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Non-autonomous periodic systems with Allee effects
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Orientador(es)
Resumo(s)
A new class of maps called unimodal Allee maps are introduced. Such maps arise in the
study of population dynamics in which the population goes extinct if its size falls below
a threshold value. A unimodal Allee map is thus a unimodal map with three fixed
points, a zero fixed point, a small positive fixed point, called threshold point, and a
bigger positive fixed point, called the carrying capacity. In this paper, the properties
and stability of the three fixed points are studied in the setting of non-autonomous
periodic dynamical systems or difference equations. Finally, we investigate the
bifurcation of periodic systems/difference equations when the system consists of two
unimodal Allee maps.
Descrição
Palavras-chave
Unimodal Allee maps Threshold point Carrying capacity Composition map Stability Bifurcation . Faculdade de Ciências Exatas e da Engenharia
Contexto Educativo
Citação
Luis, R., Elaydi, S., & Oliveira, H. (2010). Non-autonomous periodic systems with Allee effects. Journal of Difference Equations and Applications, 16(10), 1179-1196. https://doi.org/10.1080/10236190902794951
Editora
Taylor and Francis