Effect of Time Delay on Spatial Patterns in a Airal Infection Model with Diffusion

This paper is concerned with the dynamics of a viral infection model with diffusion under the assumption that the immune response is retarded.A time delay is incorporated into big boys buttonups the model described the delayed immune response after viral infection.Based upon a stability analysis, we demonstrate that the appearance, or the absence, of spatial patterns is determined by the delay Hose Adapter under some conditions.Moreover, the spatial patterns occurs as a consequence of Hopf bifurcation.

By applying the normal form and the center manifold theory, the direction as well as the stability of the Hopf bifurcation is explored.In addition, a series of numerical simulations are performed to illustrate our theoretical results.

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