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Stationary and oscillatory patterns in microbial population under environmental stress

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  • Chapwanya, Michael
  • Dumani, Phindile

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.

Suggested Citation

  • Chapwanya, Michael & Dumani, Phindile, 2023. "Stationary and oscillatory patterns in microbial population under environmental stress," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 210(C), pages 370-383.
    • Handle: RePEc:eee:matcom:v:210:y:2023:i:c:p:370-383
    DOI: 10.1016/j.matcom.2023.03.022
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    References listed on IDEAS

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    1. Mimura, Masayasu & Sakaguchi, Hideo & Matsushita, Mitsugu, 2000. "Reaction–diffusion modelling of bacterial colony patterns," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 282(1), pages 283-303.
    2. 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.
    3. Anguelov, Roumen & Stoltz, Stephanus Marnus, 2017. "Stationary and oscillatory patterns in a coupled Brusselator model," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 133(C), pages 39-46.
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