ArticleScientific reports2026
Numerical and transcritical bifurcation analysis of Chikungunya dynamics within a fractional-fractal framework.
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
1 author.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Chikungunya is a mosquito-borne viral infection that remains a serious public health problem because of its rapid transmission and long-term clinical implications. Classical models based on integer-order derivatives are effective in describing the basic mechanisms of transmission, but do not consider the memory effects and temporal heterogeneity seen in actual epidemic processes. This study introduces a modified fractional-fractal mathematical model that combines fractional derivatives, representing nonlocal memory, and fractal time, representing scale-related temporal irregularities, to overcome these drawbacks. The fundamental properties, including the positivity and boundedness of solutions, are established. Equilibrium points are derived, and the basic reproduction number is calculated using the next-generation matrix approach. Local stability of the equilibrium states is carried out, and a formal transcritical bifurcation analysis is performed to study the stability switch at the threshold. A numerical scheme is developed based on the Adams-Bashforth-Moulton method to support the theoretical results. Numerical simulations including 3D phase portraits show the effect of the parameters of fractional and fractal models on the dynamics of the disease and distinctions from with classical models. The results suggest that fractional-fractal models are more flexible representations of Chikungunya transmission, and could help elucidate the complex dynamics of epidemics and inform control efforts.
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.