Chemotaxis induced Turing bifurcation in a partly diffusive bacterial and viral diseases propagation model

Abstract In this paper, we investigate a partly diffusive bacterial and viral diseases propagation model with chemotaxis subject to the homogeneous Neumann boundary condition. Choosing chemotaxis coefficient as bifurcation parameter, we discuss the stability of the positive equilibrium and the existence of Turing bifurcations by analyzing the corresponding characteristic equation. Based on the obtained results, we reveal the fact that chemotaxis can induce Turing bifurcations and the model has no Turing bifurcations when the chemotaxis is absent. Finally, some numerical simulations are also carried out to illustrate and expand the theoretical results.

• Publication year

  2020

• Venue

  Applied Mathematics Letters

• Publication date

  2020-02-01

• Fields of study

  Mathematics, Computer Science, Environmental Science

• Identifiers
  DOI 10.1016/j.aml.2019.106037
• External record

  Open on Semantic Scholar

• Source metadata

  Semantic Scholar

• No claims are published for this paper.

• No concepts are published for this paper.

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