ArticleInfectious Disease Modelling2021
A spatial epidemic model with a moving boundary.
Article in Infectious Disease Modelling, 2021. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 6 papers.
What it found
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Who cites it
6 citing papers in PubMed.
- A mathematical model examining the role of self-treated individuals in the geographical spread of COVID-19.BMC infectious diseases · 2026Article
- Catching a wave: On the suitability of traveling-wave solutions in epidemiological modeling.Theoretical population biology · 2025Article
- A novel approach to forecasting reproduction numbers of spatiotemporal stochastic epidemic spread using a PDE-based model and real-time infection data.Scientific reports · 2025Article
- Duration of transients in outbreaks: when can infectiousness be estimated?Journal of mathematical biology · 2024Article
- A two-phase fluid model for epidemic flow.Infectious Disease Modelling · 2023Article
- Modeling Effects of Spatial Heterogeneities and Layered Exposure Interventions on the Spread of COVID-19 across New Jersey.International journal of environmental research and public health · 2021Article
Corrections and comments
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Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
We present a new mathematical model to investigate the spatial spread of an infectious disease. The model consists of a nonlinear PDE system with an unknown velocity field, defined on an epidemic domain that changes with time. The moving boundary of the domain represents the wavefront of the epidemic. We conduct an equilibrium analysis to the simplified models represented by ODE systems. We also perform a numerical study on the original PDE system for a range of scenarios, including one under a realistic epidemic setting.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.