RT Journal Article
T1 Global structure of subharmonics in a class of periodic predator-prey models
A1 López Gómez, Julián
A1 Muñoz Hernández, Eduardo
AB This paper ascertains the global topological structure of the set of subharmonics of arbitrary order of the periodic predator-prey model introduced in López-Gómez et al (1996 Adv. Differ. Equ. 1 403–23). By constructing the iterates of the monodromy operator of the system, it is shown that the system admits subharmonics of all orders for the appropriate ranges of values of the parameters. Then, some sharp results of topological nature in the context of global bifurcation theory provide us with the fine topological structure of the components of subharmonics emanating from the T-periodic coexistence state.
PB IOP
SN 0951-7715
YR 2019
FD 2019
LK https://hdl.handle.net/20.500.14352/93458
UL https://hdl.handle.net/20.500.14352/93458
LA eng
NO J. López-Gómez, E. Muñoz-Hernández, Global structure of subharmonics in a class of periodic predator-prey models, Nonlinearity 33 (2020) 34–71. https://doi.org/10.1088/1361-6544/ab49e1.
NO Ministerio de Ciencia, Innovación y Universidades (España)
DS Docta Complutense
RD 12 abr 2025