2 papers
math.DS2024
Resource-consumer dynamics in drylands: modeling the role of plant-plant facilitation-competition shifts with a piecewise system
Leonardo Pereira Costa de Cruz, Joan Torregrossa, Miguel Berdugo +1
In drylands, water availability determines plant population densities and whether they cooperate via facilitation or compete. When water scarcity intensifies, plant densities decre…
math.DS2023
On the number of limit cycles in piecewise planar quadratic differential systems
Francisco Braun, Leonardo P. C. da Cruz, Joan Torregrosa
We consider piecewise quadratic perturbations of centers of piecewise quadratic systems in two zones determined by a straight line through the origin. By means of expansions of the…