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

Ali Raza; Muhammad Farman; Ali Akgül; Muhammad Sajid Iqbal; Aqeel Ahmad; Ali Raza; Muhammad Farman; Ali Akgül; Muhammad Sajid Iqbal; Aqeel Ahmad

doi:10.3934/bioeng.2020017

AIMS Bioengineering

2020, Volume 7, Issue 4: 194-207. doi: 10.3934/bioeng.2020017

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Research article

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

1.
Department of Mathematics and statistics, University of Lahore, Lahore-54590, Pakistan
2.
Art and Science Faculty, Department of Mathematics, Siirt University, 56100 Siirt, Turkey

Received: 07 May 2020 Accepted: 03 July 2020 Published: 06 July 2020

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 effect 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 ϕ_i ∈ (0,1] works to achieve the fractional differential equations. Laplace with Adomian Decomposition Methodsuccessfully solved the fractional differential equations. Ultimately, numerical simulations are also developed to evaluate the effects of the device parameter on spread of disease and effect of fractional parameter ϕ_i on obtained solution which can also be assessed by tabulated results.
- Caputo derivative,
- fractional-order Ebola model,
- sensitivity analysis,
- existence and uniqueness
Citation: Ali Raza, Muhammad Farman, Ali Akgül, Muhammad Sajid Iqbal, Aqeel Ahmad. Simulation and numerical solution of fractional order Ebola virus model with novel technique[J]. AIMS Bioengineering, 2020, 7(4): 194-207. doi: 10.3934/bioeng.2020017

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Abstract

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 effect 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 ϕ_i ∈ (0,1] works to achieve the fractional differential equations. Laplace with Adomian Decomposition Methodsuccessfully solved the fractional differential equations. Ultimately, numerical simulations are also developed to evaluate the effects of the device parameter on spread of disease and effect of fractional parameter ϕ_i on obtained solution which can also be assessed by tabulated results.

Conflict of interest

The authors declare no conflict of interest.

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