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[01974] Solving fractional Hantavirus model: A new approach

  • Session Time & Room : 3D (Aug.23, 15:30-17:10) @G402
  • Type : Contributed Talk
  • Abstract : In the present work, fractional order Hantavirus epidemic model introduced by \cite{peixoto2006effect,hantavirus2010modeling} is integrated using new iterative method (NIM) and implicit $\theta-$ method ($\theta=1$). New iterative method has been developed by Daftardar-Gejji and H. Jafari \cite{daftardar2006iterative}. Using new iterative method and $ \theta-$ method \cite{yakit2018explicit}, we have developed a new numerical algorithm to solve fractional differential equations (FDEs) in the Hantavirus model. Dynamics of the hanta virus model is studied. Hantavirus model of fractional order represents mouse population before and after getting influenced by Hantavirus under various conditions and its effect on birth rate and death rate of mice is studied. This model represents a Hantavirus infection in rodents and alien population. It has been observed that solution obtained by new algorithm is accurate and in good agreement when compared with solution obtained by other established algorithms. Further, effects of harvesting efforts $E(t)$ as an optimal control on spread of Hantavirus infection is studied. It has been observed that, population of both susceptible and infected rodents minimizes when we apply optimal control.
  • Classification : 34AXX, 03-XX, 26AXX
  • Format : Talk at Waseda University
  • Author(s) :
    • Yogita Mahesh Mahatekar (COEP Technological University)
    • Amey Deshpande (MIT World peace University)