On Chemotaxis Models with Cell Population Interactions
Math. Model. Nat. Phenom., 5 3 (2010) 173-190
Published online: 2010-04-28
Articles citing this article
The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
This article has been cited by the following article(s):
From a nonlinear kinetic equation to a volume-exclusion chemotaxis model via asymptotic preserving methods
Gissell Estrada-Rodriguez, Diane Peurichard and Xinran RuanKinetic and Related Models (2025)
https://doi.org/10.3934/krm.2025012
Traveling wave solution of a chemotaxis model with logistic growth and indirect signal production
Xue Xue Dong, Kaili Wang, Jicheng Tao and Manjun MaDiscrete and Continuous Dynamical Systems - B 30 (7) 2539 (2025)
https://doi.org/10.3934/dcdsb.2024176
New RK type time-integration methods for stiff convection–diffusion–reaction systems
Vivek S. Yadav, Ankit Singh, Vikas Maurya and Manoj K. RajpootComputers & Fluids 257 105865 (2023)
https://doi.org/10.1016/j.compfluid.2023.105865
Local null controllability of a quasi-linear system and related numerical experiments
Enrique Fernández-Cara, Juan Límaco, Yuri Thamsten and Denilson MenezesESAIM: Control, Optimisation and Calculus of Variations 29 27 (2023)
https://doi.org/10.1051/cocv/2023009
Treatment-induced shrinking of tumour aggregates: a nonlinear volume-filling chemotactic approach
Luis Almeida, Gissell Estrada-Rodriguez, Lisa Oliver, et al.Journal of Mathematical Biology 83 (3) (2021)
https://doi.org/10.1007/s00285-021-01642-x
On the attraction–repulsion chemotaxis system with volume-filling effect
Hongyun PengJournal of Mathematical Physics 62 (11) (2021)
https://doi.org/10.1063/5.0051198
Dynamics of pattern formation and emergence of swarming in Caenorhabditis elegans
Esin Demir, Y Ilker Yaman, Mustafa Basaran and Askin KocabaseLife 9 (2020)
https://doi.org/10.7554/eLife.52781
Spectral stability of travelling wave solutions in a Keller–Segel model
P.N. Davis, P. van Heijster and R. MarangellApplied Numerical Mathematics 141 54 (2019)
https://doi.org/10.1016/j.apnum.2018.05.008
Pattern formation for a two-dimensional reaction-diffusion model with chemotaxis
Manjun Ma, Meiyan Gao and R. Carretero-GonzálezJournal of Mathematical Analysis and Applications 475 (2) 1883 (2019)
https://doi.org/10.1016/j.jmaa.2019.03.060
Global large-data generalized solutions in a chemotactic movement with rotational flux caused by two stimuli
Ying Dong and Zhaoyin XiangNonlinear Analysis: Real World Applications 41 549 (2018)
https://doi.org/10.1016/j.nonrwa.2017.11.009
Global solutions of a two‐dimensional chemotaxis system with attraction and repulsion rotational flux terms
Ying Dong and Xie LiMathematical Methods in the Applied Sciences 40 (6) 2248 (2017)
https://doi.org/10.1002/mma.4136
Patterns in a generalized volume-filling chemotaxis model with cell proliferation
Manjun Ma and Zhian WangAnalysis and Applications 15 (01) 83 (2017)
https://doi.org/10.1142/S0219530515500220
Absolute instabilities of travelling wave solutions in a Keller–Segel model
P N Davis, P van Heijster and R MarangellNonlinearity 30 (11) 4029 (2017)
https://doi.org/10.1088/1361-6544/aa842f
Chemotaxis-driven pattern formation for a reaction–diffusion–chemotaxis model with volume-filling effect
Manjun Ma, Meiyan Gao, Changqing Tong and Yazhou HanComputers & Mathematics with Applications 72 (5) 1320 (2016)
https://doi.org/10.1016/j.camwa.2016.06.039
Boundedness and blow-up for a chemotaxis system with generalized volume-filling effect and logistic source
Pan Zheng, Chunlai Mu and Xuegang HuDiscrete & Continuous Dynamical Systems - A 35 (5) 2299 (2015)
https://doi.org/10.3934/dcds.2015.35.2299
Global bifurcation and stability of steady states for a reaction-diffusion-chemotaxis model with volume-filling effect
Manjun Ma and Zhi-An WangNonlinearity 28 (8) 2639 (2015)
https://doi.org/10.1088/0951-7715/28/8/2639
Boundedness in quasilinear Keller-Segel equations with nonlinear sensitivity and logistic source
Xie Li and Zhaoyin XiangDiscrete & Continuous Dynamical Systems - A 35 (8) 3503 (2015)
https://doi.org/10.3934/dcds.2015.35.3503
Mathematical Models of Tumor-Immune System Dynamics
Andrea K. Cooper and Peter S. KimSpringer Proceedings in Mathematics & Statistics, Mathematical Models of Tumor-Immune System Dynamics 107 21 (2014)
https://doi.org/10.1007/978-1-4939-1793-8_2
On a quasilinear parabolic–elliptic chemotaxis system with logistic source
Liangchen Wang, Chunlai Mu and Pan ZhengJournal of Differential Equations 256 (5) 1847 (2014)
https://doi.org/10.1016/j.jde.2013.12.007
Spatiotemporal pattern formation of a diffusive bimolecular model with autocatalysis and saturation law
Jun ZhouComputers & Mathematics with Applications 66 (10) 2003 (2013)
https://doi.org/10.1016/j.camwa.2013.08.022
Computational Modeling of Microabscess Formation
Alexandre Bittencourt Pigozzo, Gilson Costa Macedo, Rodrigo Weber dos Santos and Marcelo LoboscoComputational and Mathematical Methods in Medicine 2012 1 (2012)
https://doi.org/10.1155/2012/736394
Spatiotemporal evolution in a (2+1)-dimensional chemotaxis model
Santo Banerjee, Amar P. Misra and L. RondoniPhysica A: Statistical Mechanics and its Applications 391 (1-2) 107 (2012)
https://doi.org/10.1016/j.physa.2011.07.053
Global Regularity versus Infinite-Time Singularity Formation in a Chemotaxis Model with Volume-Filling Effect and Degenerate Diffusion
Zhi-An Wang, Michael Winkler and Dariusz WrzosekSIAM Journal on Mathematical Analysis 44 (5) 3502 (2012)
https://doi.org/10.1137/110853972
Singularity formation in chemotaxis systems with volume-filling effect
Zhi-An Wang, Michael Winkler and Dariusz WrzosekNonlinearity 24 (12) 3279 (2011)
https://doi.org/10.1088/0951-7715/24/12/001