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

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  • Song, Binbin
  • Zuo, Wenjie

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.

Suggested Citation

  • Song, Binbin & Zuo, Wenjie, 2023. "Spatiotemporal dynamics of a three-component chemotaxis model for Alopecia Areata," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    • Handle: RePEc:eee:chsofr:v:169:y:2023:i:c:s0960077923001248
    DOI: 10.1016/j.chaos.2023.113223
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    References listed on IDEAS

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    1. Yan, Shuixian & Jia, Dongxue & Zhang, Tonghua & Yuan, Sanling, 2020. "Pattern dynamics in a diffusive predator-prey model with hunting cooperations," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
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