A fractional-order model for Ebola virus infection with delayed immune response on heterogeneous complex networks

Most of the biological systems have long-range temporal memory and modeling of such systems by fractional-order differential equations has more advantages than classical models with integer-orders. In this paper, we provide a fractional-order Ebola virus epidemic model with delayed immune response on heterogeneous complex networks. The time-delay is introduced in the cytotoxic T-lymphocyte (CTLs) term. Based on fractional Laplace transform, some conditions on stability are derived for the model. The analysis shows that the fractional-order time-delay can effectively enrich the dynamics and strengthen the stability condition of fractional-order infection model. Finally, the derived theoretical results are justified by some numerical simulations.