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A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source

https://doi.org/10.1137/100802943
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1002/mma.1146openalex-snapshot
Does a ‘volume-filling effect’ always prevent chemotactic collapse?
inferredcites →https://doi.org/10.1002/mma.528openalex-snapshot
Mathematical analysis and stability of a chemotaxis model with logistic term
inferredcites →https://doi.org/10.1006/aama.2001.0721openalex-snapshot
Global Existence for a Parabolic Chemotaxis Model with Prevention of Overcrowding
inferredcites →https://doi.org/10.1007/978-0-8176-4713-1_3openalex-snapshot
Towards Microscopic and Nonlocal Models of Tumour Invasion of Tissue
inferredcites →https://doi.org/10.1007/978-1-4612-0895-2openalex-snapshot
Degenerate Parabolic Equations
inferredcites →https://doi.org/10.1007/978-3-7643-7842-4openalex-snapshot
Transport Equations in Biology
inferredcites →https://doi.org/10.1007/bf00176379openalex-snapshot
Finite time blow-up in some models of chemotaxis
inferredcites →https://doi.org/10.1007/s00285-008-0201-3openalex-snapshot
A user’s guide to PDE models for chemotaxis
inferredcites →https://doi.org/10.1016/0022-5193(70)90092-5openalex-snapshot
Initiation of slime mold aggregation viewed as an instability
inferredcites →https://doi.org/10.1016/j.crma.2009.01.016openalex-snapshot
Finite time blow-up for radially symmetric solutions to a critical quasilinear Smoluchowski–Poisson system
inferredcites →https://doi.org/10.1016/j.jde.2004.10.022openalex-snapshot
Boundedness vs. blow-up in a chemotaxis system
inferredcites →https://doi.org/10.1016/j.jde.2010.02.008openalex-snapshot
Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model
inferredcites →https://doi.org/10.1016/j.jde.2011.08.019openalex-snapshot
Boundedness in a quasilinear parabolic–parabolic Keller–Segel system with subcritical sensitivity
inferredcites →https://doi.org/10.1016/j.jmaa.2004.12.009openalex-snapshot
Preventing blow-up in a chemotaxis model
inferredcites →https://doi.org/10.1016/j.jmaa.2008.01.005openalex-snapshot
On the global existence of solutions to an aggregation model
inferredcites →https://doi.org/10.1016/j.jmaa.2008.07.071openalex-snapshot
Chemotaxis with logistic source: Very weak global solutions and their boundedness properties
inferredcites →https://doi.org/10.1016/j.jmaa.2008.12.039openalex-snapshot
Global existence of classical solutions to a combined chemotaxis–haptotaxis model with logistic source
inferredcites →https://doi.org/10.1016/j.jtbi.2007.10.026openalex-snapshot
Mathematical modelling of cancer cell invasion of tissue: Local and non-local models and the effect of adhesion
inferredcites →https://doi.org/10.1016/j.matpur.2006.04.002openalex-snapshot
Volume effects in the Keller–Segel model: energy estimates preventing blow-up
inferredcites →https://doi.org/10.1016/j.na.2004.08.015openalex-snapshot
Global attractor for a chemotaxis model with prevention of overcrowding
inferredcites →https://doi.org/10.1016/j.na.2009.06.083openalex-snapshot
Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology
inferredcites →https://doi.org/10.1016/j.na.2009.07.045openalex-snapshot
Boundedness and finite-time collapse in a chemotaxis system with volume-filling effect
inferredcites →https://doi.org/10.1016/j.na.2010.08.044openalex-snapshot
Global existence of solutions to a parabolic–parabolic system for chemotaxis with weak degradation
inferredcites →https://doi.org/10.1016/s0362-546x(01)00815-xopenalex-snapshot
Exponential attractor for a chemotaxis-growth system of equations
inferredcites →https://doi.org/10.1016/s0959-8049(99)00125-2openalex-snapshot
Extracellular matrix concentration exerts selection pressure on invasive cells
inferredcites →https://doi.org/10.1080/03605300701319003openalex-snapshot
A Chemotaxis System with Logistic Source
inferredcites →https://doi.org/10.1080/03605300903473426openalex-snapshot
Boundedness in the Higher-Dimensional Parabolic-Parabolic Chemotaxis System with Logistic Source
inferredcites →https://doi.org/10.1080/03605307908820113openalex-snapshot
LPBounds of solutions of reaction-diffusion equations
inferredcites →https://doi.org/10.1088/0951-7715/21/10/002openalex-snapshot
Global solution for a chemotactic–haptotactic model of cancer invasion
inferredcites →https://doi.org/10.1088/0951-7715/21/5/009openalex-snapshot
Finite-time blow-up in a quasilinear system of chemotaxis
inferredcites →https://doi.org/10.1090/mmono/023openalex-snapshot
Linear and Quasi-linear Equations of Parabolic Type
inferredcites →https://doi.org/10.1090/s0002-9947-1992-1046835-6openalex-snapshot
On explosions of solutions to a system of partial differential equations modelling chemotaxis
inferredcites →https://doi.org/10.1137/060655122openalex-snapshot
Global Existence of Classical Solutions for a Haptotaxis Model
inferredcites →https://doi.org/10.1137/090751542openalex-snapshot
A Combined Chemotaxis-haptotaxis System: The Role of Logistic Source
inferredcites →https://doi.org/10.1142/9789811247460_0005openalex-snapshot
Partial Differential Equations
inferredcites →https://doi.org/10.1142/s0218202505000935openalex-snapshot
MICRO AND MESO SCALES OF DESCRIPTION CORRESPONDING TO A MODEL OF TISSUE INVASION BY SOLID TUMOURS
inferredcites →https://doi.org/10.1142/s0218202505000947openalex-snapshot
MATHEMATICAL MODELLING OF CANCER CELL INVASION OF TISSUE: THE ROLE OF THE UROKINASE PLASMINOGEN ACTIVATION SYSTEM
inferredcites →https://doi.org/10.1142/s0218202505003915openalex-snapshot
ANALYSIS OF A MATHEMATICAL MODEL OF TUMOR LYMPHANGIOGENESIS
inferredcites →https://doi.org/10.1142/s0218202508002796openalex-snapshot
ON THE FOUNDATIONS OF CANCER MODELLING: SELECTED TOPICS, SPECULATIONS, AND PERSPECTIVES
inferredcites →https://doi.org/10.1142/s0218202509003425openalex-snapshot
MATHEMATICAL MODELLING OF CANCER INVASION OF TISSUE: THE ROLE AND EFFECT OF NONLOCAL INTERACTIONS
inferredcites →https://doi.org/10.1142/s0218202510004301openalex-snapshot
BOUNDEDNESS OF SOLUTIONS OF A HAPTOTAXIS MODEL
inferredcites →https://doi.org/10.1142/s0218202510004775openalex-snapshot
ASYMPTOTIC BEHAVIOR OF GLOBAL SOLUTIONS TO A MODEL OF CELL INVASION
inferredcites →https://doi.org/10.1142/s0218202511005192openalex-snapshot
MATHEMATICAL MODELLING OF CANCER INVASION: THE IMPORTANCE OF CELL–CELL ADHESION AND CELL–MATRIX ADHESION
inferredcites →https://doi.org/10.1155/s1025583401000042openalex-snapshot
Blowup of nonradial solutions to parabolic–elliptic systems modeling chemotaxis in two-dimensional domains
inferredcites →https://doi.org/10.1201/9780203494899.ch10openalex-snapshot
Mathematical Modelling of Tissue Invasion
inferredcites →https://doi.org/10.2307/2153966openalex-snapshot
On Explosions of Solutions to a System of Partial Differential Equations Modelling Chemotaxis
inferredcites →https://doi.org/10.57262/die/1356039511openalex-snapshot
Time global existence and asymptotic behavior of solutions to degenerate quasi-linear parabolic systems of chemotaxis

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Boundedness in a quasilinear chemotaxis‐haptotaxis system with logistic source
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A strongly degenerate diffusion‐haptotaxis model of tumour invasion under the go‐or‐grow dichotomy hypothesis
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Global existence for a degenerate haptotaxis model of cancer invasion
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Global existence and boundedness of a chemotaxis model with indirect production and general kinetic function
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Analysis of a two-dimensional triply haptotactic model with a fusogenic oncolytic virus and syncytia
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Stabilization to a cancer invasion model with remodeling mechanism and slow diffusion
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Boundedness in a two-dimensional two-species cancer invasion haptotaxis model without cell proliferation
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Global existence of a diffusive predator–prey model with prey-stage structure and prey-taxis
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Global boundedness of weak solutions to a chemotaxis–haptotaxis model with p-Laplacian diffusion
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Global existence and boundedness in a chemotaxis system involving indirect production/consumption mechanism and signal-dependent motility
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Global Boundedness in a Chemotaxis System Involving Signal-Dependent Motility and Indirect Signal Consumption
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Global classical solutions in a Keller-Segel(-Navier)-Stokes system modeling coral fertilization
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Global well-posedness of axisymmetric solution to the 3D axisymmetric chemotaxis-Navier-Stokes equations with logistic source
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A quasilinear chemotaxis-haptotaxis system: Existence and blow-up results
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Global existence in a fully parabolic attraction-repulsion chemotaxis system with singular sensitivities and proliferation
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Finite-time blow-up in the higher dimensional parabolic-parabolic-ODE minimal chemotaxis-haptotaxis system
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Blow-up prevention by subquadratic and quadratic degradations in a three-dimensional Keller–Segel–Stokes system with indirect signal production
inferred← citeshttps://doi.org/10.1016/j.jde.2025.01.062openalex-snapshot
Global well-posedness for a quasilinear chemotaxis system with decaying diffusivity and consumption of a chemoattractant
inferred← citeshttps://doi.org/10.1016/j.jde.2025.113555openalex-snapshot
Very mild diffusion enhancement and singular sensitivity: Existence of bounded weak solutions in a two-dimensional chemotaxis-Navier–Stokes system
inferred← citeshttps://doi.org/10.1016/j.jde.2025.113991openalex-snapshot
Global well-posedness to a parabolic-degenerate angiogenesis system
inferred← citeshttps://doi.org/10.1016/j.jmaa.2015.05.071openalex-snapshot
Boundedness of solutions to a quasilinear parabolic–parabolic Keller–Segel system with a logistic source
inferred← citeshttps://doi.org/10.1016/j.jmaa.2016.04.047openalex-snapshot
Boundedness in a three-dimensional chemotaxis–fluid system involving tensor-valued sensitivity with saturation
inferred← citeshttps://doi.org/10.1016/j.jmaa.2016.04.049openalex-snapshot
Global boundedness in a quasilinear attraction–repulsion chemotaxis model with nonlinear sensitivity
inferred← citeshttps://doi.org/10.1016/j.jmaa.2018.10.093openalex-snapshot
On a fully parabolic chemotaxis system with Lotka–Volterra competitive kinetics
inferred← citeshttps://doi.org/10.1016/j.jmaa.2019.123376openalex-snapshot
Finite-time blow-up in quasilinear parabolic-elliptic chemotaxis system with nonlinear signal production
inferred← citeshttps://doi.org/10.1016/j.jmaa.2020.123876openalex-snapshot
Finite-time blow-up and global boundedness for chemotaxis system with strong logistic dampening
inferred← citeshttps://doi.org/10.1016/j.jmaa.2020.124231openalex-snapshot
A new (and optimal) result for the boundedness of a solution of a quasilinear chemotaxis–haptotaxis model (with a logistic source)
inferred← citeshttps://doi.org/10.1016/j.jmaa.2020.124784openalex-snapshot
A new result for boundedness of solutions to a higher-dimensional quasilinear chemotaxis system with a logistic source
inferred← citeshttps://doi.org/10.1016/j.jmaa.2021.125545openalex-snapshot
Boundedness of weak solutions in a 3D chemotaxis-Stokes system with nonlinear doubly degenerate diffusion
inferred← citeshttps://doi.org/10.1016/j.jmaa.2022.126893openalex-snapshot
Boundedness in a three-component chemotaxis system with nonlinear diffusion for alopecia areata
inferred← citeshttps://doi.org/10.1016/j.jmaa.2023.127595openalex-snapshot
Global bounded weak solutions in a two-dimensional Keller-Segel-Navier-Stokes system with indirect signal production and nonlinear diffusion
inferred← citeshttps://doi.org/10.1016/j.jmaa.2023.127909openalex-snapshot
Global classical solvability and asymptotic behaviors of a parabolic-elliptic Chemotaxis-type system modeling crime activities
inferred← citeshttps://doi.org/10.1016/j.jmaa.2025.129290openalex-snapshot
Nonlinear generation index of bounded solutions in a chemotaxis system with indirect signal, density-suppressed motility and generalized logistic source
inferred← citeshttps://doi.org/10.1016/j.jmaa.2025.129346openalex-snapshot
Global boundedness of Lotka-Volterra competition system with cross-diffusion
inferred← citeshttps://doi.org/10.1016/j.jmaa.2025.129426openalex-snapshot
Global existence for a three-species predator-prey model with slow p-Laplacian diffusion
inferred← citeshttps://doi.org/10.1016/j.jmaa.2025.129473openalex-snapshot
Boundedness and global existence in a higher-dimensional parabolic-elliptic-ODE chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
inferred← citeshttps://doi.org/10.1016/j.jmaa.2026.131054openalex-snapshot
Long time dynamics analysis of the Cauchy problem for the Chaplain-Lolas model
inferred← citeshttps://doi.org/10.1016/j.jocs.2023.102175openalex-snapshot
Mathematical modelling of cancer invasion: Phenotypic transitioning provides insight into multifocal foci formation
inferred← citeshttps://doi.org/10.1016/j.matpur.2017.11.002openalex-snapshot
Singular structure formation in a degenerate haptotaxis model involving myopic diffusion
inferred← citeshttps://doi.org/10.1016/j.na.2016.04.013openalex-snapshot
Stabilization in a higher-dimensional quasilinear Keller–Segel system with exponentially decaying diffusivity and subcritical sensitivity
inferred← citeshttps://doi.org/10.1016/j.na.2017.06.003openalex-snapshot
Existence of global bounded classical solution to a quasilinear attraction–repulsion chemotaxis system with logistic source
inferred← citeshttps://doi.org/10.1016/j.na.2018.10.003openalex-snapshot
Global solvability of chemotaxis–fluid systems with nonlinear diffusion and matrix-valued sensitivities in three dimensions
inferred← citeshttps://doi.org/10.1016/j.na.2020.111923openalex-snapshot
Boundedness and convergence of constant equilibria in a two-species chemotaxis-competition system with loop
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2013.10.008openalex-snapshot
Local well-posedness for the chemotaxis-Navier–Stokes equations in Besov spaces
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2015.07.008openalex-snapshot
On the inviscid limit of the three dimensional incompressible chemotaxis-Navier–Stokes equations
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2016.03.008openalex-snapshot
Sublinear signal production in a two-dimensional Keller–Segel–Stokes system
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2016.11.006openalex-snapshot
Global existence of weak solutions for the 3D chemotaxis-Navier–Stokes equations
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2017.02.005openalex-snapshot
Global existence and boundedness in a 2D Keller–Segel–Stokes system
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2017.11.009openalex-snapshot
Global large-data generalized solutions in a chemotactic movement with rotational flux caused by two stimuli
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2018.06.005openalex-snapshot
Global weak solutions for the three-dimensional chemotaxis-Navier–Stokes system with slow p -Laplacian diffusion
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2018.09.011openalex-snapshot
Global weak solutions to a 3-dimensional degenerate and singular chemotaxis–Navier–Stokes system with logistic source
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2018.09.019openalex-snapshot
Global solvability and large time behavior to a chemotaxis–haptotaxis model with nonlinear diffusion
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2019.02.005openalex-snapshot
On a fully parabolic chemotaxis system with nonlinear signal secretion
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2019.04.014openalex-snapshot
Global boundedness of weak solution in an attraction–repulsion chemotaxis system with p -Laplacian diffusion
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2020.103160openalex-snapshot
Global existence for a class of chemotaxis-consumption systems with signal-dependent motility and generalized logistic source
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2020.103190openalex-snapshot
Global dynamics of a two-species chemotaxis-consumption system with signal-dependent motilities
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2021.103331openalex-snapshot
Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2022.103533openalex-snapshot
Boundedness in a fully parabolic attraction–repulsion chemotaxis system with nonlinear diffusion and signal-dependent sensitivity
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2022.103543openalex-snapshot
Global weak solutions in a three-dimensional coral fertilization model involving the Navier–Stokes equations and arbitrary porous medium type diffusion
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2022.103757openalex-snapshot
Global existence and stabilization in a diffusive predator–prey model with population flux by attractive transition
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2024.104234openalex-snapshot
Boundedness and stabilization in an indirect pursuit-evasion model with nonlinear signal-dependent diffusion and sensitivity
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2025.104453openalex-snapshot
On the existence of globally bounded solutions for a spatial Solow-Swan model with density-dependent motion
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2025.104478openalex-snapshot
Global solutions to the angiogenesis system with p -Laplacian diffusion
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2025.104559openalex-snapshot
Global solvability in a 3D attraction-repulsion Navier-Stokes system with consumption of chemoattractant and sub-quadratic degradation
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2026.104628openalex-snapshot
Some progress on global solvability and boundedness of solutions for taxis-dominated May-Nowak type system with virus infection and nonlinear diffusion kinetics
inferred← citeshttps://doi.org/10.1016/j.padiff.2021.100046openalex-snapshot
Existence of tumor invasion model with mesenchymal and epithelial transition processes in variable exponent spaces
inferred← citeshttps://doi.org/10.1017/prm.2020.38openalex-snapshot
An n-dimensional chemotaxis system with signal-dependent motility and generalized logistic source: global existence and asymptotic stabilization
inferred← citeshttps://doi.org/10.1017/prm.2024.70openalex-snapshot
The roles of nonlinear diffusion, haptotaxis and ECM remodelling in determining the global solvability of a cancer invasion model
inferred← citeshttps://doi.org/10.1017/s0308210512000571openalex-snapshot
Boundedness and stabilization in a multi-dimensional chemotaxis—haptotaxis model
inferred← citeshttps://doi.org/10.1017/s0956792520000248openalex-snapshot
Global dynamics and spatio-temporal patterns of predator–prey systems with density-dependent motion
inferred← citeshttps://doi.org/10.1039/c3ib40137eopenalex-snapshot
Directed cell migration in multi-cue environments
inferred← citeshttps://doi.org/10.1051/m2an/2022012openalex-snapshot
A Glioblastoma PDE-ODE model including chemotaxis and vasculature
inferred← citeshttps://doi.org/10.1063/5.0054708openalex-snapshot
Pattern formation of reaction–diffusion system with chemotaxis terms
inferred← citeshttps://doi.org/10.1063/5.0069180openalex-snapshot
Blow-up vs boundedness in a two-species attraction–repulsion chemotaxis system with two chemicals
inferred← citeshttps://doi.org/10.1063/5.0097126openalex-snapshot
Global weak solutions in a three-dimensional two-species cancer invasion haptotaxis model without cell proliferation
inferred← citeshttps://doi.org/10.1063/5.0143786openalex-snapshot
Critical exponent to a cancer invasion model with nonlinear diffusion
inferred← citeshttps://doi.org/10.1080/00036811.2020.1783536openalex-snapshot
Global asymptotic stability in a parabolic–elliptic chemotaxis system with competitive kinetics and loop
inferred← citeshttps://doi.org/10.1088/0951-7715/29/5/1564openalex-snapshot
Boundedness in a chemotaxis–haptotaxis model with nonlinear diffusion
inferred← citeshttps://doi.org/10.1088/1361-6544/aa565bopenalex-snapshot
Global existence and slow grow-up in a quasilinear Keller–Segel system with exponentially decaying diffusivity
inferred← citeshttps://doi.org/10.1088/1361-6544/aa675eopenalex-snapshot
Boundedness of the solution of a higher-dimensional parabolic–ODE–parabolic chemotaxis–haptotaxis model with generalized logistic source
inferred← citeshttps://doi.org/10.1088/1361-6544/aad307openalex-snapshot
A note for global existence of a two-dimensional chemotaxis–haptotaxis model with remodeling of non-diffusible attractant
inferred← citeshttps://doi.org/10.1088/1361-6544/ab41d5openalex-snapshot
A new result for 2D boundedness of solutions to a chemotaxis–haptotaxis model with/without sub-logistic source
inferred← citeshttps://doi.org/10.1088/1361-6544/ab9249openalex-snapshot
Global solvability and stabilization to a cancer invasion model with remodelling of ECM *
inferred← citeshttps://doi.org/10.1090/proc/17345openalex-snapshot
Global boundedness of a chemotaxis-consumption model with signal-dependent sensitivity
inferred← citeshttps://doi.org/10.1093/amrx/abt004openalex-snapshot
A Note on a 3D Haptotaxis Model of Cancer Invasion
inferred← citeshttps://doi.org/10.1093/imamat/hxv033openalex-snapshot
On an attraction–repulsion chemotaxis system with a logistic source
inferred← citeshttps://doi.org/10.1093/imrn/rns270openalex-snapshot
A Note on Global Existence for the Chemotaxis–Stokes Model with Nonlinear Diffusion
inferred← citeshttps://doi.org/10.1111/sapm.12577openalex-snapshot
Uniform boundedness and eventual Hölder continuity to a cancer invasion model with remodeling of ECM and nonlinear diffusion
inferred← citeshttps://doi.org/10.1111/sapm.70221openalex-snapshot
Global Dynamics of an Epidemic Model With Spatiotemporal Memory
inferred← citeshttps://doi.org/10.1137/130936920openalex-snapshot
Global Well-Posedness for the Two-Dimensional Incompressible Chemotaxis-Navier--Stokes Equations
inferred← citeshttps://doi.org/10.1137/13094058xopenalex-snapshot
Global Weak Solutions in a PDE-ODE System Modeling Multiscale Cancer Cell Invasion
inferred← citeshttps://doi.org/10.1137/17m1144647openalex-snapshot
Boundedness, Stabilization, and Pattern Formation Driven by Density-Suppressed Motility
inferred← citeshttps://doi.org/10.1137/17m1159488openalex-snapshot
Global Very Weak Solutions to a Chemotaxis-Fluid System with Nonlinear Diffusion
inferred← citeshttps://doi.org/10.1137/24m1675953openalex-snapshot
On a Spatial Mosquito-Borne Disease Model with Density-Dependent Dispersal
inferred← citeshttps://doi.org/10.1142/s0218202510004775openalex-snapshot
ASYMPTOTIC BEHAVIOR OF GLOBAL SOLUTIONS TO A MODEL OF CELL INVASION
inferred← citeshttps://doi.org/10.1142/s0218202512500443openalex-snapshot
COMPETING EFFECTS OF ATTRACTION VS. REPULSION IN CHEMOTAXIS
inferred← citeshttps://doi.org/10.1142/s0218202512500480openalex-snapshot
CONVERGENCE OF A CANCER INVASION MODEL TO A LOGISTIC CHEMOTAXIS MODEL
inferred← citeshttps://doi.org/10.1142/s0218202513500553openalex-snapshot
GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF A TUMOR ANGIOGENESIS MODEL WITH CHEMOTAXIS AND HAPTOTAXIS
inferred← citeshttps://doi.org/10.1142/s021820251550044xopenalex-snapshot
Toward a mathematical theory of Keller–Segel models of pattern formation in biological tissues
inferred← citeshttps://doi.org/10.1142/s0218202516400091openalex-snapshot
To the exclusion of blow-up in a three-dimensional chemotaxis-growth model with indirect attractant production
inferred← citeshttps://doi.org/10.1142/s021820251640011xopenalex-snapshot
Global existence for a go-or-grow multiscale model for tumor invasion with therapy
inferred← citeshttps://doi.org/10.1142/s0218202516500044openalex-snapshot
On a generalized doubly parabolic Keller–Segel system in one spatial dimension
inferred← citeshttps://doi.org/10.1142/s0218202516500457openalex-snapshot
Analysis of a chemotaxis system modeling ant foraging
inferred← citeshttps://doi.org/10.1142/s0218202517500282openalex-snapshot
Effects of signal-dependent motilities in a Keller–Segel-type reaction–diffusion system
inferred← citeshttps://doi.org/10.1142/s0218202519500519openalex-snapshot
Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation
inferred← citeshttps://doi.org/10.1142/s0218202521500287openalex-snapshot
Negligibility of haptotaxis effect in a chemotaxis–haptotaxis model
inferred← citeshttps://doi.org/10.1142/s0218202523500446openalex-snapshot
Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy
inferred← citeshttps://doi.org/10.1142/s0218202525500320openalex-snapshot
Global boundedness and finite time blow-up of solutions for a quasilinear chemotaxis-May–Nowak model
inferred← citeshttps://doi.org/10.11648/j.ijamtp.20251102.11openalex-snapshot
Weak Solutions to the Three-Dimensional Chemotaxis-Stokes System with Active Transport
inferred← citeshttps://doi.org/10.1186/s13661-015-0372-yopenalex-snapshot
Global existence and uniform boundedness of smooth solutions to a parabolic-parabolic chemotaxis system with nonlinear diffusion
inferred← citeshttps://doi.org/10.1186/s13661-019-1255-4openalex-snapshot
Boundedness in a quasilinear chemotaxis–haptotaxis model of parabolic–parabolic–ODE type
inferred← citeshttps://doi.org/10.12677/aam.2018.79139openalex-snapshot
Global Existence for a Haptotaxis Model of Cancer Invasion with Tissue Remodeling in Three Dimensions
inferred← citeshttps://doi.org/10.12677/pm.2023.133046openalex-snapshot
Local Existence of Solutions for a Class of Chemotaxis Model
inferred← citeshttps://doi.org/10.14492/hokmj/1520928060openalex-snapshot
Large-time behavior of solutions to a tumor invasion model of Chaplain–Anderson type with quasi-variational structure
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