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[01164] Infection spreading in tissue as a delayed reaction diffusion wave

  • Session Time & Room : 5D (Aug.25, 15:30-17:10) @D515
  • Type : Contributed Talk
  • Abstract : In this work, we have discussed the stationary solution of a delayed reaction diffusion system for the concentrations of uninfected cells, infected cells, and virus cells. We have also discussed the existence of waves for the corresponding monotone system and found the minimal wave speed of the system. We have observed that when the death rates of uninfected and infected cells were the same, the virus propagation gradually decreases, but when the death rates are different, the wave propagation initially increases and then decreases. It is also observed that as the time delay increases the initial oscillations also increases. Next, we convert the system into a single diffusion equation using a quasi-stationary approximation, study the existence of the wave, and find the analytical expression for the minimal wave speed. We have also performed comprehensive simulations to compare and validate the results for both cases.
  • Classification : 93C10, 93C43, 35AXX
  • Format : Talk at Waseda University
  • Author(s) :
    • Moitri Sen (National Institute of Technology Patna)
    • Saddam Hussain (National Institute of Technology Patna)
    • Vitaly Volpert (Institut Camille Jordan, UMR 5208 CNRS, University Lyon 1)