-
Abstract
In this paper the dynamics of a tritrophic food chain (resource,
consumer, top predator) is investigated, with particular attention
not only to equilibrium states but also to cyclic behaviours that
the system may exhibit. The analysis is performed in terms of two
bifurcation parameters, denoted by $p$ and $q$, which measure the
efficiencies of the interaction processes. The persistence of the
system is discussed, characterizing in the $(p,q)$ plane the
regions of existence and stability of biologically significant
steady states and those of existence of limit cycles. The
bifurcations occurring are discussed, and their implications with
reference to biological control problems are considered. Examples
of the rich dynamics exhibited by the model, including a chaotic
regime, are described.
Mathematics Subject Classification: 92D25, 34C23.
\begin{equation} \\ \end{equation}
-
Access History
-
{{journal.titleEn}} 
DownLoad: