Sergio Rinaldi

TL;DR: In this article, the authors define and define conditions of positivity of equilibria, including reachability and observability, and define a set of conditions for positive equilibrium. But they do not define the conditions of transparency.

TL;DR: An overview of all codim 1 bifurcations in generic planar discontinuous piecewise smooth autonomous systems, here called Filippov systems, and a defining system is proposed that can be used to numerically compute the corresponding bIfurcation curve with standard continuation techniques.

TL;DR: This paper analyzes patterns of cyanobacterial dominance observed in the field and shows that these patterns imply that the algal community is a hysteretic system with two alternative equilibria, and constructs a simple competition model to show that hysteresis should in fact be expected from differences in physiology between cyanobacteria and algae.

TL;DR: It is demonstrated that floating-plant dominance can be a self-stabilizing ecosystem state, which may explain its notorious persistence in many situations and suggest that nutrient enrichment reduces the resilience of freshwater systems against a shift to floating- plant dominance.

TL;DR: It is shown that asymmetrical competition within species for the commodities offered by mutualistic partners provides a simple and testable ecological mechanism that can account for the long–term persistence of mutualisms.