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The dynamics of Zika virus with Caputo fractional derivative

1 Department of mathematics, City university of Science and Information Technology, Peshawar, KP, Pakistan
2 Department of mathematics, University of Peshawar, KP, Pakistan
3 Department of mathematics, Abdul wali khan university, Mardan, KP, Pakistan

Special Issues: New trends of numerical and analytical methods with application to real world models for instance RLC with new nonlocal operators

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.
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Keywords Zika virus model; stability analysis; generalized mean value theorem; Lyapunov function; Caputo derivative; numerical results

Citation: Muhammad Altaf Khan, Saif Ullah, Muhammad Farhan. The dynamics of Zika virus with Caputo fractional derivative. AIMS Mathematics, 2019, 4(1): 134-146. doi: 10.3934/Math.2019.1.134


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