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

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  • Chapwanya, Michael
  • Dumani, Phindile

Abstract

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 internal conditions may include cell to cell interactions. In this paper, we present and investigate 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 support our theoretical results.

Suggested Citation

  • Chapwanya, Michael & Dumani, Phindile, 2023. "Spatio-temporal dynamics of microbial population under nutrient-limiting conditions," Applied Mathematics and Computation, Elsevier, vol. 456(C).
    • Handle: RePEc:eee:apmaco:v:456:y:2023:i:c:s0096300323003077
    DOI: 10.1016/j.amc.2023.128138
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    References listed on IDEAS

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    1. Campillo, F. & Lobry, C., 2012. "Effect of population size in a predator–prey model," Ecological Modelling, Elsevier, vol. 246(C), pages 1-10.
    2. Stolpovsky, Konstantin & Martinez-Lavanchy, Paula & Heipieper, Hermann J. & Van Cappellen, Philippe & Thullner, Martin, 2011. "Incorporating dormancy in dynamic microbial community models," Ecological Modelling, Elsevier, vol. 222(17), pages 3092-3102.
    3. Fowler, A.C. & Winstanley, H.F., 2018. "Microbial dormancy and boom-and-bust population dynamics under starvation stress," Theoretical Population Biology, Elsevier, vol. 120(C), pages 114-120.
    Full references (including those not matched with items on IDEAS)

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