The dynamics of Zika virus with Caputo fractional derivative. (English) Zbl 1425.37054
Summary: In the present paper, we investigate a fractional model in Caputo sense to explore the dynamics of the Zika virus. The basic results of the fractional Zika model are presented. The local and global stability analysis of the proposed model is obtained when the basic reproduction reproduction number is less or greater than 1. To show the global stability of the fractional Zika model, we use the Lyapunov function theory in fractional environment. Further, we simulate the fractional Zika model to present the graphical results for different values of fractional order and model parameters.
MSC:
| 37N25 | Dynamical systems in biology |
| 26A33 | Fractional derivatives and integrals |
| 34A08 | Fractional ordinary differential equations |
Keywords:
Zika virus model; stability analysis; generalized mean value theorem; Lyapunov function; Caputo derivative; numerical resultsReferences:
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