On the Form of Smooth-Front Travelling Waves in a Reaction-Diffusion Equation with Degenerate Nonlinear Diffusion
Math. Model. Nat. Phenom., 5 5 (2010) 64-79
Published online: 2010-07-27
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):
Looking forwards and backwards: Dynamics and genealogies of locally regulated populations
Alison M. Etheridge, Thomas G. Kurtz, Ian Letter, Peter L. Ralph and Terence Tsui Ho LungElectronic Journal of Probability 29 (none) (2024)
https://doi.org/10.1214/24-EJP1075
Porous Medium Type Reaction-Diffusion Equation: Large Time Behaviors and Regularity of Free Boundary
Qingyou HeJournal of Functional Analysis 110643 (2024)
https://doi.org/10.1016/j.jfa.2024.110643
Exact Traveling Wave Solutions of One-Dimensional Models of Cancer Invasion
M. V. ShubinaJournal of Applied and Industrial Mathematics 17 (3) 616 (2023)
https://doi.org/10.1134/S1990478923030158
A mathematical model of wound healing in bovine corneal endothelium
Julio A. Hernández, Silvia Chifflet, Cristian Justet and Alicia TorrigliaJournal of Theoretical Biology 559 111374 (2023)
https://doi.org/10.1016/j.jtbi.2022.111374
Surface tension coupled non-uniformly imposed flows modulate the activity of reproducing chemotactic bacteria in porous media
William Kuipou and Alidou MohamadouScientific Reports 13 (1) (2023)
https://doi.org/10.1038/s41598-023-31753-y
The near-field tsunami generated by the 15 January 2022 eruption of the Hunga Tonga-Hunga Ha’apai volcano and its impact on Tongatapu, Tonga
Kwanchai Pakoksung, Anawat Suppasri and Fumihiko ImamuraScientific Reports 12 (1) (2022)
https://doi.org/10.1038/s41598-022-19486-w
Propagation fronts in a simplified model of tumor growth with degenerate cross-dependent self-diffusivity
Thierry Gallay and Corrado MasciaNonlinear Analysis: Real World Applications 63 103387 (2022)
https://doi.org/10.1016/j.nonrwa.2021.103387
Wavefront solutions for a class of nonlinear highly degenerate parabolic equations
Marco Cantarini, Cristina Marcelli and Francesca PapaliniJournal of Differential Equations 332 278 (2022)
https://doi.org/10.1016/j.jde.2022.05.019
Locally Linearized Runge-Kutta method of Dormand and Prince for large systems of initial value problems
F.S. Naranjo-Noda and J.C. JimenezJournal of Computational Physics 426 109946 (2021)
https://doi.org/10.1016/j.jcp.2020.109946
On a chemotaxis model with degenerate diffusion: Initial shrinking, eventual smoothness and expanding
Tianyuan Xu, Shanming Ji, Ming Mei and Jingxue YinJournal of Differential Equations 268 (2) 414 (2020)
https://doi.org/10.1016/j.jde.2019.08.013
Spectral Stability of Traveling Fronts for Reaction Diffusion-Degenerate Fisher-KPP Equations
J. Francisco Leyva and Ramón G. PlazaJournal of Dynamics and Differential Equations 32 (3) 1311 (2020)
https://doi.org/10.1007/s10884-019-09772-z
Derivation of a bacterial nutrient-taxis system with doubly degenerate cross-diffusion as the parabolic limit of a velocity-jump process
Ramón G. PlazaJournal of Mathematical Biology 78 (6) 1681 (2019)
https://doi.org/10.1007/s00285-018-1323-x
Strong and weak properties of travelling waves for degenerate diffusion/aggregation–diffusion models with non-smooth reaction term
Daiyong Wu, Hongyong Zhao and Yuzhen BaiApplied Mathematics Letters 84 76 (2018)
https://doi.org/10.1016/j.aml.2018.04.019
A new estimate on the minimal wave speed for travelling fronts in reaction–diffusion–convection equations
Cristina Marcelli and Francesca PapaliniElectronic Journal of Qualitative Theory of Differential Equations (10) 1 (2018)
https://doi.org/10.14232/ejqtde.2018.1.10
Co-operation, Competition and Crowding: A Discrete Framework Linking Allee Kinetics, Nonlinear Diffusion, Shocks and Sharp-Fronted Travelling Waves
Stuart T. Johnston, Ruth E. Baker, D. L. Sean McElwain and Matthew J. SimpsonScientific Reports 7 (1) (2017)
https://doi.org/10.1038/srep42134
Traveling wave solutions for a one dimensional model of cell-to-cell adhesion and diffusion with monostable reaction term
Lianzhang Bao and Zhengfang ZhouDiscrete & Continuous Dynamical Systems - S 10 (3) 395 (2017)
https://doi.org/10.3934/dcdss.2017019
(2016)
https://doi.org/10.1101/077743
A new approach to constructing efficient stiffly accurate EPIRK methods
G. Rainwater and M. TokmanJournal of Computational Physics 323 283 (2016)
https://doi.org/10.1016/j.jcp.2016.07.026
The effects of nutrient chemotaxis on bacterial aggregation patterns with non-linear degenerate cross diffusion
J. Francisco Leyva, Carlos Málaga and Ramón G. PlazaPhysica A: Statistical Mechanics and its Applications 392 (22) 5644 (2013)
https://doi.org/10.1016/j.physa.2013.07.022
Comparative performance of exponential, implicit, and explicit integrators for stiff systems of ODEs
J. Loffeld and M. TokmanJournal of Computational and Applied Mathematics 241 45 (2013)
https://doi.org/10.1016/j.cam.2012.09.038
Modelling the effect of temperature on the range expansion of species by reaction–diffusion equations
Otto Richter, Sylvia Moenickes and Frank SuhlingMathematical Biosciences 235 (2) 171 (2012)
https://doi.org/10.1016/j.mbs.2011.12.001
A singular reaction–diffusion system modelling prey–predator interactions: Invasion and co-extinction waves
A. Ducrot and M. LanglaisJournal of Differential Equations 253 (2) 502 (2012)
https://doi.org/10.1016/j.jde.2012.04.005
A new class of exponential propagation iterative methods of Runge–Kutta type (EPIRK)
M. TokmanJournal of Computational Physics 230 (24) 8762 (2011)
https://doi.org/10.1016/j.jcp.2011.08.023
TRAVELLING WAVE SOLUTIONS FOR DOUBLY DEGENERATE REACTION–DIFFUSION EQUATIONS
M. B. A. MANSOURThe ANZIAM Journal 52 (1) 101 (2010)
https://doi.org/10.1017/S144618111100054X