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

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      https://www.ias.ac.in/article/fulltext/pram/084/01/0023-0032

    • Keywords

       

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

    • Abstract

       

      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.

    • Author Affiliations

       

      Sana P Ansari1 Saurabh K Agrawal1 Subir Das1

      1. Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi 221 005, India
    • Dates

       
  • Pramana – Journal of Physics | News

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