Periodic orbits near heteroclinic cycles in a cyclic replicator system

DOI10.1007/s00285-011-0435-3zbMath1259.34039OpenAlexW1998620480WikidataQ51559985 ScholiaQ51559985MaRDI QIDQ455718

Yuanshi Wang, Shigui Ruan, Hong Wu

Publication date: 22 October 2012

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-011-0435-3

zbMATH Keywords

periodic orbitheteroclinic cyclereplicator equationaverage competitive degreesemelparous population

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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