Influences of Allee effects in the spreading of malignant tumours
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Publication:305573
DOI10.1016/j.jtbi.2015.12.024zbMath1343.92245OpenAlexW2283684700WikidataQ50728295 ScholiaQ50728295MaRDI QIDQ305573
Kristen Harley, Peter van Heijster, Sanjeeva Balasuriya, Lotte Sewalt
Publication date: 30 August 2016
Published in: Journal of Theoretical Biology (Search for Journal in Brave)
Full work available at URL: https://eprints.qut.edu.au/92730/1/SecondResub_clean.pdf
travelling wave solutionsgeometric singular perturbation theoryAllee effectscanard theorymalignant tumour model
Medical applications (general) (92C50) Cell movement (chemotaxis, etc.) (92C17) Traveling wave solutions (35C07)
Related Items (11)
Logistic proliferation of cells in scratch assays is delayed ⋮ Interlocked feedback loops balance the adaptive immune response ⋮ Is the Allee effect relevant in cancer evolution and therapy? ⋮ Traveling wave solutions in a model for tumor invasion with the acid-mediation hypothesis ⋮ Extended logistic growth model for heterogeneous populations ⋮ Travelling wave solutions in a negative nonlinear diffusion-reaction model ⋮ (In)stability of Travelling Waves in a Model of Haptotaxis ⋮ Modeling the effects of density dependent emigration, weak Allee effects, and matrix hostility on patch-level population persistence ⋮ Shock-fronted travelling waves in a reaction-diffusion model with nonlinear forward-backward-forward diffusion ⋮ Extinction of bistable populations is affected by the shape of their initial spatial distribution ⋮ On a 2D model of avascular tumor with weak Allee effect
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