3.8 Article

Simulation and numerical solution of fractional order Ebola virus model with novel technique

Journal

AIMS BIOENGINEERING
Volume 7, Issue 4, Pages 194-207

Publisher

AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/bioeng.2020017

Keywords

Caputo derivative; fractional-order Ebola model; sensitivity analysis; existence and uniqueness

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In this paper, nonlinear fractional order Ebola virus mathematical model is discussed for the complex transmission of the epidemic problems. We developed the fractional order Ebola virus transmission model for the treatment and control to reduce its e ffect on a population which play an important role for public health. Qualitative analysis has been made to verify the the steady state and uniqueness of the system is also developed for reliable results. Caputo fractional derivative operator phi(i) is an element of (0, 1] works to achieve the fractional di fferential equations. Laplace with Adomian Decomposition Method successfully solved the fractional di fferential equations. Ultimately, numerical simulations are also developed to evaluate the e ffects of the device parameter on spread of disease and e ffect of fractional parameter phi(i) on obtained solution which can also be assessed by tabulated results.

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