundednessglobal dynamicsPoincaré compactification

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (1)

Poincaré compactification for non-polynomial vector fields

Cites Work

• A generalization of the Poincaré compactification
• The classification on the global phase portraits of two-dimensional Lotka-Volterra system
• Global stability of a difference equation with maximum
• Global phase portraits of a SIS model
• Qualitative theory of planar differential systems
• Complex behaviour in four species food-web model
• Bounded Polynomial Vector Fields
• Generic Properties of Polynomial Vector Fields at Infinity
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