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In this paper we provide the derivation of a super compact pairwise modelwith only 4 equations in the context of describingsusceptible-infected-susceptible (SIS) epidemic dynamics on heterogenousnetworks. The super compact model is based on a new closure relation thatinvolves not only the average degree but also the second and third moments ofthe degree distribution. Its derivation uses an a priori approximation of thedegree distribution of susceptible nodes in terms of the degree distribution ofthe network. The new closure gives excellent agreement with heterogeneouspairwise models that contain significantly more differential equations.

Super compact pairwise model for SIS epidemic on heterogeneous networks