Stability of a Ricker-type competition model and the competitive exclusion principle

摘要

Our main objective is to study a Ricker-type competition model of two species. We give a complete analysis of stability and bifurcation and determine the centre manifolds, as well as stable and unstable manifolds. It is shown that the autonomous Ricker competition model exhibits subcritical bifurcation, bubbles, period-doubling bifurcation, but no Neimark-Sacker bifurcations. We exhibit the region in the parameter space where the competition exclusion principle applies.View full textDownload full textKeywordsRicker competition model, periodic cycles, stability, centre manifold, stable and unstable manifolds, bifurcation, exclusion principleRelated var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/17513758.2011.581764