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Dose-limited interventions in an epidemiological model

Year: 2026

Type: preprint

Abstract: We consider an SLIARS mathematical epidemiology model including intervention in the form of vaccination and treatment. Contrary to classical models, it is assumed that treatment doses can be limited in availability. Mathematically, we show that most scenarios actually reduce to classic well-known scenarios: having an unreplenished number of doses is akin to having none, while being able to restore stocks is (often) equivalent to the classic situation with vaccination and treatment. We also perform a computational analysis, illustrating some of the transient and stochastic dynamics that diverge from deterministic long-term behaviour, as well as the impact of budgetary constraints.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2605.17313

Authors: Abdramane, Annour Saad, Djimramadji, Hippolyte, Haggar, Mahamat Saleh Daoussa, Djomegni, Patrick Mimphis Tchepmo, Arino, Julien

Institutions: University of N'Djamena, Statistical Research (United States), University of Manitoba

Topic: Mathematical and Theoretical Epidemiology and Ecology Models

Subfield: Public Health, Environmental and Occupational Health

Field: Medicine

Domain: Health Sciences

SDG: Good health and well-being

Open Access status: green

OpenAlex ID: W7161706053

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