Global well-posedness and pattern formations of the immune system induced by chemotaxis

• DOI: 10.3934/mbe.2020194
• Publication Date: 2020-05-06T06:03:51Z
• Authors: Changwook Yoon; ; Sewoong Kim; Hyung Ju Hwang
• Keywords: Reaction–diffusion system; Argument (complex analysis)

<abstract> <p>This paper studies a reaction-diffusion-advection system describing directed movement of immune cells toward chemokines during the process. We investigate global solvability model based on bootstrap argument for minimal chemotaxis models. also examine stability nonconstant steady states and existence periodic orbits from theoretical aspects bifurcation analysis. Through numerical simulations, we observe occurrence or time-periodic pattern formations.</p> </abstract>