ArticleTheory in biosciences = Theorie in den Biowissenschaften2025
SIRI+Q model with a limited capacity of isolation.
Article in Theory in biosciences = Theorie in den Biowissenschaften, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 1 paper.
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1 citing paper in PubMed.
- Mathematical analysis and computation of a spatiotemporal SIQR model.Theory in biosciences = Theorie in den Biowissenschaften · 2025Article
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Abstract
We construct and analyze an SIRI+Q model with a piecewise smooth system of ordinary differential equations for the epidemic dynamics of a reinfectious disease, in which a limited capacity of isolation is incorporated. To consider the relation of the limited isolation capacity to the epidemic consequence, we derive the condition that the isolation reaches the capacity at finite time along the path of the epidemic process, and that the disease becomes endemic. We investigate in particular how the endemicity, the endemic size, or the final epidemic size could depend on the isolation capacity. From the obtained mathematical results, we find theoretical implications on the relevance of the isolation capacity and the difficulty of its measure to control the spread of the disease in the community.
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