On the global stability of the axial equilibrium for the \(n\)-dimensional Gompertz system

DOI10.1016/j.aml.2017.03.001zbMath1373.34087OpenAlexW2593456560MaRDI QIDQ2403151

Zhongli Liu

Publication date: 15 September 2017

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2017.03.001

zbMATH Keywords

extinctioncarrying simplexglobally stableGompertz system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Population dynamics (general) (92D25) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

• A history of the study of solid tumour growth: the contribution of mathematical modelling
• Geometric approach for global asymptotic stability for three species competitive Gompertz models
• Global stability of Gompertz model of three competing populations
• On the complete classification of nullcline stable competitive three-dimensional Gompertz models
• Systems of differential equations which are competitive or cooperative: III. Competing species

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