Stability analysis of fractional-order generalized chaotic susceptible-infected-recovered epidemic model and its synchronization using active control method

被引：22
作者：
Ansari, Sana P. [1 ]
Agrawal, Saurabh K. [1 ]
Das, Subir [1 ]
机构：
[1] Indian Inst Technol BHU, Dept Math Sci, Varanasi 221005, Uttar Pradesh, India
来源：
PRAMANA-JOURNAL OF PHYSICS | 2015年 / 84卷 / 01期
关键词：
Susceptible-infected-recovered model; fractional time derivative; stability analysis; chaos; synchronization; active control method; SYSTEMS; INFORMATION; ATTRACTORS;
D O I：
10.1007/s12043-014-0830-6
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
This paper presents the synchronization between a pair of identical susceptible-infected-recovered (SIR) epidemic chaotic systems and fractional-order time derivative using active control method. The fractional derivative is described in Caputo sense. Numerical simulation results show that the method is effective and reliable for synchronizing the fractional-order chaotic systems while it allows the system to remain in chaotic state. The striking features of this paper are: the successful presentation of the stability of the equilibrium state and the revelation that time for synchronization varies with the variation in fractional-order derivatives close to the standard one for different specified values of the parameters of the system.
引用
收藏
页码：23 / 32
页数：10
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