Traveling wave solutions for a cancer stem cell invasion model

Department

Mathematics

Document Type

Article

Publication Date

9-1-2021

Abstract

In this paper we analyze the dynamics of a cancer invasion model that incorporates the cancer stem cell hypothesis. In particular, we develop a model that includes a cancer stem cell subpopulation of tumor cells. Traveling wave analysis and Geometric Singular Perturbation Theory are used in order to determine existence and persistence of solutions for the model.

Journal Title

Discrete and Continuous Dynamical Systems - Series B

Journal ISSN

15313492

Volume

26

Issue

9

First Page

5067

Last Page

5093

Digital Object Identifier (DOI)

10.3934/dcdsb.2020333

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