The heteroclinic cycle in the model of competition between \(n\) species and its stability

DOI10.1007/BF02683825zbMath1057.92507OpenAlexW1566666198MaRDI QIDQ1299849

Bei-ye Feng

Publication date: 1998

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02683825

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Homoclinic and heteroclinic orbits for dynamical systems (37C29) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (6)

Non-existence of Shilnikov chaos in continuous-time systems ⋮ Multistability in the cyclic competition system ⋮ Asymptotic stability of robust heteroclinic networks ⋮ Measuring nonequilibrium stability and resilience in an \(n\)-competitor system ⋮ Heteroclinic Trajectory and Hopf Bifurcation in an Extended Lorenz System ⋮ On heteroclinic cycles of competitive maps via carrying simplices

Cites Work

• On the stabilizing effect of predators and competitors on ecological communities
• The stability of a heteroclinic cycle for the critical case
• Nonlinear Aspects of Competition Between Three Species
• Unnamed Item

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