Coupling of Two SIR Epidemic Models with Variable Susceptibility and Infectivity
نویسندگان
چکیده
The variable generalised stochastic epidemic (VGSE) model which allows for variability in both the susceptibility and infectivity of individuals is analysed. A very different epidemic model which exhibits variable susceptibility and infectivity is the random graph epidemic model. A suitable coupling of the two epidemic models is derived, which enables us to show that, whilst the epidemics are very different in appearance, they have the same asymptotic final size distribution. The coupling provides a novel approach for studying random graph epidemic models.
منابع مشابه
Coupling of Two Sir Epidemic Models with Variable Susceptibilities and Infectivities
The variable generalised stochastic epidemicmodel, which allows for variability in both the susceptibilities and infectivities of individuals, is analysed. A very different epidemic modelwhich exhibits variable susceptibility and infectivity is the random-graph epidemic model. A suitable coupling of the two epidemic models is derived which enables us to show that, whilst the epidemics are very ...
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