Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility

DOI10.1017/S0956792521000218OpenAlexW3178451519WikidataQ111492010 ScholiaQ111492010MaRDI QIDQ5056784

Xinran Ruan, Perthame, Benoît, Tommaso Lorenzi

Publication date: 8 December 2022

Published in: European Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.13084

zbMATH Keywords

adaptive dynamicsheterogeneous cell populationsinvasion frontsMcKendrick-von Foerster equationheterogeneous mobilitynonlocal advection-reaction-diffusion equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Population dynamics (general) (92D25) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Computational methods for problems pertaining to biology (92-08) Traveling wave solutions (35C07) Hamilton-Jacobi equations (35F21) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08) Integro-partial differential equations (35R09) Finite volume methods for boundary value problems involving PDEs (65N08)

Related Items (2)

Phenotypic heterogeneity in a model of tumour growth: existence of solutions and incompressible limit ⋮ The impact of phenotypic heterogeneity on chemotactic self-organisation

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