Stabilization in two-species chemotaxis systems with singular sensitivity and Lotka-Volterra competitive kinetics (Q6195929)

scientific article; zbMATH DE number 7818409

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English	Stabilization in two-species chemotaxis systems with singular sensitivity and Lotka-Volterra competitive kinetics	scientific article; zbMATH DE number 7818409

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instance of

scholarly article

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title

Stabilization in two-species chemotaxis systems with singular sensitivity and Lotka-Volterra competitive kinetics (English)

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Discrete and Continuous Dynamical Systems

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publication date

14 March 2024

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full work available at URL

https://arxiv.org/abs/2404.03158

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zbMATH Keywords

parabolic-parabolic-elliptic chemotaxis system

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singular sensitivity

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Lotka-Volterra competitive kinetics

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positive equilibrium

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stabilization

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MaRDI profile type

MaRDI publication profile

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cites work

Q3027518

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Equilibration in a fully parabolic two-species chemotaxis system with competitive kinetics

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Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues

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Q4254459

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Global generalized solutions to a parabolic-elliptic Keller-Segel system with singular sensitivity

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On the weakly competitive case in a two-species chemotaxis model

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Asymptotic behavior of solutions to two-dimensional chemotaxis system with logistic source and singular sensitivity

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Global existence and boundedness in a parabolic-elliptic Keller-Segel system with general sensitivity

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Blow-up prevention by logistic sources in a parabolic-elliptic Keller-Segel system with singular sensitivity

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Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity

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A user's guide to PDE models for chemotaxis

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From 1970 until present: The Keller-Segel model in chemotaxis and its consequences. I

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Generalizing the Keller-Segel model: Lyapunov functionals, steady state analysis, and blow-up results for multi-species chemotaxis models in the presence of attraction and repulsion between competitive interacting species

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Boundedness vs. blow-up in a chemotaxis system

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Asymptotic dynamics in a two-species chemotaxis model with non-local terms

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Dynamics in Chemotaxis Models of Parabolic-Elliptic Type on Bounded Domain with Time and Space Dependent Logistic Sources

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Uniqueness and stability of coexistence states in two species models with/without chemotaxis on bounded heterogeneous environments

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Persistence, coexistence and extinction in two species chemotaxis models on bounded heterogeneous environments

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Initiation of slime mold aggregation viewed as an instability

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Traveling bands of chemotactic bacteria: a theoretical analysis

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Finite-Time Blow-Up Prevention by Logistic Source in Parabolic-Elliptic Chemotaxis Models with Singular Sensitivity in Any Dimensional Setting

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Chemotaxis systems with singular sensitivity and logistic source: boundedness, persistence, absorbing set, and entire solutions

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Two-species chemotaxis-competition system with singular sensitivity: global existence, boundedness, and persistence

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Boundedness in a two-species chemotaxis system

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Boundedness and stabilization in a two-species chemotaxis-competition system of parabolic-parabolic-elliptic type

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Improvement of conditions for asymptotic stability in a two-species chemotaxis-competition model with signal-dependent sensitivity

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Q4392915

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Global stability of nonhomogeneous equilibrium solution for the diffusive Lotka-Volterra competition model

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Competitive exclusion in a two-species chemotaxis model

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Stabilization in a two-species chemotaxis system with a logistic source

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Asymptotics in a two-species chemotaxis system with logistic source

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Identifiers

arXiv ID

2404.03158

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:6195929