Global existence of solutions in two-species chemotaxis system with two chemicals with sub-logistic sources in 2d

2023/10/12 by Minh Tran Thao Le, Le, Minh
Mathematics · Biochemistry, Genetics and Molecular Biology · Immunology and Microbiology · #Mathematical Biology Tumor Growth #Gene Regulatory Network Analysis #Phagocytosis and Immune Regulation

paper · pdf · doi:10.48550/arxiv.2310.08382

Abstract

This paper investigates the global existence and boundedness of solutions in a two-species chemotaxis system with two chemicals and sub-logistic sources. The presence of a sub-logistic source in only one cell density equation effectively prevents the occurrence of blow-up solutions, even in fully parabolic chemotaxis systems.

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