Spatio-temporal dynamics of microbial population under nutrient-limiting conditions

The physiological structure of microbial communities in natural environments is typically a response to changes in internal and external conditions. External conditions may include the availability of nutrients, and the presence of inhibiting or toxic substances while inter-nal conditions may include cell to cell interactions. In this paper, we present and investi-gate a spatio-temporal bacterioplankton-nutrient interaction model that takes into account the quiescent stage. First, we investigate the temporal submodel to establish conditions under which microbial population oscillations may occur. Furthermore, we establish the existence of traveling wavefronts for the proposed reaction-diffusion model. A qualitative study of the proposed numerical scheme is presented and simulations are provided to sup-port our theoretical results. & COPY; 2023 Elsevier Inc. All rights reserved.

Automated summary

This paper investigates the physiological structure of microbial communities in natural environments, which is typically a response to changes in internal and external conditions. The study includes a spatio-temporal bacterioplankton-nutrient interaction model that considers the quiescent stage. The paper explores the conditions for microbial population oscillations and the existence of traveling wavefronts in the proposed reaction-diffusion model, supported by qualitative analysis and simulations.