Selected article for: "basic reproduction number and spectral radius"
Author: Ramses Djidjou-Demasse; Yannis Michalakis; Marc Choisy; Micea T. Sofonea; Samuel Alizon
Title: Optimal COVID-19 epidemic control until vaccine deployment
  • Document date: 2020_4_6
    • ID: 5sdzyj0q_77
    Snippet: is the (which was not peer-reviewed) The copyright holder for this preprint . https://doi.org/10.1101/2020.04.02. Following [4] , the basic reproduction number of Model (2.5) is defined as the spectral radius ρ F V −1 of the next generation matrix F V −1 . A straightforward computation leads to ρ F V −1 =S 0 ρ 1 σ P(β A , β A ) + P(β I , ξβ I ) (γ + d(0)) −1 =S 0 ρ(K), with K = px py (1 − p)x (1 − p)y , x = β A σ + β I Î.....
    Document: is the (which was not peer-reviewed) The copyright holder for this preprint . https://doi.org/10.1101/2020.04.02. Following [4] , the basic reproduction number of Model (2.5) is defined as the spectral radius ρ F V −1 of the next generation matrix F V −1 . A straightforward computation leads to ρ F V −1 =S 0 ρ 1 σ P(β A , β A ) + P(β I , ξβ I ) (γ + d(0)) −1 =S 0 ρ(K), with K = px py (1 − p)x (1 − p)y , x = β A σ + β I γm and y = β A σ + ξβ I γs+α[0] . Since det(K) = 0, it comes

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