[HTML][HTML] A predator–prey model with additive Allee effect and intraspecific competition on predator involving Atangana–Baleanu–Caputo derivative

N Anggriani, HS Panigoro, E Rahmi, OJ Peter, SA Jose - Results in Physics, 2023 - Elsevier
A mathematical model of an interaction between two populations namely prey and predator
is studied based on a Gause-type predator–prey model involving the additive Allee effect …

[HTML][HTML] The fractal-fractional Atangana-Baleanu operator for pneumonia disease: stability, statistical and numerical analyses

N Almutairi, S Saber, H Ahmad - AIMS Mathematics, 2023 - aimspress.com
The present paper studies pneumonia transmission dynamics by using fractal-fractional
operators in the Atangana-Baleanu sense. Our model predicts pneumonia transmission …

Investigation and application of a classical piecewise hybrid with a fractional derivative for the epidemic model: Dynamical transmission and modeling

MU Saleem, M Farman, KS Nisar, A Ahmad, Z Munir… - Plos one, 2024 - journals.plos.org
In this research, we developed an epidemic model with a combination of Atangana-Baleanu
Caputo derivative and classical operators for the hybrid operator's memory effects, allowing …

[HTML][HTML] Fractional stochastic modelling of monkeypox dynamics

E Bonyah, HS Panigoro, E Rahmi, ML Juga - Results in Control and …, 2023 - Elsevier
Monkeypox virus is primarily transferred to humans via wild animals including rodents and
more often the transmission ensues between humans to humans. This disease has been …

A generalized fractional hepatitis B virus infection model with both cell-to-cell and virus-to-cell transmissions

Z Yaagoub, M Sadki, K Allali - Nonlinear Dynamics, 2024 - Springer
In this paper, we suggest a generalized fractional hepatitis B viral infection model with two
modes of transmission that are cell-to-cell and virus-to-cell. These two modes of …

[HTML][HTML] Quantitative modeling of monkeypox viral transmission using Caputo fractional variational iteration method

M Manivel, A Venkatesh, KA Kumar, MP Raj… - … Differential Equations in …, 2024 - Elsevier
The present work investigates a novel time-fractional model for monkeypox using the
Caputo fractional operator, with a focus on vaccinated, quarantined, and hospitalized …

Computational dynamics of a fractional order model of chickenpox spread in Phuket province

SA Jose, Z Yaagoub, D Joseph… - … Signal Processing and …, 2024 - Elsevier
In this investigation, a distinctive chickenpox model incorporating the Caputo fractional
derivative is introduced. Equilibrium points and the fundamental reproduction number of the …

[PDF][PDF] Semi-analytical solutions for time-fractional Fisher equations via new iterative method

SA Tarate, AP Bhadane, SB Gaikwad… - Baghdad Science …, 2024 - iasj.net
An effective method for resolving non-linear partial differential equations with fractional
derivatives is the New Sumudu Transform Iterative Method (NSTIM). It excels at solving …

Fractional derivative model in COVID-19 dynamics: application to symptom severity and hospital resource allocation in South Korea

FF Herdicho, SA Jose, A Jirawattanapanit… - Journal of Applied …, 2025 - Springer
Abstract COVID-19, caused by SARS-CoV-2, has profoundly affected societies worldwide.
The high number of cases, along with its widespread effects on health systems, economies …

Control strategies for fractional order soil micro plastic pollution model and preserving nutrient cycle integrity

P Priya, A Sabarmathi - Multiscale and Multidisciplinary Modeling …, 2024 - Springer
Microplastic pollution presents a formidable challenge to agricultural ecosystems, imperiling
soil quality and fertility with far-reaching implications. In this study, we pioneer an innovative …