Alternative SIAR models for infectious diseases and applications in the study of non-compliance

Authors

Marcelo Bongarti
Luke Diego Galvan
Lawford Hatcher
Michael R. Lindstrom, The University of Texas Rio Grande ValleyFollow
Christian Parkinson
Chuntian Wang
Andrea L. Bertozzi

Document Type

Article

Publication Date

11-4-2022

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.

Comments

Original published version available at https://doi.org/10.1142/S0218202522500464

Recommended Citation

Bongarti, Marcelo, Luke Diego Galvan, Lawford Hatcher, Michael R. Lindstrom, Christian Parkinson, Chuntian Wang, and Andrea L. Bertozzi. "Alternative SIAR models for infectious diseases and applications in the study of non-compliance." Mathematical Models and Methods in Applied Sciences 32, no. 10 (2022): 1987-2015. https://doi.org/10.1142/S0218202522500464

Publication Title

Mathematical Models and Methods in Applied Sciences

DOI

10.1142/S0218202522500464