The dynamics of Zika virus with Caputo fractional derivative

被引：59
|
作者：
Khan, Muhammad Altaf [1 ]
Ullah, Saif [2 ]
Farhan, Muhammad [3 ]
机构：
[1] City Univ Sci & Informat Technol, Dept Math, Peshawar, KP, Pakistan
[2] Univ Peshawar, Dept Math, Peshawar, KP, Pakistan
[3] Abdul Wali Khan Univ, Dept Math, Mardan, KP, Pakistan
来源：
AIMS MATHEMATICS | 2019年 / 4卷 / 01期
关键词：
Zika virus model; stability analysis; generalized mean value theorem; Lyapunov function; Caputo derivative; numerical results; MODELS;
D O I：
10.3934/Math.2019.1.134
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 I. ID 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.
引用
收藏
页码：134 / 146
页数：13
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