Analysis of the Fisher-KPP equation with a time-dependent Allee effect. (24th August 2020)
- Record Type:
- Journal Article
- Title:
- Analysis of the Fisher-KPP equation with a time-dependent Allee effect. (24th August 2020)
- Main Title:
- Analysis of the Fisher-KPP equation with a time-dependent Allee effect
- Authors:
- Alzaleq, Lewa'
Manoranjan, Valipuram - Abstract:
- Abstract: In this short note, we study the Fisher-KPP population model with a time-dependent Allee threshold. We consider the time dependence as sinusoidal functions and rational functions as they relate to varying environmental situations of the model. Employing the generalized Riccati equation mapping method, we obtain exact traveling wave solutions. Also, when the time-dependent Allee threshold decays to a constant value, we recover the traveling wave solution of the degenerate Fitzhugh-Nagumo equation from our general solution.
- Is Part Of:
- IOP SciNotes. Volume 1:Number 2(2020)
- Journal:
- IOP SciNotes
- Issue:
- Volume 1:Number 2(2020)
- Issue Display:
- Volume 1, Issue 2 (2020)
- Year:
- 2020
- Volume:
- 1
- Issue:
- 2
- Issue Sort Value:
- 2020-0001-0002-0000
- Page Start:
- Page End:
- Publication Date:
- 2020-08-24
- Subjects:
- Reaction-diffusion model -- Allee threshold -- traveling wave -- wave speed
500 - Journal URLs:
- https://iopscience.iop.org/journal/2633-1357 ↗
- DOI:
- 10.1088/2633-1357/ab99cc ↗
- Languages:
- English
- ISSNs:
- 2633-1357
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 14753.xml