### AIMS Bioengineering

2020, Issue 4: 194-207. doi: 10.3934/bioeng.2020017
Research article

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

• 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 ϕi ∈ (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 ϕi on obtained solution which can also be assessed by tabulated results.

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

### Related Papers:

• 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 ϕi ∈ (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 ϕi 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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沈阳化工大学材料科学与工程学院 沈阳 110142

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