ArticleScientific reports2026
Analysis of an SIR model: preventive measures, bounded multiplicative random perturbations and optimal control strategies.
Article in Scientific reports, 2026. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Not yet cited in PubMed.
What it found
Each row is one number read from the abstract, on the scale the paper reported it, with its interval. Left of the dashed line favours the treatment, right favours the comparator. Under each row is the sentence it came from. New to these charts? A ten-minute tutorial.
The abstract states no effect estimate the extractor could read, or names no intervention and outcome on the map, so this paper lights no cell and moves no belief. It is still indexed, cited and linked below.
The trial behind it
Trials whose registry record cites this paper, or whose number appears in the abstract. A trial that started after this paper was published is citing it as background, not reporting it.
Neither the registry nor the abstract names a trial number. If this is a trial report, that itself is worth knowing.
Who cites it
0 citing papers in PubMed.
No citing paper in PubMed yet.
Corrections and comments
PubMed lists nothing against this paper. Absence here is not a guarantee, only a check that was made.
Authors and funding
2 authors.
Funding
No grant is acknowledged in the PubMed record.
Abstract
In this paper, we study an SIR model with a nonlinear incidence rate [Formula: see text], which incorporates both a saturated incidence term and the exponential factor [Formula: see text], where μ denotes the mask-wearing rate. We derive the equilibria of the system and compute the basic reproduction number [Formula: see text]. We also investigate the local and global stability of the model equilibria. To account for environmental and behavioral variability, bounded multiplicative random perturbations are introduced into the transmission parameter [Formula: see text], and the resulting model is examined numerically under different perturbation intensities. In addition, we analyze the sensitivity of the basic reproduction number [Formula: see text]. Furthermore, Pontryagin's maximum principle is employed to determine the optimal levels of two control strategies, namely vaccination and treatment. Finally, numerical simulations are performed to illustrate the theoretical findings and support the conclusions.
Indexed as
Identifiers
What OpenQuestion holds
Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.