Positivity and boundedness preserving numerical algorithm for the solution of fractional nonlinear epidemic model of HIV/AIDS transmission

Z Iqbal, N Ahmed, D Baleanu, W Adel, M Rafiq… - Chaos, Solitons & …, 2020 - Elsevier
In this article, an integer order nonlinear HIV/AIDS infection model is extended to the non-
integer nonlinear model. The Grunwald Letnikov nonstandard finite difference scheme is …

Stability analysis of a nonlinear coupled implicit switched singular fractional differential system with p-Laplacian

M Ahmad, A Zada, J Alzabut - Advances in Difference Equations, 2019 - Springer
This paper deals with existence, uniqueness, and Hyers–Ulam stability of solutions to a
nonlinear coupled implicit switched singular fractional differential system involving Laplace …

Reliable numerical analysis for stochastic reaction-diffusion system

MW Yasin, N Ahmed, MS Iqbal, M Rafiq, A Raza… - Physica …, 2022 - iopscience.iop.org
In this article, stochastic behavior of reaction diffusion brusselator model is under
consideration. There are many physical phenomena which are related to chemical …

A reliable computational scheme for stochastic reaction–diffusion nonlinear chemical model

MS Arif, K Abodayeh, Y Nawaz - Axioms, 2023 - mdpi.com
The main aim of this contribution is to construct a numerical scheme for solving stochastic
time-dependent partial differential equations (PDEs). This has the advantage of solving …

[PDF][PDF] Investigation of numerical behavior of the Ginzburg-Landau equation and Davis-Skodje system via the modified Euler approach

L Torkzadeh - Romanian Journal of Physics, 2021 - rjp.nipne.ro
In this paper, we present two numerical schemes based on the Euler method that can
provide a suitable approximation for the solutions of Itô stochastic differential equations. The …

Numerical analysis of the susceptible exposed infected quarantined and vaccinated (SEIQV) reaction-diffusion epidemic model

N Ahmed, M Fatima, D Baleanu, KS Nisar, I Khan… - Frontiers in …, 2020 - frontiersin.org
In this paper, two structure-preserving nonstandard finite difference (NSFD) operator splitting
schemes are designed for the solution of reaction diffusion epidemic models. The proposed …

[HTML][HTML] Positivity preserving numerical method for epidemic model of hepatitis B disease dynamic with delay factor

MA ur Rehman, M Kazim, N Ahmed, A Raza… - Alexandria Engineering …, 2023 - Elsevier
This work attempts to study the numerical solution of nonlinear delayed Immunized
Susceptible Latent Infected and Recovered (MSLIR) epidemic model of HBV disease …

Structure preserving computational technique for fractional order Schnakenberg model

Z Iqbal, N Ahmed, D Baleanu, M Rafiq, MS Iqbal… - Computational and …, 2020 - Springer
The current article deals with the analysis and numerical solution of fractional order
Schnakenberg (SB) model. This model is a system of autocatalytic reactions by nature …

A numerical efficient splitting method for the solution of two dimensional susceptible infected recovered epidemic model of whooping cough dynamics: Applications in …

N Ahmed, M Ali, M Rafiq, I Khan, KS Nisar… - Computer Methods and …, 2020 - Elsevier
Abstract Background and Objective The positivity property of the non-linear dynamical
systems is one of the essential features in different fields of bio-medical engineering …

Analysis of the epidemic biological model of tuberculosis (TB) via numerical schemes

S Kanwal, MK Siddiqui, E Bonyah, K Sarwar… - …, 2022 - Wiley Online Library
Tuberculosis (TB) is caused by bacillus Mycobacterium tuberculosis (MTB). In this study, a
mathematical model of tuberculosis (TB) is analyzed. The numerical behaviour of the …