Travelling wave solutions in a negative nonlinear diffusion-reaction model.

Yifei Li, Peter van Heijster, Robert Marangell, Matthew J Simpson

Abstract read

In one paragraph

Article in Journal of mathematical biology, 2020. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.

0numbers the graph read from it

0cells of the map it votes in

1citing papers in PubMed

–field-weighted citation impact

1 · What the graph read from it

What it found

Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.

The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.

2 · The registry

The trial behind it

Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.

Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.

3 · Its place in the literature

Who cites it

1 citing paper in PubMed.

Interpreting how nonlinear diffusion affects the fate of bistable populations using a discrete modelling framework.Proceedings. Mathematical, physical, and engineering sciences · 2022
Article

4 · The record

Corrections and comments

PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.

5 · Who and what money

Authors and funding

4 authors.

Yifei LiSchool of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD, Australia.

Peter van HeijsterSchool of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD, Australia. peter.vanheijster@wur.nl.

Robert MarangellSchool of Mathematics and Statistics, University of Sydney, Sydney, NSW, Australia.

Matthew J SimpsonSchool of Mathematical Sciences, Queensland University of Technology, Brisbane, QLD, Australia.

Funding

No grant is acknowledged in the PubMed record.

6 · The paper itself

Abstract

We use a geometric approach to prove the existence of smooth travelling wave solutions of a nonlinear diffusion-reaction equation with logistic kinetics and a convex nonlinear diffusivity function which changes sign twice in our domain of interest. We determine the minimum wave speed, [Formula: see text], and investigate its relation to the spectral stability of a desingularised linear operator associated with the travelling wave solutions.

Indexed as

Models, BiologicalNonlinear DynamicsDiffusionGeometric methodsNonlinear diffusionPhase plane analysisSpectral stabilityTravelling wave solutions

Identifiers

PMID33216181

DOI10.1007/s00285-020-01547-1

PMCPMC7717045

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Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.