Exact smooth and sharp-fronted travelling waves of reaction-diffusion equations with weak Allee effects
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Publication:2080873
DOI10.1016/j.aml.2022.108433zbMath1498.35144OpenAlexW4295853734MaRDI QIDQ2080873
Publication date: 11 October 2022
Published in: Applied Mathematics Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.aml.2022.108433
Solutions to PDEs in closed form (35C05) Traveling wave solutions (35C07) Moving boundary problems for PDEs (35R37) Quasilinear parabolic equations (35K59)
Cites Work
- Extension of Euler's beta function
- Explicit solutions of Fisher's equation for a special wave speed
- Mathematical biology. Vol. 2: Spatial models and biomedical applications.
- Free boundary models for mosquito range movement driven by climate warming
- Merging traveling waves for the porous-Fisher's equation
- Shocks in nonlinear diffusion
- Travelling waves in a free boundary mechanobiological model of an epithelial tissue
- A sharp-front moving boundary model for malignant invasion
- Population dynamics with threshold effects give rise to a diverse family of allee effects
- Exact sharp-fronted travelling wave solutions of the Fisher-KPP equation
- Spreading-Vanishing Dichotomy in the Diffusive Logistic Model with a Free Boundary
- Travelling wave behaviour for a Porous-Fisher equation
- New travelling wave solutions of the Porous–Fisher model with a moving boundary
- Semi-infinite travelling waves arising in a general reaction–diffusion Stefan model
- Revisiting the Fisher–Kolmogorov–Petrovsky–Piskunov equation to interpret the spreading–extinction dichotomy
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