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| dc.contributor.author | Chapwanya, Michael
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| dc.contributor.author | Dumani, Phindile
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| dc.date.accessioned | 2023-11-16T12:16:04Z | |
| dc.date.issued | 2023-11 | |
| dc.description | DATA AVAILABILITY : No data was used for the research described in the article. | en_US |
| dc.description.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. | en_US |
| dc.description.department | Mathematics and Applied Mathematics | en_US |
| dc.description.embargo | 2025-06-01 | |
| dc.description.librarian | hj2023 | en_US |
| dc.description.sdg | SDG-15:Life on land | en_US |
| dc.description.uri | http://www.elsevier.com/locate/amc | en_US |
| dc.identifier.citation | Chapwanya, M. & Dumani, P. 2023, 'Spatio-temporal dynamics of microbial population under nutrient-limiting conditions', Applied Mathematics and Computation, vol. 456, art. 128138, pp. 1-17, doi : 10.1016/j.amc.2023.128138. | en_US |
| dc.identifier.issn | 0096-3003 (print) | |
| dc.identifier.issn | 1873-5649 (online) | |
| dc.identifier.other | 10.1016/j.amc.2023.128138 | |
| dc.identifier.uri | http://hdl.handle.net/2263/93327 | |
| dc.language.iso | en | en_US |
| dc.publisher | Elsevier | en_US |
| dc.rights | © 2023 Elsevier Ltd. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Applied Mathematics and Computation. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Applied Mathematics and Computation, vol. 456, art. 128138, pp. 1-17, doi : 10.1016/j.amc.2023.128138. | en_US |
| dc.subject | Microbial quiescence | en_US |
| dc.subject | Bacterioplankton | en_US |
| dc.subject | Traveling waves | en_US |
| dc.subject | Nonstandard finite difference method | en_US |
| dc.subject | SDG-15: Life on land | en_US |
| dc.title | Spatio-temporal dynamics of microbial population under nutrient-limiting conditions | en_US |
| dc.type | Postprint Article | en_US |
