A Detailed Study of a Fractal‐Fractional Transmission Dynamical Model of Viral Infectious Disease with Vaccination

K Shah, M Sinan, T Abdeljawad, MA El-Shorbagy… - …, 2022 - Wiley Online Library
This article is devoted to investigate a mathematical model consisting on susceptible,
exposed, infected, quarantined, vaccinated, and recovered compartments of COVID‐19. The …

Fractional multi-step differential transformed method for approximating a fractional stochastic SIS epidemic model with imperfect vaccination

S Abuasad, A Yildirim, I Hashim… - International journal of …, 2019 - mdpi.com
In this paper, we applied a fractional multi-step differential transformed method, which is a
generalization of the multi-step differential transformed method, to find approximate …

A robust study on fractional order HIV/AIDS model by using numerical methods

T Roshan, S Ghosh, RP Chauhan… - Engineering …, 2023 - emerald.com
Purpose The fractional order HIV model has an important role in biological science. To study
the HIV model in a better way, the model is presented with the help of Atangana-Baleanu …

Euler's numerical method on fractional DSEK model under ABC derivative

FS Khan, M Khalid, O Bazighifan, A El-Mesady - Complexity, 2022 - Wiley Online Library
In this paper, DSEK model with fractional derivatives of the Atangana‐Baleanu Caputo
(ABC) is proposed. This paper gives a brief overview of the ABC fractional derivative and its …

[PDF][PDF] A fractional variable order model of COVID-19 Pandemic

N Sweilam, M Khalil, A Sayed - Progress in Fractional …, 2022 - naturalspublishing.com
2020 has witnessed a rapidly spread pandemic COVID-19 which is one of the worst in the
history of mankind. Scientists believe that COVID-19 spreads mainly from a person to …

Dynamics in a reaction-diffusion epidemic model via environmental driven infection in heterogenous space

N Wang, L Zhang, Z Teng - Journal of Biological Dynamics, 2022 - Taylor & Francis
In this paper, a reaction-diffusion SIR epidemic model via environmental driven infection in
heterogeneous space is proposed. To reflect the prevention and control measures of …

[PDF][PDF] On a fractional variable-order model of MERS-CoV

M Khalil, A Arafa, A Sayed - Nat. Sci. Publ., 2023 - naturalspublishing.com
In this paper, a non-integer variable-order epidemiological model is presented to study the
human-to-human transmission of Middle East respiratory syndrome coronavirus (MERS …

An Investigation on analytical properties of delayed fractional order HIV model: a case study

M Pitchaimani, A Saranya Devi - Математическая биология и …, 2021 - mathnet.ru
In this manuscript, we design a fractional order delay differential equation model for HIV
transmission with the implementation of three distinct therapies for three different infectious …

[PDF][PDF] Research Article Euler's Numerical Method on Fractional DSEK Model under ABC Derivative

FS Khan, M Khalid, O Bazighifan, A El-Mesady - 2022 - academia.edu
In this paper, DSEK model with fractional derivatives of the Atangana-Baleanu Caputo
(ABC) is proposed. is paper gives a brief overview of the ABC fractional derivative and its …

Fractional order COVID 19 pandemic model in Morocco: Dynamical analysis and Numerical simulation

AM Elsayed, IM Hanafy, AA Arafa… - Alfarama Journal of …, 2022 - ajbas.journals.ekb.eg
In this paper, we introduce fractional order COVID-19 model in Morocco. We analyse model
by calculating reproductive ratio R_0, finding free disease equilibrium point and studying …