Abstract
In this paper, we study the effect of chemotactic movement of CTLs on HIV-1 infection dynamics by a reaction diffusion system with chemotaxis. Choosing a typical chemosensitive function, we find that chemoattractive movement of CTLs due to HIV infection does not change stability of a positive steady state of the model, meaning that the stability/instability of the model remains the same as in the model without spatial effect. However, chemorepulsion movement of CTLs can destabilize the positive steady state as the strength of the chemotactic sensitivity increases. In this case, Turing instability occurs, which may result in Hopf bifurcation or steady state bifurcation, and spatial inhomogeneous pattern forms.
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