Zero‐Hopf bifurcation in the Volterra‐Gause system of predator‐prey type
Copyright policy )Zero‐Hopf bifurcation in the Volterra‐Gause system of predator‐prey type
We prove that the Volterra‐Gause system of predator‐prey type exhibits 2 kinds of zero‐Hopf bifurcations for convenient values of their parameters. In the first, 1 periodic solution bifurcates from a zero‐Hopf equilibrium, and in the second, 4 periodic solutions bifurcate from another zero‐Hopf equilibrium. This study is done using the averaging theory of second order.
Bifurcation theory for ordinary differential equations, Bifurcations of singular points in dynamical systems, predator-prey system, Periodic solutions to ordinary differential equations, Volterra-Gause system, periodic orbits, zero-Hopf bifurcation
Bifurcation theory for ordinary differential equations, Bifurcations of singular points in dynamical systems, predator-prey system, Periodic solutions to ordinary differential equations, Volterra-Gause system, periodic orbits, zero-Hopf bifurcation
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).7 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!