[HTML][HTML] Dynamical behaviours and stability analysis of a generalized fractional model with a real case study

D Baleanu, S Arshad, A Jajarmi, W Shokat… - Journal of Advanced …, 2023 - Elsevier
Introduction Mathematical modelling is a rapidly expanding field that offers new and
interesting opportunities for both mathematicians and biologists. Concerning COVID-19, this …

Analysis of SIQR type mathematical model under Atangana-Baleanu fractional differential operator

X Liu, M Arfan, M ur Rahman… - Computer Methods in …, 2023 - Taylor & Francis
In the given manuscript, the fractional mathematical model for the current pandemic of
COVID-19 is investigated. The model is composed of four agents of susceptible (S) …

Numerical and bifurcation analysis of SIQR model

N Ahmed, A Raza, M Rafiq, A Ahmadian… - Chaos, Solitons & …, 2021 - Elsevier
In this mathematical research paper, we analyze in detail the basic SIQR epidemic model.
We calculate its reproductive value R 0, equilibrium points and analyze the stability of the …

[HTML][HTML] Investigation of time-fractional SIQR Covid-19 mathematical model with fractal-fractional Mittage-Leffler kernel

A Ali, M ur Rahman, M Arfan, Z Shah, P Kumam… - Alexandria Engineering …, 2022 - Elsevier
In this manuscript, we investigate a nonlinear SIQR pandemic model to study the behavior of
covid-19 infectious diseases. The susceptible, infected, quarantine and recovered classes …

Positivity preserving operator splitting nonstandard finite difference methods for SEIR reaction diffusion model

N Ahmed, T SS, M Rafiq, MA Rehman, M Ali… - Open …, 2019 - degruyter.com
In this work, we will introduce two novel positivity preserving operator splitting nonstandard
finite difference (NSFD) schemes for the numerical solution of SEIR reaction diffusion …

[HTML][HTML] Mathematical modeling of malaria transmission dynamics in humans with mobility and control states

G Adegbite, S Edeki, I Isewon, J Emmanuel… - Infectious Disease …, 2023 - Elsevier
Malaria importation is one of the hypothetical drivers of malaria transmission dynamics
across the globe. Several studies on malaria importation focused on the effect of the use of …

A reliable numerical investigation of an SEIR model of measles disease dynamics with fuzzy criteria

F Dayan, N Ahmed, M Rafiq, A Raza, I Khan… - Scientific Reports, 2023 - nature.com
The terms susceptibility, exposure, infectiousness, and recovered all have some inherent
ambiguity because different population members have different susceptibility levels …

Analysis and nonstandard numerical design of a discrete three-dimensional hepatitis B epidemic model

JE Macías-Díaz, N Ahmed, M Rafiq - Mathematics, 2019 - mdpi.com
In this work, we numerically investigate a three-dimensional nonlinear reaction-diffusion
susceptible-infected-recovered hepatitis B epidemic model. To that end, the stability and …

A dynamically consistent approximation for an epidemic model with fuzzy parameters

F Dayan, N Ahmed, M Rafiq, MS Iqbal, I Khan… - Expert Systems with …, 2022 - Elsevier
In this article, a susceptible, infectious, and recovered (SIR) model with fuzzy parameters is
discussed. These concepts are uncertain due to the different degrees of susceptibility …

[HTML][HTML] Numerical analysis of auto-catalytic glycolysis model

N Ahmed, T SS, M Imran, M Rafiq, MA Rehman… - AIP Advances, 2019 - pubs.aip.org
The main purpose of this paper is to investigate the solution of general reaction–diffusion
glycolysis system numerically. Glycolysis model demonstrates the positive solution as the …