1. Alternative SIAR models for infectious diseases and applications in the study of non-compliance
- Author
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Bongarti, Marcelo, Galvan, Luke Diego, Hatcher, Lawford, Lindstrom, Michael R, Parkinson, Christian, Wang, Chuntian, and Bertozzi, Andrea L
- Subjects
compartmental models ,Infectious Diseases ,Good Health and Well Being ,Numerical and Computational Mathematics ,Clinical Research ,Applied Mathematics ,Modeling and Simulation ,Infection ,stability analysis ,non-compliant behavior ,Epidemic models - Abstract
In this paper, we use modified versions of the SIAR model for epidemics to propose two ways of understanding and quantifying the effect of non-compliance to non-pharmaceutical intervention measures on the spread of an infectious disease. The SIAR model distinguishes between symptomatic infected (I) and asymptomatic infected (A) populations. One modification, which is simpler, assumes a known proportion of the population does not comply with government mandates such as quarantining and social-distancing. In a more sophisticated approach, the modified model treats non-compliant behavior as a social contagion. We theoretically explore different scenarios such as the occurrence of multiple waves of infections. Local and asymptotic analyses for both models are also provided.
- Published
- 2022