A robust study on 2019-nCOV outbreaks through non-singular derivative

MA Khan, S Ullah, S Kumar - The European Physical Journal Plus, 2021 - Springer
The new coronavirus disease is still a major panic for people all over the world. The world is
grappling with the second wave of this new pandemic. Different approaches are taken into …

Stability analysis of a non-singular fractional-order covid-19 model with nonlinear incidence and treatment rate

H Joshi, M Yavuz, S Townley, BK Jha - Physica Scripta, 2023 - iopscience.iop.org
In this paper, a non-singular SIR model with the Mittag-Leffler law is proposed. The
nonlinear Beddington-DeAngelis infection rate and Holling type II treatment rate are used …

[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 …

[PDF][PDF] A nonstandard finite difference scheme for a time-fractional model of Zika virus transmission

MH Maamar, M Ehrhardt, L Tabharit - … Biosciences and Engineering, 2024 - aimspress.com
In this work, we investigate the transmission dynamics of the Zika virus, considering both a
compartmental model involving humans and mosquitoes and an extended model that …

On Some Properties of the New Generalized Fractional Derivative with Non‐Singular Kernel

K Hattaf - Mathematical Problems in Engineering, 2021 - Wiley Online Library
This paper presents some new formulas and properties of the generalized fractional
derivative with non‐singular kernel that covers various types of fractional derivatives such as …

Stability of fractional differential equations with new generalized hattaf fractional derivative

K Hattaf - Mathematical Problems in Engineering, 2021 - Wiley Online Library
This paper aims to study the stability of fractional differential equations involving the new
generalized Hattaf fractional derivative which includes the most types of fractional …

Dynamic analysis and adaptive modified projective synchronization for systems with Atangana-Baleanu-Caputo derivative: A financial model with nonconstant …

X Lin, Y Wang, J Wang, W Zeng - Chaos, Solitons & Fractals, 2022 - Elsevier
The inherent instability of the financial system itself may lead to chaos and unpredictable
economic disorder. It is meaningful to study the stability and control theory of financial …

A survey on Lyapunov functions for epidemic compartmental models

N Cangiotti, M Capolli, M Sensi, S Sottile - Bollettino dell'Unione …, 2024 - Springer
In this survey, we propose an overview on Lyapunov functions for a variety of compartmental
models in epidemiology. We exhibit the most widely employed functions, and provide a …

Analysis of fractional-order nonlinear dynamic systems with general analytic kernels: Lyapunov stability and inequalities

O Martínez-Fuentes, F Meléndez-Vázquez… - Mathematics, 2021 - mdpi.com
In this paper, we study the recently proposed fractional-order operators with general analytic
kernels. The kernel of these operators is a locally uniformly convergent power series that …

Qualitative analysis of a mathematical model with presymptomatic individuals and two SARS-CoV-2 variants

G González-Parra, AJ Arenas - Computational and Applied Mathematics, 2021 - Springer
The SARS-CoV-2 continues to spread across the world. During this COVID-19 pandemic,
several variants of the SARS-CoV-2 have been found. Some of these new variants like the …