Kundan Kandhway
ABSTRACT
We modify the degree based compartmental model for the susceptible-infected (SI) epidemic spreading on a heterogeneous human contact network. The proposed model is based on the observation that state variables for similar degree classes evolve in a similar manner in the standard model. Thus, similar degree classes are grouped together and a single ODE is employed for all the degree classes in that group. We have evaluated the proposed model on three different networks. The results show that even for a moderate number of groups, the relative error compared to the original degree based compartmental model is small. Additionally, we achieve up to a six fold reduction in the number of ODEs required for modeling. This framework is useful in reducing computation times in applications such as optimal control of epidemics where ODEs modeling the epidemics need to be numerically solved multiple times to compute the solution.
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Index Terms
- Susceptible-Infected Epidemics on Human Contact Networks
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