Global qualitative analysis of a Holling-type system

DOI10.1504/IJDSDE.2016.077263zbMath1442.37097OpenAlexW2462572130MaRDI QIDQ2289477

Valery A. Gaiko

Publication date: 23 January 2020

Published in: International Journal of Dynamical Systems and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1504/ijdsde.2016.077263

zbMATH Keywords

modellingbifurcationlimit cyclesingular pointpopulation dynamicsplanar vector fieldsbiomedical systemsecological systemsWintner-Perko termination principlefield rotation parameterHolling-type systems

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Ecology (92D40)

Related Items (4)

Limit cycles of multi-parameter polynomial dynamical systems ⋮ Global Dynamics in the Leslie–Gower Model with the Allee Effect ⋮ Bifurcation analysis of the Topp model ⋮ Unnamed Item

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