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Random Chemostats with Competition and Different Kinetics to Investigate the Growth of the Gut Microbiome

Mathematical Methods in the Applied Sciences, Volume 49, Issue 11, Page 12102-12115, 30 July 2026.
ABSTRACT 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 ...
Javier López‐de‐la‐Cruz, Felipe Rivero, Carlos R. Takaessu Jr. +2 more
wiley +1 more source

Strong Ergodicity in Nonhomogeneous Markov Systems with Chronological Order

Mathematics
In the present, we study the problem of strong ergodicity in nonhomogeneous Markov systems. In the first basic theorem, we relax the fundamental assumption present in all studies of asymptotic behavior.
P.-C.G. Vassiliou
doaj +1 more source

The Vegetated‐Canopy Roughness Sublayer Through a TKE‐Budget Lens

Journal of Geophysical Research: Atmospheres, Volume 131, Issue 13, 16 July 2026.
Abstract It is well understood that vegetated canopies perturb the atmospheric flow within and immediately above the canopy, deviating from the inertial sublayer (ISL) regime characteristic of non‐vegetated rough surfaces. Only above a certain height, denoted as the roughness sublayer height (RSL, z∗ ${z}_{\ast }$), do these flows return to ISL‐like ...
Giulia Salmaso, Raúl B. Cal, Marc Calaf
wiley +1 more source

Ergodic flows are strictly ergodic