Numerical analysis for a three interacting species model with nonlocal and cross diffusion
ESAIM: M2AN, 49 1 (2015) 171-192
Published online: 2015-01-14
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):
Optimal control of inter-population disease spread via reaction-diffusion models
Verónica Anaya, Gerardo Chowell, Felipe Jara and Mauricio Sepúlveda-CortésMathematical Biosciences 397 109690 (2026)
https://doi.org/10.1016/j.mbs.2026.109690
Mathematical Study of a Nonlinear Ecological System Describing Forager–Exploiter Interactions in a Fluid Environment
Mostafa Bendahmane, Youness Mezzan, Yassine Ouzrour and Mohamed ZagourMathematical Methods in the Applied Sciences 48 (13) 13202 (2025)
https://doi.org/10.1002/mma.11095
A convergent finite-volume scheme for nonlocal cross-diffusion systems for multi-species populations
Ansgar Jüngel, Stefan Portisch and Antoine ZurekESAIM: Mathematical Modelling and Numerical Analysis 58 (2) 759 (2024)
https://doi.org/10.1051/m2an/2024016
(2024)
https://doi.org/10.2139/ssrn.4784288
Mathematical analysis and multiscale derivation of a nonlinear predator–prey cross-diffusion–fluid system with two chemicals
Mostafa Bendahmane, Fahd Karami, Driss Meskine, Jacques Tagoudjeu and Mohamed ZagourCommunications in Nonlinear Science and Numerical Simulation 136 108090 (2024)
https://doi.org/10.1016/j.cnsns.2024.108090
Stability of the Ionic Parameters of a Nonlocal FitzHugh-Nagumo Model of Cardiac Electrophysiology
Narjess Ben Abid, Mostafa Bendahmane and Moncef MahjoubActa Applicandae Mathematicae 193 (1) (2024)
https://doi.org/10.1007/s10440-024-00682-x
Multiscale derivation of deterministic and stochastic cross-diffusion models in a fluid: A review
M. Bendahmane, F. Karami and M. ZagourChaos: An Interdisciplinary Journal of Nonlinear Science 34 (12) (2024)
https://doi.org/10.1063/5.0238999
(2024)
https://doi.org/10.2139/ssrn.4992329
Study of an entropy dissipating finite volume scheme for a nonlocal cross-diffusion system
Maxime Herda and Antoine ZurekESAIM: Mathematical Modelling and Numerical Analysis 57 (3) 1589 (2023)
https://doi.org/10.1051/m2an/2023032
Finite element error analysis of a time-fractional nonlocal diffusion equation with the Dirichlet energy
J. Manimaran, L. Shangerganesh and Amar DebboucheJournal of Computational and Applied Mathematics 382 113066 (2021)
https://doi.org/10.1016/j.cam.2020.113066
Convergence of a finite-volume scheme for a degenerate-singular cross-diffusion system for biofilms
Esther S Daus, Ansgar Jüngel and Antoine ZurekIMA Journal of Numerical Analysis 41 (2) 935 (2021)
https://doi.org/10.1093/imanum/draa040
Kinetic-fluid derivation and mathematical analysis of a nonlocal cross-diffusion–fluid system
Abdelghafour Atlas, Mostafa Bendahmane, Fahd Karami, Driss Meskine and Mohamed ZagourApplied Mathematical Modelling 82 379 (2020)
https://doi.org/10.1016/j.apm.2019.11.036
Numerical analysis of a three-species chemotaxis model
Raimund Bürger, Rafael Ordoñez, Mauricio Sepúlveda and Luis Miguel VilladaComputers & Mathematics with Applications 80 (1) 183 (2020)
https://doi.org/10.1016/j.camwa.2020.03.008
A virtual element method for a nonlocal FitzHugh–Nagumo model of cardiac electrophysiology
Mauricio Sepúlveda, David Mora, Mostafa Bendahmane and Verónica AnayaIMA Journal of Numerical Analysis 40 (2) 1544 (2020)
https://doi.org/10.1093/imanum/drz001
Finite‐volume scheme for a degenerate cross‐diffusion model motivated from ion transport
Clément Cancès, Claire Chainais‐Hillairet, Anita Gerstenmayer and Ansgar JüngelNumerical Methods for Partial Differential Equations 35 (2) 545 (2019)
https://doi.org/10.1002/num.22313
A numerical scheme for a kinetic model for mixtures in the diffusive limit using the moment method
Andrea Bondesan, Laurent Boudin and Bérénice GrecNumerical Methods for Partial Differential Equations 35 (3) 1184 (2019)
https://doi.org/10.1002/num.22345
Kinetic‐fluid derivation and mathematical analysis of the cross‐diffusion–Brinkman system
Mostafa Bendahmane, Fahd Karami and Mohamed ZagourMathematical Methods in the Applied Sciences 41 (16) 6288 (2018)
https://doi.org/10.1002/mma.5139
A convergent finite volume method for a model of indirectly transmitted diseases with nonlocal cross-diffusion
Verónica Anaya, Mostafa Bendahmane, Michel Langlais and Mauricio SepúlvedaComputers & Mathematics with Applications 70 (2) 132 (2015)
https://doi.org/10.1016/j.camwa.2015.04.021