The influence of quadratic Lévy noise on the dynamic of an SIC contagious illness model: New framework, critical comparison and an application to COVID-19 (SARS …

Y Sabbar, D Kiouach, SP Rajasekar… - Chaos, Solitons & …, 2022 - Elsevier
This study concentrates on the analysis of a stochastic SIC epidemic system with an
enhanced and general perturbation. Given the intricacy of some impulses caused by …

A case study of fractal-fractional tuberculosis model in China: Existence and stability theories along with numerical simulations

H Khan, K Alam, H Gulzar, S Etemad… - … and Computers in …, 2022 - Elsevier
In this article, a fractal-fractional order tuberculosis mathematical model is presented for the
existence results, numerical simulations and stability analysis. The model has six classes S …

[HTML][HTML] A robust study of a piecewise fractional order COVID-19 mathematical model

A Zeb, A Atangana, ZA Khan, S Djillali - Alexandria Engineering Journal, 2022 - Elsevier
In the current manuscript, we deal with the dynamics of a piecewise covid-19 mathematical
model with quarantine class and vaccination using SEIQR epidemic model. For this, we …

[HTML][HTML] On beta-time fractional biological population model with abundant solitary wave structures

KS Nisar, A Ciancio, KK Ali, MS Osman… - Alexandria Engineering …, 2022 - Elsevier
The ongoing study deals with various forms of solutions for the biological population model
with a novel beta-time derivative operators. This model is very conducive to explain the …

Bifurcation analysis of an age‐structured prey–predator model with infection developed in prey

S Bentout, S Djilali, A Atangana - Mathematical Methods in the …, 2022 - Wiley Online Library
In this work, we propose an age‐structured prey–predator model with infection developed in
the prey population. Our main goal is to distinguish the effect of the predator maturation …

[HTML][HTML] Global dynamics of SVIR epidemic model with distributed delay and imperfect vaccine

S Djilali, S Bentout - Results in Physics, 2021 - Elsevier
In this research, we investigate an SVIR system with distributed delay. We first provide some
preliminary results on the proprieties of the Volterra function and the well-posedness of the …

[HTML][HTML] Fractional modeling and optimal control analysis of rabies virus under the convex incidence rate

R Zarin, I Ahmed, P Kumam, A Zeb, A Din - Results in Physics, 2021 - Elsevier
In this article, deterministic and fractional properties of the epidemic model for rabies
considered with convex incidence rate are discussed. The dynamics are studied without …

Modeling and analysis of novel COVID-19 outbreak under fractal-fractional derivative in Caputo sense with power-law: a case study of Pakistan

KT Kubra, R Ali - Modeling Earth Systems and Environment, 2023 - Springer
In this paper, a five-compartment model is used to explore the dynamics of the COVID-19
pandemic, taking the vaccination campaign into account. The present model consists of five …

Bifurcations and dynamics of a discrete predator–prey model of ricker type

MY Hamada, T El-Azab, H El-Metwally - Journal of Applied Mathematics …, 2023 - Springer
A discrete-time predator–prey model is investigated in this paper. In considered model, the
population is assumed to follow the model suggested by Ricker 1954. Existence and stability …

Approximating the asymptomatic infectious cases of the COVID-19 disease in Algeria and India using a mathematical model

S Djilali, S Bentout, S Kumar… - International Journal of …, 2022 - World Scientific
In this research, we are interested in discussing the evolution of the COVID-19 infection
cases and predicting the spread of COVID-19 disease in Algeria and India. To this aim, we …