From: Metapopulation epidemic models with heterogeneous mixing and travel behaviour
Value used | ||
---|---|---|
in numerical | ||
Variable | Definition | simulations |
k | degree of a subpopulation, i.e. number of connectionsto other subpopulations | $[1;\sqrt{V}]$ |
P(k) = k^{-γ};γ | subpopulation degree distribution; power-law exponent | γ = 2.3,3 |
V;V_{ k } | total number of subpopulations; number of subpopulationswith degree k | V = 10^{4} |
average population of a node, population of a node; | ||
$\stackrel{\u0304}{N},{N}_{k}=\frac{\stackrel{\u0304}{N}{k}^{\varphi}}{\u3008{k}^{\varphi}\u3009};$ | with degree k | $\stackrel{\u0304}{N}=1{0}^{4}$ |
ϕ; | power-law exponent; | ϕ = 3/4 |
w _{0} | mobility scale | w_{0} = 0.05 |
number of travelers from a subpopulation with degree k_{ l } | ||
w_{ lm } = w_{0}(k_{ l }k_{ m })^{θ}; | to a subpopulation with degree k_{ m }; | |
θ | power-law exponent | θ = 0.5 |