THE DYNAMICAL BEHAVIOR ON THE CARRYING SIMPLEX OF A THREE-DIMENSIONAL COMPETITIVE SYSTEM: II. HYPERBOLIC STRUCTURE SATURATION

DOI10.1142/S1793524514500028zbMath1302.34069WikidataQ62125460 ScholiaQ62125460MaRDI QIDQ2922080

Lei Niu, Ji-Fa Jiang

Publication date: 9 October 2014

Published in: International Journal of Biomathematics (Search for Journal in Brave)

zbMATH Keywords

classificationHopf bifurcationperiodic orbitcompetitive systemcarrying simplexdynamical behaviorinvariant surface

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Invariant manifolds for ordinary differential equations (34C45) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items

Convex geometry of the carrying simplex for the May-Leonard map, On global dynamics of type-K competitive Kolmogorov differential systems, On existence and uniqueness of a carrying simplex in Kolmogorov differential systems

Cites Work

• Stability by Liapunov's direct method. With applications
• Unnamed Item
• Unnamed Item
• Unnamed Item