Chemotaxis induced complex dynamics in a novel viral infection model. (January 2022)

• Record Type: Journal Article
• Authors: Wang, Wei; Zhou, Mengchen
• Is Part Of: Applied mathematics letters. Volume 123(2022)
• Publication Date: 2022-01
• Subjects: Pyroptosis -- Viral infection model -- Chemotaxis -- Hopf bifurcation -- Turing instability; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2021.107581
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this letter, we establish a viral infection model with the effect of pyroptosis and chemotaxis. Choosing chemotaxis coefficient as the bifurcation parameter, we derive the necessary condition for the existence of Turing instability. We observe that chemotaxis can induce Turing instability, which may lead to steady state bifurcation or Hopf bifurcation, and spatial patterns.