Spatiotemporal dynamics of a three-component chemotaxis model for Alopecia Areata

Binbin Song and Wenjie Zuo

Chaos, Solitons & Fractals, 2023, vol. 169, issue C

Abstract: In this paper, we investigate the influence of two indirect chemotaxis terms χ1,χ2 on the spatiotemporal dynamics of a three-component model for Alopecia areata. The stability of the unique positive equilibrium and bifurcations are discussed by choosing the bifurcating parameters χ1,χ2. When χ1=0, χ2 can lead to complex spatial pattern via Turing bifurcation. And fixing χ2 in a certain region, χ1 can lead to spatially nonhomogeneous periodic solutions via Hopf bifurcation. It is shown that there exist a codimension-2 Turing–Turing bifurcation due to the joint effect of χ2 and proliferation rate and Double-Hopf bifurcation due to nonhomogeneous Hopf bifurcations with different modes induced by χ1 and proliferation rate.

Keywords: Alopecia areata; Chemotaxis; Stability; Nonhomogeneous Hopf bifurcation; Turing bifurcation (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001248

DOI: 10.1016/j.chaos.2023.113223

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