Title: Global qualitative analysis of a Holling-type system

Authors: Valery A. Gaiko

Addresses: National Academy of Sciences of Belarus, United Institute of Informatics Problems, Belarus

Abstract: We complete the global qualitative analysis of a quartic family of planar vector fields corresponding to a rational Holling-type dynamical system, which models the dynamics of the populations of predators and their prey in a given ecological or biomedical system.

Keywords: bifurcation; field rotation parameter; Holling-type systems; dynamical systems; limit cycle; singular point; Wintner-Perko termination principle; planar vector fields; modelling; population dynamics; predators; prey; ecological systems; biomedical systems.

DOI: 10.1504/IJDSDE.2016.077263

International Journal of Dynamical Systems and Differential Equations, 2016 Vol.6 No.2, pp.161 - 172

Received: 31 Jul 2015
Accepted: 19 Nov 2015

Published online: 21 Jun 2016 *

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