[HTML][HTML] Nonlinear equations with global differential and integral operators: existence, uniqueness with application to epidemiology

A Atangana, Sİ Araz - Results in Physics, 2021 - Elsevier
Very recently, the concept of instantaneous change was extended with the aim to
accommodate prediction of more complex real world problems that could not be predicted or …

A dynamic competition analysis of stochastic fractional differential equation arising in finance via pseudospectral method

I Ali, SU Khan - Mathematics, 2023 - mdpi.com
This research focuses on the analysis of the competitive model used in the banking sector
based on the stochastic fractional differential equation. For the approximate solution, a …

Threshold of stochastic SIRS epidemic model from infectious to susceptible class with saturated incidence rate using spectral method

I Ali, SU Khan - Symmetry, 2022 - mdpi.com
Stochastic SIRS models play a key role in formulating and analyzing the transmission of
infectious diseases. These models reflect the environmental changes of the diseases and …

[PDF][PDF] Dynamics and simulations of stochastic COVID-19 epidemic model using Legendre spectral collocation method

I Ali, SU Khan - AIMS Math, 2023 - aimspress.com
The aim of this study is to investigate the dynamics of epidemic transmission of COVID-19
SEIR stochastic model with generalized saturated incidence rate. We assume that the …

A restricted epidemic SIR model with elementary solutions

M Turkyilmazoglu - Physica A: Statistical Mechanics and its Applications, 2022 - Elsevier
The mathematical epidemic SIR (Susceptible–Infected–Recovered) model is targeted to
obtain full elementary solutions under restrictive assumptions in this paper. To achieve the …

Unraveling pine wilt disease: Comparative study of stochastic and deterministic model using spectral method

K Shah, L Wenqi, AA Raezah, N Khan, SU Khan… - Expert Systems with …, 2024 - Elsevier
The pinewood nematode, which causes a disease known as pine wilt, is a serious threat to
pine forests all over the world. In this paper, we analyze the dynamics of pine wilt disease …

Applications of orthogonal polynomials in simulations of mass transfer diffusion equation arising in food engineering

I Ali, MT Saleem - Symmetry, 2023 - mdpi.com
In this paper, Chebyshev polynomials—which are ultraspherical in the first and second kind
and hence symmetric, while the third and fourth order are not ultraspherical and are hence …

Numerical simulation of a fractional stochastic delay differential equations using spectral scheme: a comprehensive stability analysis

S Li, SU Khan, MB Riaz, SA AlQahtani, AM Alamri - Scientific Reports, 2024 - nature.com
The fractional stochastic delay differential equation (FSDDE) is a powerful mathematical tool
for modeling complex systems that exhibit both fractional order dynamics and stochasticity …

On dynamics of stochastic avian influenza model with asymptomatic carrier using spectral method

A Ali, SU Khan, I Ali, FU Khan - Mathematical Methods in the …, 2022 - Wiley Online Library
In ecosystem, the most critical issue is the extinction and persistence of population. For this
reason, various deterministic and stochastic models have been studied in the past decades …

Computational analysis of control of hepatitis B virus disease through vaccination and treatment strategies

AIK Butt, M Imran, J Aslam, S Batool, S Batool - Plos one, 2023 - journals.plos.org
Hepatitis B disease is an infection caused by a virus that severely damages the liver. The
disease can be both acute and chronic. In this article, we design a new nonlinear SVEICHR …