2019/01/20 by Lianzhang Bao, Wenxian Shen, Bao, Lianzhang +1
Biochemistry, Genetics and Molecular Biology · Mathematics · Medicine · #Cancer Cells and Metastasis #Dynamical Systems (math.DS) #FOS: Mathematics #Gene Regulatory Network Analysis #Mathematical Biology Tumor Growth
paper · pdf · doi:10.48550/arxiv.1901.06686
openalex publication_date 2019/01/20 · openalex created_date 2019/02/21 · openalex updated_date 2026/07/28
The current series of research papers is to investigate the asymptotic dynamics in logistic type chemotaxis models in one space dimension with a free boundary or unbounded boundary. Such a model with a free boundary describes the spreading of a new or invasive species subject to the influence of some chemical substances in an environment with a free boundary representing the spreading front. In this first of the series, we investigated the dynamical behaviors of logistic type chemotaxis models on the half line ℝ+, which are formally corresponding limit systems of the free boundary problems. In the second of the series, we establish the spreading-vanishing dichotomy in chemoattraction-repulsion systems with a free boundary as well as with double free boundaries.