17 citations · 56 across the 11 of their papers we have counts for
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math.DS2023★ 6 cited
Critical Transitions for Asymptotically Concave or D-Concave Nonautonomous Differential Equations with Applications in Ecology
Jesús Dueñas, Carmen Núñez, Rafael Obaya
The occurrence of tracking or tipping situations for a transition equation is analyzed under the assumptions on concavity in either of the maps giving rise t…
math.DS2023★ 9 cited
Rate-induced tracking for concave or d-concave transitions in a time-dependent environment with application in ecology
Jesús Dueñas, Iacopo P. Longo, Rafael Obaya
This paper investigates biological models that represent the transition equation from a system in the past to a system in the future. It is shown that finite-time Lyapunov exponent…