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[01815] Time-fractional SVIR chicken-pox mathematical model with quarantine compartment

  • Session Time & Room : 4D (Aug.24, 15:30-17:10) @E711
  • Type : Contributed Talk
  • Abstract : This work considers a time-fractional SVIR chicken-pox reaction-diffusion model with nonlinear diffusion operators. The model also contains the quarantine compartment and therefore, it consists of five unknown variables. Further suitable initial and boundary conditions are also given along with the model. The existence of weak solutions proved for the proposed time-fractional model in the bounded domain with appropriate assumptions and a-priori energy estimates. The main results of the work demonstrated using the Faedo-Galerkin method and approximation problem. Finally, numerical simulations are provided to understand the evolution of the chicken-pox virus among the population.
  • Classification : 92B05, 35K57, 35A01
  • Author(s) :
    • Shangerganesh Lingeshwaran (National Institute of Technology Goa)
    • Hariharan Soundararajan (National Institute of Technology Goa)
    • Manimaran Jeyaraj (Vellore Insitute of Technology)