We propose and analyze a discretization method for simulating the evolution of a stage-dependent epidemics spreading in one population. The model is formulated as a coupled system of an ordinary differential equation with a partial differential equation of hyperbolic type, supplemented by suitable initial and boundary conditions.
Convergence Analysis of a Finite Difference Method for a Nonlinear Stage-Dependent Epidemic System Model
VENTURINO, Ezio
2005-01-01
Abstract
We propose and analyze a discretization method for simulating the evolution of a stage-dependent epidemics spreading in one population. The model is formulated as a coupled system of an ordinary differential equation with a partial differential equation of hyperbolic type, supplemented by suitable initial and boundary conditions.
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