activity
20242026
most citedA way to model stochastic perturbations in population dynamics models with bounded realizations

31 citations · 56 across the 5 of their papers we have counts for

collaborators

5 papers

math.DS2026

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

Javier López-de-la-Cruz, Felipe Rivero, Carlos R. Takaessu

We investigate some chemostat models incorporating wall growth, competition, random fluctuations on the dilution rate, and different consumption functions (Monod and Haldane). We a…

q-bio.PE2025

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

Javier López-de-la-Cruz, Susana Merchán, Felipe Rivero +1

In this paper we investigate the asymptotic behavior of some SIR models incorporating demography, bounded random transmission coefficient and a time-dependent vaccination strategy…

math.DS202415 cited

Random and stochastic disturbances on the input flow in chemostat models with wall growth

Javier López-de-la-Cruz

In this paper we analyze a chemostat model with wall growth where the input flow is affected by two different stochastic processes: the well-known standard Wiener process, which le…

q-bio.PE202410 cited

Dynamics and numerical simulations to predict empirical antibiotic treatment of multi-resistant Pseudomonas aeruginosa infection

Javier López-de-la-Cruz, María Pérez-Aranda, Ana Alcudia +4

This work discloses an epidemiological mathematical model to predict an empirical treatment for dogs infected by Pseudomonas aeruginosa. This dangerous pathogen is one of the leadi…

math.DS202431 cited

A way to model stochastic perturbations in population dynamics models with bounded realizations

Tomás Caraballo, Renato Colucci, Javier López-de-la-Cruz +1

In this paper, we analyze the use of the Ornstein-Uhlenbeck process to model dynamical systems subjected to bounded noisy perturbations. In order to discuss the main characteristic…