Blowout bifurcation with non-normal parameters in population dynamics.
Interesting dynamic behaviors have been associated with the transverse stability of an invariant subspace (e.g., riddled basins or on-off intermittency). Recently, these complex behaviors have been generalized to cases of models with non-normal parameters showing that these behaviors might be widespread. In this Brief Report I demonstrate this type of complex dynamics in models of interacting populations for which the invariant subspace is defined by species extinction. In the context of the current biodiversity crisis, implications of these behaviors for population biology are discussed.
Cazelles
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B
CNRS UMR 7625, Université Pierre et Marie Curie, Quai Saint Bernard, Case 237, 75252 Paris, France. bcazelle@snv.jussieu.fr