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How far does small chemotactic interaction perturb the Fisher-KPP dynamics? - MaRDI portal

How far does small chemotactic interaction perturb the Fisher-KPP dynamics? (Q2400664)

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English	How far does small chemotactic interaction perturb the Fisher-KPP dynamics?	scientific article

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scholarly article

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How far does small chemotactic interaction perturb the Fisher-KPP dynamics? (English)

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Johannes Lankeit

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Masaaki Mizukami

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Journal of Mathematical Analysis and Applications

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publication date

29 August 2017

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full work available at URL

https://arxiv.org/abs/1610.07981

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zbMATH Keywords

chemotaxis

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Fisher-KPP equation

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stability

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MaRDI profile type

MaRDI publication profile

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Traveling wave fronts for generalized Fisher equations with spatio-temporal delays

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Multidimensional nonlinear diffusion arising in population genetics

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

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The speed of propagation for KPP type problems. I: Periodic framework

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The Stefan problem for the Fisher-KPP equation

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Spatio-temporal oscillations in the Keller–Segel system with logistic growth

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Stabilization in a chemotaxis model for tumor invasion

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On the nonlocal Fisher–KPP equation: steady states, spreading speed and global bounds

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Convergence rate estimates of solutions in a higher dimensional chemotaxis system with logistic source

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Geometric theory of semilinear parabolic equations

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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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Stability of travelling fronts of the Fisher-KPP equation in \(\mathbb {R}^{N}\)

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Initiation of slime mold aggregation viewed as an instability

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Chemotaxis can prevent thresholds on population density

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Eventual smoothness and asymptotics in a three-dimensional chemotaxis system with logistic source

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On the nonlinear diffusion equation of Kolmogorov, Petrovskij, and Piscunov

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Résolution de problèmes elliptiques quasilineaires

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Global existence of solutions to a parabolic-parabolic system for chemotaxis with weak degradation

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Global solutions and exponential attractors of a parabolic-parabolic system for chemotaxis with subquadratic degradation

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Exponential attractor for a chemotaxis-growth system of equations

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Spatio-temporal chaos in a chemotaxis model

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The Fisher-KPP Equation with Nonlinear Fractional Diffusion

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A Chemotaxis System with Logistic Source

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Very weak global solutions to a parabolic-parabolic chemotaxis-system with logistic source

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Chemotaxis with logistic source: very weak global solutions and their boundedness properties

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Aggregation vs. global diffusive behavior in the higher-dimensional Keller-Segel model

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Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source

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Global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with strong logistic dampening

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How far can chemotactic cross-diffusion enforce exceeding carrying capacities?

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Emergence of large population densities despite logistic growth restrictions in fully parabolic chemotaxis systems

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Identifiers

zbMATH Open document ID

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Mathematics Subject Classification ID

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zbMATH DE Number

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10.1016/J.JMAA.2017.03.005

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Sitelinks

Mathematics(1 entry)

mardi Publication:2400664

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