Exact time-dependent solutions of a Fisher-KPP-like equation obtained with nonclassical symmetry analysis
DOI10.1016/J.AML.2022.108151zbMath1491.35100arXiv2202.08915OpenAlexW4229079149WikidataQ113880640 ScholiaQ113880640MaRDI QIDQ2673726
Bronwyn H. Bradshaw-Hajek, Scott W. McCue, Matthew J. Simpson
Publication date: 13 June 2022
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.08915
reaction-diffusion equationpopulation biologynonclassical symmetry analysisFisher-Kolmogorov-Petrovkii-Piskunov
Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Solutions to PDEs in closed form (35C05) Self-similar solutions to PDEs (35C06)
Related Items (1)
Uses Software
Cites Work
- Unnamed Item
- Modelling directional guidance and motility regulation in cell migration
- Exact solutions for logistic reaction-diffusion equations in biology
- A quasilinar heat equation with a source: Peaking, localization, symmetry exact solutions, asymptotics, structures
- An exact solution for travelling waves of \(u_ t=Du_{xx}+u-u^ k\)
- Explicit solutions of Fisher's equation for a special wave speed
- Neutrally stable traveling wave solutions of nerve conduction equations
- On the nonlinear diffusion equation of Kolmogorov-Petrovskii-Piskunov type
- Periodic solutions of nerve impulse equations
- Symmetry reductions and exact solutions of a class of nonlinear heat equations
- An analytic solution for a Gompertz-like reaction-diffusion model for tumour growth
- Extinction of bistable populations is affected by the shape of their initial spatial distribution
- Multi-scale modeling of a wound-healing cell migration assay
- Hole-closing model reveals exponents for nonlinear degenerate diffusivity functions in cell biology
- Exact sharp-fronted travelling wave solutions of the Fisher-KPP equation
- Nagumo's equation
- Parameter identifiability and model selection for sigmoid population growth models
- Analytic solutions of the Nagumo equation
- THE EXISTENCE OF PERIODIC SOLUTIONS TO NAGUMO'S EQUATION
- Nonclassical symmetry reductions of the linear diffusion equation with a nonlinear source
- Nonclassical Symmetries for Nonlinear Diffusion and Absorption
- CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
- Nonclassical symmetry analysis of nonlinear reaction-diffusion equations in two spatial dimensions
- Analytic solutions for calcium ion fertilisation waves on the surface of eggs
- Revisiting the Fisher–Kolmogorov–Petrovsky–Piskunov equation to interpret the spreading–extinction dichotomy
- Exact non-classical symmetry solutions of Arrhenius reaction–diffusion
- RANDOM DISPERSAL IN THEORETICAL POPULATIONS
This page was built for publication: Exact time-dependent solutions of a Fisher-KPP-like equation obtained with nonclassical symmetry analysis