ArticleRoyal Society open science2022
Modelling of spatial infection spread through heterogeneous population: from lattice to partial differential equation models.
Article in Royal Society open science, 2022. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 3 papers.
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Who cites it
3 citing papers in PubMed.
- One-shot learning for solution operators of partial differential equations.Nature communications · 2025Article
- Spatiotemporal analysis of the re-emerging foot and mouth disease outbreak in Central Java, Indonesia.Open veterinary journal · 2025Article
- Mathematical Modelling of the Spatial Distribution of a COVID-19 Outbreak with Vaccination Using Diffusion Equation.Pathogens (Basel, Switzerland) · 2023Article
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Authors and funding
3 authors.
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Abstract
We present a simple model for the spread of an infection that incorporates spatial variability in population density. Starting from first-principle considerations, we explore how a novel partial differential equation with state-dependent diffusion can be obtained. This model exhibits higher infection rates in the areas of higher population density-a feature that we argue to be consistent with epidemiological observations. The model also exhibits an infection wave, the speed of which varies with population density. In addition, we demonstrate the possibility that an infection can 'jump' (i.e. tunnel) across areas of low population density towards areas of high population density. We briefly touch upon the data reported for coronavirus spread in the Canadian province of Nova Scotia as a case example with a number of qualitatively similar features as our model. Lastly, we propose a number of generalizations of the model towards future studies.
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