Failure of monotonicity in epidemic models

2020/04/30 by Maria Chikina, Chikina, Maria, Wesley Pegden +1
Mathematics · Medicine · #Advanced Causal Inference Techniques #COVID-19 epidemiological studies #FOS: Biological sciences #Mathematical and Theoretical Epidemiology and Ecology Models #Populations and Evolution (q-bio.PE)

paper · pdf · doi:10.48550/arxiv.2004.15018

openalex publication_date 2020/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We discuss the failure of monotonicity properties for even simple compartmental epidemic models, for the case where transmission rates are non-constant. We also identify a special case in which monotonicity holds.

Related

• A note on monotonicity of spatial epidemic models
• Monotonic and Non-Monotonic Epidemiological Models on Networks
• On a vector-host epidemic model with spatial structure
• A monotonic relationship between the variability of the infectious\n period and final size in pairwise epidemic modelling
• Convergence of Bi-Virus Epidemic Models with Non-Linear Rates on Networks -- A Monotone Dynamical Systems Approach