arXiv subjects

Felipe Rivero

Publications and source records attributed to Felipe Rivero.

2 recordsLinked to original sources

arXiv2026

Random chemostats with competition and different kinetics to investigate the growth of the gut microbiome

We investigate some chemostat models incorporating wall growth, competition, random fluctuations on the dilution rate, and different consumption functions (Monod and Haldane). We analyze the asymptotic behavior of the solutions of the corresponding random differential systems to establish conditions on the model parameters under which the microbes persist in the gut or disappear. Moreover, several numerical simulations are presented to support the theoretical results and illustrate their biological interpretation.

math.DS↗

arXiv2025

SIR models with demography, random transmission coefficient and non-autonomous vaccination rate

In this paper we investigate the asymptotic behavior of some SIR models incorporating demography, bounded random transmission coefficient and a time-dependent vaccination strategy targeting the susceptible population. In this setting, we establish the existence and uniqueness of non-negative global solution of the models and derive conditions under which either the disease is eradicated or becomes endemic. In addition, the theoretical results are further illustrated by several numerical simulations.

q-bio.PE↗