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

1 College of Science & Technology, Korea University Sejong 30019, Republic of Korea
2 Samsung Fire & Marine Insurance, Seoul 04523, Republic of Korea
3 Department of Mathematics, POSTECH, Pohang 37673, Republic of Korea

Special Issues: Top-down and bottom-up approaches for the modeling of complex systems

This paper studies a reaction-diffusion-advection system describing a directed movement of immune cells toward chemokines during the immune process. We investigate the global solvability of the model based on the bootstrap argument for minimal chemotaxis models. We also examine the stability of nonconstant steady states and the existence of periodic orbits from theoretical aspects of bifurcation analysis. Through numerical simulations, we observe the occurrence of steady or time-periodic pattern formations.
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© 2020 the Author(s), licensee AIMS Press. This is an open access article distributed under the terms of the Creative Commons Attribution Licese (http://creativecommons.org/licenses/by/4.0)

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