Stability Analysis of an ๐ฎโฐโ๐ฌโ Epidemic Model With Saturated Incidence Rate Using Fractal-fractional Order Techniques
Year: 2026
Type: article
Abstract: This study presents a fractional-order susceptible-exposed-infected-quarantine-recovered [Formula: see text] epidemic model to investigate the dynamics of infectious diseases under the influence of treatment strategies. The proposed model is analyzed to ensure the existence and uniqueness of non-negative and bounded solutions. We used the next-generation matrix approach to directly determine the fundamental reproduction number, [Formula: see text]. The model reveals the presence of a single endemic equilibrium, which is asymptotically stable when [Formula: see text], and a disease-free equilibrium that exists for all values of [Formula: see text] and is stable when [Formula: see text]. The theoretical results are substantiated by numerical simulations. To determine which parameters have the greatest effect on disease dynamics, we performed a global sensitivity analysis. Numerical simulations are implemented in MATLAB [Formula: see text], and the outcomes are visualized graphically to show the modelโs behavior under varying parameter scenarios.
Source: Fractals
Authors: IBAD ULLAH, MUKHTIAR KHAN, IMTAIZ AHMAD, NADEEM KHAN, AHMAD ALOQAILY, MARYAM ALI ALGHAFLI, NABIL MLAIKI
Language: English
Field: Medicine
Domain: Health Sciences
Open Access status: hybrid
OpenAlex ID: W7128820424