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

Pramana

Subir Das1¹  Sana P Ansari¹  Saurabh K Agrawal¹ 

[1]Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi 221 005, India$$

关键词: Susceptible–infected–recovered model;    fractional time derivative;    stability analysis;    chaos;    synchronization;    active control method.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 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.

【 授权许可】

Unknown