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Stability of spatially heterogeneous steady-state distributions of oxygen-chemotactic aerobic/anaerobic bacteria

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Abstract

Alternative sufficient conditions are derived that guarantee the stability of spatially heterogenous steady-state distributions of motile aerobic bacterial populations attracted chemotactically by oxygen, motile anaerobic populations repelled by oxygen, and the oxygen concentration itself through a stationary aqueous medium. In particular, it follows from the latter criteria that the heterogeneous steady-state distributions for cylindrical regions with arbitrary cross-sections, uniform depth and mixed Dirichlet-Neumann boundary conditions on the oxygen concentration (appropriate to certain still-water bodies in nature) are stable with respect to arbitrary perturbations in the bacteria cell and the oxygen distributions.

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Authors and Affiliations

  1. Department of Physics, Drexel University, 19104, Philadelphia, PA, USA

    Gerald Rosen

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  1. Gerald Rosen
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Rosen, G. Stability of spatially heterogeneous steady-state distributions of oxygen-chemotactic aerobic/anaerobic bacteria. Bltn Mathcal Biology 46, 235–246 (1984). https://doi.org/10.1007/BF02460072

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  • DOI: https://doi.org/10.1007/BF02460072

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