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 …

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 …

Dynamics of stochastic Zika virus with treatment class in human population via spectral method

EA Algehyne, FU Khan, SU Khan, W Jamshed… - Symmetry, 2022 - mdpi.com
The Zika virus model (ZIKV) is mathematically modeled to create the perfect control
strategies. The main characteristics of the model without control strategies, in particular …

Asymptotic behavior of three connected stochastic delay neoclassical growth systems using spectral technique

I Ali, SU Khan - Mathematics, 2022 - mdpi.com
In this study, we consider a nonlinear system of three connected delay differential
neoclassical growth models along with stochastic effect and additive white noise, which is …

Transmission dynamic of stochastic hepatitis C model by spectral collocation method

N Gul, SU Khan, I Ali, FU Khan - Computer Methods in …, 2022 - Taylor & Francis
In this research work, we present an exciting mathematical analysis of a stochastic model,
using a standard incidence function, for infectious disease hepatitis C transmission …