On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative

MS Abdo, K Shah, HA Wahash, SK Panchal - Chaos, Solitons & Fractals, 2020 - Elsevier
The major purpose of the presented study is to analyze and find the solution for the model of
nonlinear fractional differential equations (FDEs) describing the deadly and most parlous …

Dynamical analysis, infections in plants, and preventive policies utilizing the theory of fractional calculus

A Jan, S Boulaaras, FA Abdullah, R Jan - The European Physical Journal …, 2023 - Springer
Farmers are trying to adopt new cultivation methods and technologies to produce more and
good yield. Low productivity is due to a variety of factors; one of the main reasons is the …

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 …

Analysis of the dynamics of a vector-borne infection with the effect of imperfect vaccination from a fractional perspective

TQ Tang, R Jan, A Khurshaid, Z Shah, N Vrinceanu… - Scientific Reports, 2023 - nature.com
The burden of vector-borne infections is significant, particularly in low-and middle-income
countries where vector populations are high and healthcare infrastructure may be …

Modeling the dynamics of tumor–immune cells interactions via fractional calculus

TQ Tang, Z Shah, R Jan, E Alzahrani - The European Physical Journal …, 2022 - Springer
The immune response in the tumor micro-environment is a complicated biological
phenomenon that needs to be investigated further. It is eminent that tumor is murderous and …

Mathematical modeling and stability analysis of the dynamics of monkeypox via fractional-calculus

R Alharbi, R Jan, S Alyobi, Y Altayeb, Z Khan - Fractals, 2022 - World Scientific
In this research work, we offer an epidemic model for monkeypox virus infection with the
help of non-integer derivative as well as classical ones. The model takes into account every …

Qualitative analysis of the transmission dynamics of dengue with the effect of memory, reinfection, and vaccination

TQ Tang, R Jan, E Bonyah, Z Shah… - … Methods in Medicine, 2022 - Wiley Online Library
Dengue fever has a huge impact on people's physical, social, and economic lives in low‐
income locations worldwide. Researchers use epidemic models to better understand the …

[HTML][HTML] Mathematical Modeling of Malaria Epidemic Dynamics with Enlightenment and Therapy Intervention Using the Laplace-Adomian Decomposition Method and …

AO Yunus, MO Olayiwola - Franklin Open, 2024 - Elsevier
This paper examines malaria, a prevalent mosquito-borne disease in Africa that causes
fever, chills, and headaches. Diagnosis involves blood tests, and treatment primarily relies …

Study on the stability and its simulation algorithm of a nonlinear impulsive ABC-fractional coupled system with a Laplacian operator via F-contractive map**

K Zhao - Advances in Continuous and Discrete Models, 2024 - Springer
In this paper, we study the solvability and generalized Ulam–Hyers (UH) stability of a
nonlinear Atangana–Baleanu–Caputo (ABC) fractional coupled system with a Laplacian …

Existence theory and numerical analysis of three species prey–predator model under Mittag-Leffler power law

MS Abdo, SK Panchal, K Shah… - Advances in Difference …, 2020 - Springer
In this manuscript, the fractional Atangana–Baleanu–Caputo model of prey and predator is
studied theoretically and numerically. The existence and Ulam–Hyers stability results are …