A fractal–fractional-order modified Predator–Prey mathematical model with immigrations

Z Ali, F Rabiei, K Hosseini - Mathematics and Computers in Simulation, 2023 - Elsevier
This manuscript aims to study a modified predator–prey model's existence, stability, and
dynamics under the newly developed fractal–fractional order operator in the Caputo …

[HTML][HTML] Qualitative analysis of fractal-fractional order COVID-19 mathematical model with case study of Wuhan

Z Ali, F Rabiei, K Shah, T Khodadadi - Alexandria Engineering Journal, 2021 - Elsevier
In this manuscript, a qualitative analysis of the mathematical model of novel coronavirus
(COVID-19) involving anew devised fractal-fractional operator in the Caputo sense having …

[HTML][HTML] Haar wavelet collocation approach for the solution of fractional order COVID-19 model using Caputo derivative

K Shah, ZA Khan, A Ali, R Amin, H Khan… - Alexandria Engineering …, 2020 - Elsevier
This article is devoted to study a compartmental mathematical model for the transmission
dynamics of the novel Coronavirus-19 under Caputo fractional order derivative. By using …

[HTML][HTML] On a new conceptual mathematical model dealing the current novel coronavirus-19 infectious disease

A Din, K Shah, A Seadawy, H Alrabaiah, D Baleanu - Results in Physics, 2020 - Elsevier
The present paper describes a three compartment mathematical model to study the
transmission of the current infection due to the novel coronavirus (2019-nCoV or COVID-19) …

Fractal-fractional order dynamical behavior of an HIV/AIDS epidemic mathematical model

Z Ali, F Rabiei, K Shah, T Khodadadi - The European Physical Journal …, 2021 - Springer
In this manuscript, an HIV/AIDS epidemic model including five compartments of S,\; I,\; A,\;
TS, I, A, T and RR is proposed under fractal-fractional-order derivative. The existence theory …

Modeling and analysis of novel COVID-19 under fractal-fractional derivative with case study of Malaysia

Z Ali, F Rabiei, K Shah, T Khodadadi - Fractals, 2021 - World Scientific
In this paper, new model on novel coronavirus disease (COVID-19) with four compartments
including susceptible, exposed, infected, and recovered class with fractal-fractional …

[PDF][PDF] Existence, uniqueness, and stability of a nonlinear tripled fractional order differential system

YA Madani, MNA Rabih, FA Alqarni, Z Ali… - Fractal and …, 2024 - researchgate.net
This manuscript investigates the existence, uniqueness, and different forms of Ulam stability
for a system of three coupled differential equations involving the Riemann–Liouville (RL) …

Hybrid method for simulation of a fractional COVID-19 model with real case application

A Din, A Khan, A Zeb, MR Sidi Ammi, M Tilioua… - Axioms, 2021 - mdpi.com
In this research, we provide a mathematical analysis for the novel coronavirus responsible
for COVID-19, which continues to be a big source of threat for humanity. Our fractional-order …

On modeling of coronavirus-19 disease under Mittag-Leffler power law

S Bushnaq, K Shah, H Alrabaiah - Advances in Difference Equations, 2020 - Springer
This paper investigates a new model on coronavirus-19 disease (COVID-19) with three
compartments including susceptible, infected, and recovered class under Mittag-Leffler type …

Fractional forward Kolmogorov equations in population genetics

S Mashayekhi - Communications in Nonlinear Science and Numerical …, 2023 - Elsevier
This paper combines theoretical development and numerical methods to characterize the
effect of heterogeneity in population genetics. To address heterogeneity in population …