[HTML][HTML] Numerical dynamics and fractional modeling of hepatitis B virus model with non-singular and non-local kernels

P Liu, A Din, R Zarin - Results in Physics, 2022 - Elsevier
A fractional model for the transmission dynamics of Hepatitis B was designed. Hepatitis B
disease has a great impact on global human health conditions and economical systems …

Modeling and analysis using piecewise hybrid fractional operator in time scale measure for ebola virus epidemics under Mittag–Leffler kernel

PA Naik, M Farman, K Jamil, KS Nisar, MA Hashmi… - Scientific Reports, 2024 - nature.com
This emerging infectious disease poses one of the most severe threats to public health in
these locations, but there are not many reliable therapies yet. In this work, we developed the …

[HTML][HTML] A vigorous study of fractional order mathematical model for SARS-CoV-2 epidemic with Mittag-Leffler kernel

YM Chu, R Zarin, A Khan, S Murtaza - Alexandria Engineering Journal, 2023 - Elsevier
SARS-CoV-2 and its variants have been investigated using a variety of mathematical
models. In contrast to multi-strain models, SARS-CoV-2 models exhibit a memory effect that …

[HTML][HTML] Mathematical analysis of a new nonlinear dengue epidemic model via deterministic and fractional approach

Y Gu, M Khan, R Zarin, A Khan, A Yusuf… - Alexandria Engineering …, 2023 - Elsevier
We developed a dengue epidemic model by considering hospitalized class and harmonic
mean incidence rate. A qualitative study of the proposed model was conducted. The Basic …

A Study on Dynamics of CD4+ T-Cells under the Effect of HIV-1 Infection Based on a Mathematical Fractal-Fractional Model via the Adams-Bashforth Scheme and …

H Najafi, S Etemad, N Patanarapeelert, JKK Asamoah… - Mathematics, 2022 - mdpi.com
In recent decades, AIDS has been one of the main challenges facing the medical community
around the world. Due to the large human deaths of this disease, researchers have tried to …

Fractional order cancer model infection in human with CD8+ T cells and anti-PD-L1 therapy: simulations and control strategy

KS Nisar, MO Kulachi, A Ahmad, M Farman, M Saqib… - Scientific Reports, 2024 - nature.com
In order to comprehend the dynamics of disease propagation within a society, mathematical
formulations are essential. The purpose of this work is to investigate the diagnosis and …

A numerical study based on haar wavelet collocation methods of fractional-order antidotal computer virus model

R Zarin, H Khaliq, A Khan, I Ahmed, UW Humphries - Symmetry, 2023 - mdpi.com
Computer networks can be alerted to possible viruses by using kill signals, which reduces
the risk of virus spreading. To analyze the effect of kill signal nodes on virus propagation, we …

Modeling and numerical analysis of fractional order hepatitis B virus model with harmonic mean type incidence rate

R Zarin - Computer Methods in Biomechanics and Biomedical …, 2023 - Taylor & Francis
A mathematical epidemiological model for the transmission of Hepatitis B virus in the frame
of fractional derivative with harmonic mean type incidence rate is proposed in this article …

[HTML][HTML] A theoretical and numerical analysis of a fractal–fractional two-strain model of meningitis

S Rezapour, JKK Asamoah, A Hussain, H Ahmad… - Results in Physics, 2022 - Elsevier
Meningitis is an inflammation of the membranes that surround and protect the brain and
spinal cord. Typically, the enlargement is caused by a bacterial or viral infection of the fluid …

Deterministic and fractional analysis of a newly developed dengue epidemic model

R Zarin, M Khan, A Khan, A Yusuf - Waves in Random and …, 2023 - Taylor & Francis
This paper presents a new non-linear dengue epidemiological model with a new type of
incidence rate called convex incidence rate. A qualitative study of the proposed model was …