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Modeling bacterial traveling wave patterns with exact cross-diffusion and population growth - MaRDI portal

Modeling bacterial traveling wave patterns with exact cross-diffusion and population growth (Q6171922)

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scientific article; zbMATH DE number 7727542

Language	Label	Description	Also known as
English	Modeling bacterial traveling wave patterns with exact cross-diffusion and population growth	scientific article; zbMATH DE number 7727542

Statements

scholarly article

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Modeling bacterial traveling wave patterns with exact cross-diffusion and population growth (English)

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Discrete and Continuous Dynamical Systems. Series B

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publication date

16 August 2023

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zbMATH Keywords

chemotaxis

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cross-diffusion

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population growth

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traveling wave pattern

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singular limit

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.3934/dcdsb.2023012

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Global well-posedness and stability of constant equilibria in parabolic–elliptic chemotaxis systems without gradient sensing

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Delayed blow‐up for chemotaxis models with local sensing

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Starvation driven diffusion as a survival strategy of biological organisms

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Spatial segregation limit of a competition-diffusion system with Dirichlet boundary conditions

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A logarithmic chemotaxis model featuring global existence and aggregation

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Singular limit for a reaction-diffusion-ODE system in a Neolithic transition model

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On the well-posedness of a dispersal model for farmers and hunter–gatherers in the Neolithic transition

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Global existence for a kinetic model of pattern formation with density-suppressed motilities

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A link between microscopic and macroscopic models of self-organized aggregation

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Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility

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Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility

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Initiation of slime mold aggregation viewed as an instability

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Model for chemotaxis

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Traveling bands of chemotactic bacteria: a theoretical analysis

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Nonlinear diffusion for bacterial traveling wave phenomenon

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Global existence for a class of chemotaxis systems with signal-dependent motility, indirect signal production and generalized logistic source

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Stationary and non-stationary patterns of the density-suppressed motility model

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Boundedness in the higher-dimensional Keller-Segel model with signal-dependent motility and logistic growth

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Can simultaneous density-determined enhancement of diffusion and cross-diffusion foster boundedness in Keller–Segel type systems involving signal-dependent motilities?

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Bacterial chemotaxis without gradient-sensing

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Global existence and aggregation in a Keller-Segel model with Fokker-Planck diffusion

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Identifiers

zbMATH Open document ID

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10.3934/dcdsb.2023012

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6171922

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