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Updated: Dec 11, 2025

Modeling The Lifecycle Of Ebola Virus Under Biosafety Level 2 Conditions With Virus-like Particles Containing Tetracistronic Minigenomes
Published on: September 27, 2014
An efficient spectral collocation method for the dynamic simulation of the fractional epidemiological model of the
H M Srivastava1,2,3, Khaled M Saad4,5, M M Khader6,7
1Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada.
Abstract:
This article investigates a family of approximate solutions for the fractional model (in the Liouville-Caputo sense) of the Ebola virus via an accurate numerical procedure (Chebyshev spectral collocation method). We reduce the proposed epidemiological model to a system of algebraic equations with the help of the properties of the Chebyshev polynomials of the third kind. Some theorems about the convergence analysis and the existence-uniqueness solution are stated. Finally, some numerical simulations are presented for different values of the fractional-order and the other parameters involved in the coefficients. We also note that we can apply the proposed method to solve other models.
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