Mathematical models of SIR disease spread with combined non-sexual and sexual transmission routes

2017/01/11 by Joel C. Miller · 2 citations
Mathematics · Medicine · Physics and Astronomy · #COVID-19 epidemiological studies #Viral Infections and Outbreaks Research #Complex Network Analysis Techniques

paper · doi:10.1016/j.idm.2016.12.003

openalex publication_date 2017/01/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/22

Abstract

The emergence of Zika and Ebola demonstrates the importance of understanding the role of sexual transmission in the spread of diseases with a primarily non-sexual transmission route. In this paper, we develop low-dimensional models for how an SIR disease will spread if it transmits through a sexual contact network and some other transmission mechanism, such as direct contact or vectors. We show that the models derived accurately predict the dynamics of simulations in the large population limit, and investigate ℛ0 and final size relations.

Citations

• Spread of epidemic disease on networks
• A Note on the Derivation of Epidemic Final Sizes
• On the definition and the computation of the basic reproduction ratio R 0 in models for infectious diseases in heterogeneous populations
• The construction of next-generation matrices for compartmental epidemic models
• A contribution to the mathematical theory of epidemics
• The Structure and Function of Complex Networks

Cited by

• Data-Driven Computational Social Science: A Survey
• Compartmental models (epidemiology) [wikipedia]

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