☆ 4.4 Article

Global existence of a quasilinear chemotaxis model with signal-dependent motility and indirect signal production mechanism

JOURNAL OF MATHEMATICAL PHYSICS (2022)

Related references

Note: Only part of the references are listed.

Article Mathematics

Boundedness in a Chemotaxis System Under a Critical Parameter Condition

Guoqiang Ren et al.

Summary: This paper explores the global classical solution of the chemotaxis system with indirect signal production and logistic-type source under homogeneous Neumann boundary conditions in a bounded domain with smooth boundary, given a critical parameter condition.

BULLETIN OF THE BRAZILIAN MATHEMATICAL SOCIETY (2021)

Add to Collection

Article Mathematics

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

Jie Jiang et al.

Summary: Global existence is established for classical solutions to a chemotaxis model with signal-dependent motility, where the motility function gamma may decay in an arbitrary way at infinity. It is also shown that global solutions are uniformly bounded with respect to time when gamma decays sufficiently slowly at infinity. The admissible decay of gamma at infinity here is higher than in previous works.

JOURNAL OF DIFFERENTIAL EQUATIONS (2021)

Add to Collection

Article Mathematics, Applied

Global Boundedness of the Fully Parabolic Keller-Segel System with Signal-Dependent Motilities

Zhi-An Wang et al.

Summary: This paper establishes the global uniform-in-time boundedness of solutions to the Keller-Segel system with signal-dependent diffusion and chemotaxis. The analysis involves estimating a weighted functional integral to derive a uniform L-infinity-norm of the solution and rule out the degeneracy of diffusion.

ACTA APPLICANDAE MATHEMATICAE (2021)

Add to Collection

Article Mathematics, Applied

Global boundedness in the higher-dimensional chemotaxis system with indirect signal production and rotational flux

Ying Dong et al.

Summary: The model considers a chemotaxis system with indirect signal production and rotational sensitivity in a smooth bounded domain, where a unique and globally bounded solution exists for sufficiently smooth initial data if certain conditions are satisfied.

APPLIED MATHEMATICS LETTERS (2021)

Add to Collection

Article Mathematics, Applied

Global boundedness and large time behavior of solutions to a chemotaxis-consumption system with signal-dependent motility

Dan Li et al.

Summary: This paper discusses the behavior of a chemotaxis-consumption system with signal-dependent motility in a smoothly bounded domain Omega. The study shows that for the case of positive motility function, the system has a unique global classical solution which is uniformly bounded, and the solution exponentially converges to constant equilibria in the large time. Additionally, the existence of weak solution is obtained when the motility function is zero at some point.

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2021)

Add to Collection

Article Mathematics, Applied

Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities

Kentarou Fujie et al.

Summary: This paper investigates the global existence and occurrence of infinite-time blowups in a fully parabolic system in a smooth bounded domain with no-flux boundary conditions. The study proposes a comparison method to address the issue of degeneracy, which is different from the conventional energy method. It also reveals an intrinsic mechanism that prohibits finite-time degeneracy in any spatial dimension with a generic decreasing gamma function.

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2021)

Add to Collection

Article Physics, Mathematical

Global solvability in a two-species chemotaxis system with logistic source

Guoqiang Ren

Summary: This paper considers a two-species chemotaxis system with a logistic source and establishes the global existence of generalized solutions under appropriate regularity assumptions. This result partially generalizes and improves previously known results.

JOURNAL OF MATHEMATICAL PHYSICS (2021)

Add to Collection

Article Mathematics, Applied

On the parabolic-elliptic Keller-Segel system with signal-dependent motilities: A paradigm for global boundedness and steady states

Zhi-An Wang

Summary: This paper focuses on a parabolic-elliptic Keller-Segel system where diffusive and chemotactic coefficients depend on the chemical signal density. The study establishes global boundedness of solutions in any dimensions with general conditions on the signal-dependent motility functions, applicable to a wide class of motility functions. The existence/nonexistence of non-constant steady states are studied and various stationary profiles are found, outlining open questions for further research. Results demonstrate that the global boundedness and profiles of stationary solutions in this system depend on several factors, making the dynamics rich and diverse.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES (2021)

Add to Collection

Article Mathematics, Applied

Asymptotic behavior of a quasilinear Keller-Segel system with signal-suppressed motility

Chi Xu et al.

Summary: This paper focuses on the density-suppressed motility model, describing the motility of Eeshcrichia coli cells during spatio-temporal pattern formation. Through duality argument, it is shown that the problem has at least one global weak solution, which asymptotically converges to a spatially uniform equilibrium in L infinity(Omega).

CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS (2021)

Add to Collection

Article Mathematics, Applied

Steady states and pattern formation of the density-suppressed motility model

Zhi-An Wang et al.

Summary: This paper investigates the stationary problem of density-suppressed motility models in one dimension with Neumman boundary conditions, using global bifurcation theory and the Helly compactness theorem to explore the conditions under which non-constant stationary solutions exist. The results show that in the absence of cell growth, solutions exhibit monotonicity and a global bifurcation diagram can be obtained by treating the chemical diffusion rate as a bifurcation parameter. However, with cell growth, the structure of the global bifurcation diagram becomes much more complex and solutions lose their monotonicity property, requiring a minimum range of growth rate for non-constant stationary solutions to exist.

IMA JOURNAL OF APPLIED MATHEMATICS (2021)

Add to Collection

Article Mathematics, Applied

THE KELLER-SEGEL SYSTEM WITH LOGISTIC GROWTH AND SIGNAL-DEPENDENT MOTILITY

Hai-Yang Jin et al.

Summary: This paper investigates the chemotaxis system with nonlinear motility functions and establishes the existence of globally bounded solutions under specific conditions, showing that all solutions will exponentially converge to the unique constant steady state (1, 1) when mu > K-0/16.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2021)

Add to Collection

Article Mathematics

Global dynamics for an attraction-repulsion chemotaxis model with logistic source

Guoqiang Ren et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2020)

Add to Collection

Article Mathematics, Applied

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

Manjun Ma et al.

PHYSICA D-NONLINEAR PHENOMENA (2020)

Add to Collection

Article Mathematics, Applied

CRITICAL MASS ON THE KELLER-SEGEL SYSTEM WITH SIGNAL-DEPENDENT MOTILITY

Hai-Yang Jin et al.

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (2020)

Add to Collection

Article Mathematics, Applied

Global existence and boundedness of a chemotaxis model with indirect production and general kinetic function

Xie Li

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2020)

Add to Collection

Article Mathematics

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

Kentarou Fujie et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2020)

Add to Collection

Article Mathematics

Boundedness and asymptotics of a reaction -diffusion system with density -dependent motility

Hai-Yang Jin et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2020)

Add to Collection

Article Mathematics, Applied

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

Michael Winkler

NONLINEARITY (2020)

Add to Collection

Article Mathematics, Applied

Effects of density-suppressed motility in a two-dimensional chemotaxis model arising from tumor invasion

Dan Li et al.

ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK (2020)

Add to Collection

Article Mathematics, Applied

Large time behavior of solutions for density-suppressed motility system in higher dimensions

Zhengrong Liu et al.

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2019)

Add to Collection

Article Mathematics, Applied

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

Jaewook Ahn et al.

NONLINEARITY (2019)

Add to Collection

Article Mathematics

Stabilization in three-dimensional chemotaxis-growth model with indirect attractant production

Ya Tian et al.

COMPTES RENDUS MATHEMATIQUE (2019)

Add to Collection

Article Mathematics, Applied

A quasilinear fully parabolic chemotaxis system with indirect signal production and logistic source

Wei Wang

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS (2019)

Add to Collection

Article Physics, Mathematical

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

Jianping Wang et al.

JOURNAL OF MATHEMATICAL PHYSICS (2019)

Add to Collection

Article Mathematics, Applied

Large time behavior in a chemotaxis model with logistic growth and indirect signal production

Wenji Zhang et al.

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS (2019)

Add to Collection

Article Mathematics, Applied

GLOBAL BOUNDEDNESS IN A QUASILINEAR FULLY PARABOLIC CHEMOTAXIS SYSTEM WITH INDIRECT SIGNAL PRODUCTION

Mengyao Ding et al.

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B (2019)

Add to Collection

Article Mathematics, Applied

Boundedness in a chemotaxis system with indirect signal production and generalized logistic source

Huayin Li et al.

APPLIED MATHEMATICS LETTERS (2018)

Add to Collection

Article Mathematics, Applied

Global Existence and Aggregation in a Keller-Segel Model with Fokker-Planck Diffusion

Changwook Yoon et al.

ACTA APPLICANDAE MATHEMATICAE (2017)

Add to Collection

Article Mathematics

Application of an Adams type inequality to a two-chemical substances chemotaxis system

Kentarou Fujie et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2017)

Add to Collection

Article Mathematics, Applied

Improved Duality Estimates and Applications to Reaction-Diffusion Equations

Jose A. Canizo et al.

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS (2014)

Add to Collection

Article Biology

Pattern Formation in a Model for Mountain Pine Beetle Dispersal: Linking Model Predictions to Data

S. Strohm et al.

BULLETIN OF MATHEMATICAL BIOLOGY (2013)

Add to Collection

Article Mathematics

Boundedness in a quasilinear parabolic-parabolic Keller-Segel system with subcritical sensitivity

Youshan Tao et al.

JOURNAL OF DIFFERENTIAL EQUATIONS (2012)

Add to Collection

Article Multidisciplinary Sciences

Sequential Establishment of Stripe Patterns in an Expanding Cell Population

Chenli Liu et al.

SCIENCE (2011)

Add to Collection

Article Mathematics

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

Michael Winkler

JOURNAL OF DIFFERENTIAL EQUATIONS (2010)

Add to Collection

© Peeref 2019-2024. All rights reserved.