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An infection age-space-structured SIR epidemic model with Dirichlet boundary condition
2019
Mathematical Modelling of Natural Phenomena
In this paper, we are concerned with the global asymptotic behavior of an SIR epidemic model with infection age-space structure. Under the homogeneous Dirichlet boundary condition, we first reformulate the model into the coupled reaction-diffusion and difference system by using the method of characteristics. We then obtain the spatially heterogeneous disease-free steady state and define the basic reproduction number ℛ0 by the spectral radius of the next generation operator. We then show the
doi:10.1051/mmnp/2019048
fatcat:nizfbmsja5aazjdzlfrgo7kmhy