Article

Global Existence of Classical Solutions to an Aggregation Model with Logistic Source

J. O. TakhirovInstitute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, UzbekistanBunyodbek AnvarjonovInstitute of Mathematics, Uzbekistan Academy of Sciences, 100174, Tashkent, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2023en

ABI

Abstract

In this article, a class of systems of cross-diffusion chemotaxis is studied. Using the entropy dissipation method and assuming that chemotactic sensitivity mainly separates cell density and chemical signal, it is established the existence of global solutions with cross-diffusion effects. The global existence and uniqueness of the classical solutions of this system is proved by the contraction mapping principle using a priori $$L^{p}$$ estimates and Schauder type estimates for parabolic equations.

Topics

Mathematical Biology Tumor Growth Mathematical and Theoretical Epidemiology and Ecology Models Gene Regulatory Network Analysis

Identifiers

DOI: 10.1134/s1995080223120363

Citations and references

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