Stationary and oscillatory patterns in microbial population under environmental stress

Michael Chapwanya and Phindile Dumani

Mathematics and Computers in Simulation (MATCOM), 2023, vol. 210, issue C, 370-383

Abstract: This paper presents a theoretical and numerical investigation of stationary and oscillatory patterns in a spatial model of bacteria quiescence. The reaction–diffusion model consists of active and inactive microbial populations in a harsh environment accounting for the directed movement and switch of cells to dormancy at high concentration levels. We present a bifurcation analysis of the model and the interplay between Turing and Hopf instability is discussed. Numerical simulations supporting the existence of spatially homogeneous solutions, as well as stable spatial patterns and oscillatory patterns are presented.

Keywords: Stationary patterns; Oscillatory patterns; Microbial population; Environmental stress (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:210:y:2023:i:c:p:370-383

DOI: 10.1016/j.matcom.2023.03.022

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