Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 134-146 |
| Number of pages | 13 |
| Journal | Journal of Computational and Applied Mathematics |
| Volume | 339 |
| DOIs | |
| Publication status | Published - Sept 2018 |
Keywords
- CTL response
- Complex networks
- Ebola virus
- Stability
- Time-delay
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics
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