Two-parameter bifurcations in LPA model

. 2017 Nov ; 75 (5) : 1235-1251. [epub] 20170310

Jazyk angličtina Země Německo Médium print-electronic

Typ dokumentu časopisecké články

Perzistentní odkaz   https://www.medvik.cz/link/pmid28283740
Odkazy

PubMed 28283740
DOI 10.1007/s00285-017-1115-8
PII: 10.1007/s00285-017-1115-8
Knihovny.cz E-zdroje

The structured population LPA model is studied. The model describes flour beetle (Tribolium) population dynamics of four stage populations: eggs, larvae, pupae and adults with cannibalism between these stages. We concentrate on the case of non-zero cannibalistic rates of adults on eggs and adults on pupae and no cannibalism of larvae on eggs, but the results can be numerically continued to non-zero cannibalism of larvae on eggs. In this article two-parameter bifurcations in LPA model are analysed. Various stable and unstable invariant sets are found, different types of hysteresis are presented and abrupt changes in dynamics are simulated to explain the complicated way the system behaves near two-parameter bifurcation manifolds. The connections between strong 1:2 resonance and Chenciner bifurcations are presented as well as their very significant consequences to the dynamics of the Tribolium population. The hysteresis phenomena described is a generic phenomenon nearby the Chenciner bifurcation or the cusp bifurcation of the loop.

Zobrazit více v PubMed

Ecol Lett. 2008 Jun;11(6):576-87 PubMed

Nature. 2008 Jul 3;454(7200):100-3 PubMed

Science. 1997 Jan 17;275(5298):389-91 PubMed

J Theor Biol. 1998 Sep 7;194(1):1-9 PubMed

Najít záznam

Citační ukazatele

Nahrávání dat ...

Možnosti archivace

Nahrávání dat ...