Bifurcation and invariant manifolds in competition models

Abstract

<p>We will investigate both autonomous and non autonomous periodic competition models. Our main focus is to study invariant stable, unstable, and center manifolds using analytical and numerical methods. In addition, bifurcation analysis will be presented. Finally some open problems and conjectures will be discussed.</p><p>We will investigate both autonomous and non autonomous periodic competition models. Our main focus is to study invariant stable, unstable, and center manifolds using analytical and numerical methods. In addition, bifurcation analysis will be presented. Finally some open problems and conjectures will be discussed.</p>