The dynamics of Zika virus with Caputo fractional derivative

The dynamics of Zika virus with Caputo fractional derivative

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 i...

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Bibliographic Details
Main Authors: Muhammad Altaf Khan, Saif Ullah, Muhammad Farhan
Format: Article
Language:English
Published: AIMS Press 2019-02-01
Series:AIMS Mathematics
Subjects:
Zika virus model
stability analysis
generalized mean value theorem
Lyapunov function
Caputo derivative
numerical results
Online Access:https://www.aimspress.com/article/10.3934/Math.2019.1.134/fulltext.html
Description
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.
ISSN:2473-6988

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