Minimizing cumulative infections in SIS epidemic models over networks via an edge deletion algorithm

Phi Dung Hoang; Khanh Ly Duong

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arXiv · 2606.30142

Minimizing cumulative infections in SIS epidemic models over networks via an edge deletion algorithm

Phi Dung Hoang·Khanh Ly Duong

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Abstract

In this paper, we investigate the discrete SIS (Susceptible-Infected-Susceptible) models. We focus on minimizing epidemic spreading over networks by extending an existing edge deletion algorithm to the SIS model. To achieve this, we employ the mean-field approximation to linearize the network dynamics into a deterministic SIS model. We analytically demonstrate that the total number of infections is upper-bounded by a super-modular function, thereby ensuring the efficiency of the edge-deletion approach. To evaluate the proposed method, we conduct experiments on synthetic Erdos-Renyi networks and the real-world dataset collected from BBC Pandemic Haslemere app. Numerical simulations validate our theoretical results, confirming that both configurations converge to the stable, disease-free equilibrium.

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Phi Dung Hoang, Khanh Ly Duong. 2026-06-29. Minimizing cumulative infections in SIS epidemic models over networks via an edge deletion algorithm. https://arxiv.org/abs/2606.30142

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