ArticleTheory in biosciences = Theorie in den Biowissenschaften2023
An epidemic dynamics model with limited isolation capacity.
Article in Theory in biosciences = Theorie in den Biowissenschaften, 2023. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 2 papers.
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Who cites it
2 citing papers in PubMed.
- Mathematical analysis and computation of a spatiotemporal SIQR model.Theory in biosciences = Theorie in den Biowissenschaften · 2025Article
- SIRI+Q model with a limited capacity of isolation.Theory in biosciences = Theorie in den Biowissenschaften · 2025Article
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2 authors.
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Abstract
We consider a modified SIR model with a four-dimensional system of ordinary differential equations to consider the influence of a limited isolation capacity on the final epidemic size defined as the total number of individuals who experienced the disease at the end of an epidemic season. We derive the necessary and sufficient condition that the isolation reaches the capacity in a finite time on the way of the epidemic process, and show that the final epidemic size is monotonically decreasing in terms of the isolation capacity. We find further that the final epidemic size could have a discontinuous change at the critical value of isolation capacity below which the isolation reaches the capacity in a finite time. Our results imply that the breakdown of isolation with a limited capacity would cause a drastic increase of the epidemic size. Insufficient capacity of the isolation could lead to an unexpectedly severe epidemic situation, while such a severity would be avoidable with the sufficient isolation capacity.
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