RT Conference Proceedings
T1 Subharmonics in a class of planar periodic predator-prey models
A1 Muñoz Hernández, Eduardo
A2 Alberto Espuny Díaz, Elena López-Navarro, Ana Navarro-Quiles
AB This contribution studies the existence of positive subharmonics ofarbitrary order in the planar periodic Volterra predator-prey model. When themodel isnon-degenerate, in the sense that the birth rate of the prey intersects thesupport of the death rate of the predator, as in [8], then the existence of positivesubharmonics can be derived from the Poincaré–Birkhoff theorem version [3].Nevertheless, in thedegeneratecase when these supports do not intersect, then,the Poincaré–Birkhoff theorem fails in general. Still in these degenerate situations,the techniques of [7] provide us with the existence of positive subharmonics ofarbitrary order.
YR 2021
FD 2021
LK https://hdl.handle.net/20.500.14352/134611
UL https://hdl.handle.net/20.500.14352/134611
LA eng
NO Muñoz-Hernández, Eduardo. «Subharmonics in a class of planar periodic predator-prey models». En: TEMat monográficos, 2 (2021): Proceedings of the 3rd BYMAT Conference, págs. 31-34.
DS Docta Complutense
RD 30 abr 2026