ArticleScientific reports2026
A fractional SEIVRB model for aquatic diseases dynamics with stability analysis and numerical solution.
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.
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Abstract
This research presents a fractional epidemiological model utilizing the standard incidence rate to characterize the transmission dynamics of aquatic infectious diseases like cholera. The framework incorporates a vaccinated compartment to assess preventive measures. We analytically derive both disease-free and endemic equilibrium states and compute the basic reproduction number. The human population is modeled as a time-dependent variable, and we construct a positively invariant domain for the solution space, demonstrating boundedness and nonnegativity of solutions. For the disease-free equilibrium, local asymptotic stability is verified through the Routh–Hurwitz criterion, while global stability is established using Lyapunov direct method. For the endemic equilibrium, global asymptotic stability is proven through a direct Lyapunov approach. In order to thoroughly test the proposed fractional model, real data was incorporated in the numerical simulation phase. Numerical simulation employs a computational scheme utilizing the piecewise Chebyshev cardinal functions, reducing the fractional system to an algebraic problem.
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