3 papers
q-bio.PE2026
Effect of antibiotic spectrum on the abundance of resistant bacteria in multispecies communities
Magnus Aspenberg, Erik Andreas Martens, Kristofer Wollein Waldetoft
Antibiotic resistance is a major threat to global health. It emerges in multispecies microbial communities under antibiotic exposure. This makes antibiotic spectrum -- a drug's dis…
q-bio.PE2026
Stable equilibria in the Lotka-Volterra equations
Magnus Aspenberg, Erik Martens, Kristofer Wollein Waldetoft
We consider the Lotka-Volterra system and provide necessary conditions for an equilibrium to be stable. Our results naturally complement earlier fundamental results by N. Adachi, Y…
math.DS2025
Collet-Eckmann maps in the unicritical family
Magnus Aspenberg, Mats Bylund, Weiwei Cui
In this paper we study perturbations of complex unicritical polynomials satisfying the Collet-Eckmann condition. We show that Collet-Eckmann parameters are Lebesgue density points…