Analytical solutions for distributions of chemotactic bacteria

DOI10.1007/BF02460053zbMath0562.92014OpenAlexW4238505813MaRDI QIDQ1057209

Gerald Rosen

Publication date: 1983

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02460053

zbMATH Keywords

Robin boundary conditionmotilitychemotactic flux coefficientclosed-form exact steady-state solutionsconsumption rate functiongrowth of the bacterial populationmotility functionPoisson-Green functionsteadily propagating plane - wave solutionssteady-state distributions of chemotactic bacteriasubstrate diffusivity

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05) Representations of solutions to partial differential equations (35C99)

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Formation of stationary demarcation zones between population autowaves propagating towards each other, Modeling population patterns of chemotactic bacteria in homogeneous porous media, Commensalism of methane-producing and motile aerobic bacteria in certain freshwater wetlands, Stability of spatially heterogeneous steady-state distributions of oxygen-chemotactic aerobic/anaerobic bacteria

Cites Work

• Traveling bands of chemotactic bacteria in the context of population growth
• Traveling bands of chemotactic bacteria: a theoretical analysis
• Steady-state distribution of bacteria chemotactic toward oxygen
• Theoretical significance of the condition \(\delta=2\mu\) in bacterial chemotaxis
• Elliptic boundary value problems suggested by nonlinear diffusion processes