WIAS Preprint No. 2847, (2021)

Global existence of solutions to Keller--Segel chemotaxis system with heterogeneous logistic source and nonlinear secretion


Authors

  • Arumgam, Gurusamy
  • Dond, Asha K.
  • Erhardt, André H.
    ORCID: 0000-0003-4389-8554

2020 Mathematics Subject Classification

  • 35D30 35A01 35K40

Keywords

  • Chemotaxis, parabolic systems, global-in-time existence

DOI

10.20347/WIAS.PREPRINT.2847

Abstract

We study the following Keller-Segel chemotaxis system with logistic source and nonlinear secretion. For this system, we prove the global existence of solutions under suitable assumptions.

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