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Epidemic cycling in a multi-strain SIRS epidemic network model
1Department of Statistics, Modelling and Economics, Centre for Infectious Disease Surveillance and Control, Public Health England, 61 Colindale Avenue, London, NW9 5EQ, UK. xu-sheng.zhang@phe.gov.uk.
Multiple infectious disease strains circulating within a social network can cause epidemic cycling. This network model explains disease patterns better than previous single-strain or mass-action models.
Area of Science:
- Epidemiology
- Mathematical Biology
- Network Science
Background:
- Infectious diseases caused by multi-strain pathogens often exhibit oscillating incidence and strain proportions, known as epidemic cycling.
- Existing models for epidemic cycling have not fully integrated the impact of social contact networks and multi-strain pathogen dynamics.
Purpose of the Study:
- To investigate how social contact network structure influences epidemic cycling in multi-strain infectious diseases.
- To explore the combined effects of network structure and inter-strain interactions on disease dynamics.
Main Methods:
- A two-strain epidemic model was developed for a random contact network with a fixed number of contacts per individual.
- The standard pair approximation method was employed to analyze the dynamics of infection states and contact pairs.
Main Results:
- Spatial correlation within the contact network, coupled with ecological interference and immune responses between strains, generates epidemic cycling.
- The two-strain model demonstrates epidemic cycling across a broader parameter range compared to single-strain models, aligning with many real-world infectious diseases.
Conclusions:
- The co-circulation of multiple pathogen strains within a structured contact network is a key factor explaining epidemic cycling.
- This network-based approach offers a more comprehensive understanding of infectious disease dynamics.
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