Dose-limited interventions in an epidemiological model
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866916020583661568 |
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| author | Abdramane, Annour Saad Djimramadji, Hippolyte Haggar, Mahamat Saleh Daoussa Djomegni, Patrick Mimphis Tchepmo Arino, Julien |
| author_facet | Abdramane, Annour Saad Djimramadji, Hippolyte Haggar, Mahamat Saleh Daoussa Djomegni, Patrick Mimphis Tchepmo Arino, Julien |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_17313 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Dose-limited interventions in an epidemiological model Abdramane, Annour Saad Djimramadji, Hippolyte Haggar, Mahamat Saleh Daoussa Djomegni, Patrick Mimphis Tchepmo Arino, Julien Populations and Evolution 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. |
| title | Dose-limited interventions in an epidemiological model |
| topic | Populations and Evolution |
| url | https://arxiv.org/abs/2605.17313 |