In this paper, we study the global dynamics of a fractional-order Ebola model with delayed immune response on complex networks. The model describes the interaction of Ebola virus with the immune cells. A time delay is introduced in the cytotoxic T-lymphocyte term to ensure the response period taken against the virus. By constructing a suitable Lyapunov function the global stability of the equilibrium points has been investigated with help of basic reproduction. The analysis shows that the fractional-order time-delay can effectively enrich the dynamics and strengthen the stability condition of the fractional-order infection model. Finally, the derived theoretical results are justified by some numerical simulations.
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