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Mathematical analysis and stability of a chemotaxis model with logistic term

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

inferredcites →https://doi.org/10.1006/bulm.1997.0010openalex-snapshot
Pattern Formation in a Generalized Chemotactic Model
inferredcites →https://doi.org/10.1006/bulm.1998.0042openalex-snapshot
Continuous and Discrete Mathematical Models of Tumor-induced Angiogenesis
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/10.1016/0022-5193(71)90050-6openalex-snapshot
Model for chemotaxis
inferredcites →https://doi.org/10.1016/s0022-247x(02)00147-6openalex-snapshot
Stability of solutions of chemotaxis equations in reinforced random walks
inferredcites →https://doi.org/10.1016/s0025-5564(00)00034-1openalex-snapshot
A mathematical model for the roles of pericytes and macrophages in the initiation of angiogenesis. I. The role of protease inhibitors in preventing angiogenesis
inferredcites →https://doi.org/10.1016/s1631-073x(02)00008-0openalex-snapshot
A chemotaxis model motivated by angiogenesis
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/s0036139995288976openalex-snapshot
Aggregation, Blowup, and Collapse: The ABC's of Taxis in Reinforced Random Walks
inferredcites →https://doi.org/10.1137/s0036139995291106openalex-snapshot
A System of Reaction Diffusion Equations Arising in the Theory of Reinforced Random Walks
inferredcites →https://doi.org/10.1137/s0036141001385046openalex-snapshot
Mathematical Analysis of a Model for the Initiation of Angiogenesis

What points at this work

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

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Existence of global solutions to a model of chondrogenesis
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Boundedness in a quasilinear chemotaxis–haptotaxis system with logistic source
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Boundedness and decay property in a three-dimensional Keller–Segel–Stokes system involving tensor-valued sensitivity with saturation
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Optimal decay rates for a chemotaxis model with logistic growth, logarithmic sensitivity and density-dependent production/consumption rate
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Nonlinear stability of diffusive contact wave for a chemotaxis model
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Boundedness for the chemotaxis system with logistic growth
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Propagation in a Fisher-KPP equation with non-local advection
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Global existence of classical solutions to a combined chemotaxis–haptotaxis model with logistic source
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A density-dependent chemotaxis–haptotaxis system modeling cancer invasion
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Local existence and uniqueness of regular solutions in a model of tissue invasion by solid tumours
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Global solutions and asymptotic behavior for a parabolic degenerate coupled system arising from biology
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On a parabolic–elliptic chemotactic model with coupled boundary conditions
inferred← citeshttps://doi.org/10.1016/j.nonrwa.2026.104677openalex-snapshot
Analytical and numerical results for solutions in a mixed-type two-species chemotaxis-competition system: I. Global existence
inferred← citeshttps://doi.org/10.1080/03605300701319003openalex-snapshot
A Chemotaxis System with Logistic Source
inferred← citeshttps://doi.org/10.1088/0951-7715/21/10/002openalex-snapshot
Global solution for a chemotactic–haptotactic model of cancer invasion
inferred← citeshttps://doi.org/10.1137/090751542openalex-snapshot
A Combined Chemotaxis-haptotaxis System: The Role of Logistic Source
inferred← citeshttps://doi.org/10.1137/100802943openalex-snapshot
A Chemotaxis-Haptotaxis Model: The Roles of Nonlinear Diffusion and Logistic Source
inferred← citeshttps://doi.org/10.1137/16m1071778openalex-snapshot
Lower Bound of Mass in a Chemotactic Model with Advection and Absorbing Reaction
inferred← citeshttps://doi.org/10.1137/16m1092428openalex-snapshot
Dynamics in Chemotaxis Models of Parabolic-Elliptic Type on Bounded Domain with Time and Space Dependent Logistic Sources
inferred← citeshttps://doi.org/10.1137/20m1356609openalex-snapshot
Finite-Time Blow-Up Prevention by Logistic Source in Parabolic-Elliptic Chemotaxis Models with Singular Sensitivity in Any Dimensional Setting
inferred← citeshttps://doi.org/10.1142/s1793524516500510openalex-snapshot
Qualitative analysis of a parabolic–elliptic attraction–repulsion chemotaxis model with logistic source
inferred← citeshttps://doi.org/10.19113/sdufenbed.1627078openalex-snapshot
Global Boundedness and Mass Persistence of Solutions to A Chemotaxis-Competition System with Logistic Source
inferred← citeshttps://doi.org/10.2139/ssrn.6659938openalex-snapshot
Analytical and numerical results for solutions in a mixed-type two-species chemotaxis-competition system: III. Uniform boundedness, pointwise persistence, coexistence, and extinction
inferred← citeshttps://doi.org/10.21597/jist.1640922openalex-snapshot
Global Boundedness and Mass Persistence in a Multi-Species Chemotaxis System
inferred← citeshttps://doi.org/10.3934/dcds.2019220openalex-snapshot
On the logarithmic Keller-Segel-Fisher/KPP system
inferred← citeshttps://doi.org/10.3934/proc.2015.1125openalex-snapshot
Existence of solutions to chemotaxis dynamics with logistic source
inferred← citeshttps://doi.org/10.4171/rmi/533openalex-snapshot
Flux terms and Robin boundary conditions as limit of reactions and potentials concentrating at the boundary
inferred← citeshttps://doi.org/10.48550/arxiv.1709.00923openalex-snapshot
Propagation in a Fisher-KPP equation with non-local advection *
inferred← citeshttps://doi.org/10.53570/jnt.1700338openalex-snapshot
A Multi-Species Keller-Segel Chemotaxis-Competition Model: Global Existence, Boundedness, and Mass Persistence
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