RT info:eu-repo/semantics/article
T1 Global bifurcation diagrams for coercive third-degree polynomial ordinary differential equations with recurrent nonautonomous coefficients
A1 Elia, Cinzia
A1 Fabbri, Roberta
A1 Núñez Jiménez, María del Carmen
K1 Nonautonomous dynamical systems
K1 Nonautonomous bifurcation theory
K1 Critical transitions
K1 Population models
K1 12 Matemáticas
AB Nonautonomous bifurcation theory is a growing branch of mathematics, for the insight it provides intoradical changes in the global dynamics of realistic models for many real-world phenomena, i.e., into the oc-currence of critical transitions. This paper describes several global bifurcation diagrams for nonautonomousfirst order scalar ordinary differential equations generated by coercive third degree polynomials in the statevariable. The conclusions are applied to a population dynamics model subject to an Allee effect that is weakin the absence of migration and becomes strong under a migratory phenomenon whose sense and intensitydepend on a threshold in the number of individuals in the population.
PB Elsevier
SN 0022-0396
YR 2025
FD 2025
LK https://uvadoc.uva.es/handle/10324/76030
UL https://uvadoc.uva.es/handle/10324/76030
LA eng
NO Journal of Differential Equations, 2025, vol. 435, p.113315
NO Producción Científica
DS UVaDOC
RD 21-jun-2025