Alternative SIAR models for infectious diseases and applications in the study of non-compliance. (English) Zbl 1519.92242
This paper studies alternative SIAR models for infectious diseases and applications in the study of non-compliance. Two new models are introduced, which take distinct routes to incorporate non-compliant populations affecting disease spread. The first one assumes that individuals have a given probability of being compliant to lockdown measures and the second one treats a given behavior as an epidemic with those partaking in the behavior infecting others and causing them to behave accordingly. The stability and equilibria are studied in the paper showing that knowledge of the models’ basic reproduction numbers provide good local and long-time properties. The herd immunity thresholds for the models are also investigated.
Reviewer: Yilun Shang (Newcastle upon Tyne)
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