3 papers
math.DS2026
Global dynamics and regime shifts in a resource-consumer model with facilitation and habitat loss
Teodoro Mayayo, Josep Sardanyés, Joan Torregrosa
Modelling how populations respond to habitat loss is crucial for understanding ecosystem stability, especially when positive interactions among resource species, such as plant-plan…
math.DS2025
Local and Global Analysis of the Displacement Map Some Near Integrable Systems
Francisco Braun, Leonardo da Cruz, Joan Torregrosa
In this paper, we introduce an alternative method for applying averaging theory of orders and in the plane. This is done by combining Taylor expansions of the displacement…
math.DS2025
Limit Cycles in Piecewise Quadratic Kolmogorov Systems
Leonardo Da Cruz, Regilene Oliveira, Joan Torregrosa
We study planar piecewise quadratic differential systems of Kolmogorov type. Specifically, we consider systems with both coordinate axes invariant and with a separation line that i…